Small Four-Digit Prime Period Guns

[googoIpIex]

p7753 using a quadri-snark and a tremi-snark:

Code: Select all

x = 117, y = 120, rule = LifeHistory
36.A2.2A15.2A16.3A$36.4A.A14.A.A15.A3B$41.A16.A4.2A10.A3B$34.7A.2A10.
4A.2A2.A2.A9.4B$33.A2.B3.A.A2.A8.A2.A.A.A.A.2A10.4B$33.2A2.2A.AB2.2A
10.BABABA.A14.4B$28.2A6.B2AB2A15.B2ABA.A15.4B$28.A8.5B16.2B.BA17.4B$
30.A7.3B16.3B21.4B$26.5A6.5B6.2A6.4B22.4B$26.A9.4BAB7.A6.B2A3B21.4B$
28.B4A3.3BABA2B5.A.AB3.B2A3B22.4B$28.BA2.A2.4BABA2B6.2AB.10B21.4B$28.
4B4.4BA2B9.13B21.4B$24.2A3.15B8.14B21.4B$24.A2.A.2A14B7.15B21.4B$26.
2A.2A3BA11B8.8B2.4B21.4B$30.B.BABA11B7.6B5.4B21.4B$33.BA7B2.4B5.9B4.
4B20.4B$33.7B5.4B3.4B4.2A5.4B19.5B$33.9B4.4B.4B5.A7.4B17.9B$32.4B4.2A
5.7B7.3A5.4B16.9B$31.4B5.A7.5B10.A6.4B15.9B$30.4B7.3A4.5B18.4B13.10B$
29.4B10.A3.7B18.4B11.12B$28.4B14.4B.4B18.4B.3B6.13B$27.4B14.4B3.4B18.
8B6.11B$26.4B14.4B5.4B17.8B4.12B$25.4B14.4B7.4B10.A4.25B$24.4B14.4B9.
4B7.3A4.8B2C15B$23.4B14.4B11.4B5.A8.7B2C15B$22.4B14.4B13.4B4.2A9.23B.
B$21.4B5.A8.4B7.2A6.9B9.24B2A$20.4B4.5A4.5B5.2A2.A7.6B12.21B.B2A$19.
4B4.A5.A3.5B5.A3.A.2A5.6B3.B2.2B2.20B4.B$18.4B5.A2.3AB2.7B.BA.A4.A2.A
4.19BD16B$17.4B5.2A.A.2B3.7B.B2A6.2AB3.20BDBD14B$4.2A10.4B6.A2.4A12B
8.15B2A9B3D13B$5.A9.4B8.2A2.BA3B2A7B10.13B2A11BD13B2.A$3.A7.2B.4B5.2A
4.3AB.2B2A7B11.30B.8B2.3A$3.2A6.7B5.A5.A.B3.10B11.17B.B.2B10.7B5.A$.
2A2.BAB.2B2A6B.BA.A2.2A.A8.8B11.15B4.3B10.6B4.A.A$A2.4A3BA2BA5B.B2A3.
2A.2A7.9B10.15B5.A2B.2A6.7B3.A.AB$2A.A2.5B2A8B18.3B2.4B10.13B5.A.A2B.
A7.5B5.A3B$.A.A.2A14B16.5B3.4B11.13B2.A.AB2.A8.6B6.4B$.A.A.2AB.12B16.
2A7.4B9.8B4.2A.A.A3.A7.9B5.6B$2A.AB.B3.11B17.A8.4B8.6B6.2ABA2.4A.A5.
2A.7B4.7B$3.A8.B.3BA4B13.3A10.4B7.5B8.B2.A.A3.A.A5.A5.4B2.8B.A3B.B$3.
A.A8.2BABA5B11.A13.4B6.B.B9.2A.2A2.A2.A.A2.3A7.13BA3B.B2A$4.2A8.3BA7B
25.4B6.3B9.A.A2.2A3.A3.A10.15BA3BA$13.2B6.4B26.4B4.B2AB9.A.A22.16B.2B
$13.2A7.4B26.4B4.2A11.A23.6B2ABA3BABA$14.A8.4B26.4B40.7B2A6B$11.3A10.
4B26.4B37.2AB.10BAB$11.A13.4B26.4B35.A.AB2.8BABA$26.4B26.4B34.A5.6BAB
2A$27.4B26.4B32.2A5.6B3AB$28.4B26.4B37.8BA2B$29.4B26.4B37.10B$30.4B
26.4B36.8B.B2A.A$31.4B26.4B34.7B3.B2AB3A$32.4B26.4B33.6B6.B4.A$33.4B
26.4B33.6B4.2A.3A$34.4B26.2B2A32.5B4.A2.2A$35.4B26.2A2B30.8B.A.A$36.
4B26.BA2B29.8BA.A.2A.A$37.4B26.4B19.2A7.6B.2BAB.A.2A$38.4B26.4B19.A6.
2B3D2B2.2B2.A$39.4B26.4B18.A.AB3.4BD2B3.B.2A$40.4B26.4B18.2AB2.4B3DB
2.A.A2.2A$41.4B26.4B19.11B2.2A2.A2.A$42.4B26.4B18.11B7.2A$43.4B26.4B
17.11B$44.4B26.4B15.11B$45.4B26.4B15.7B.2B$46.4B26.4B14.11B$47.4B26.
4B14.10B$48.4B26.4B13.12B$49.4B26.4B13.13B$50.4B26.4B9.17B$51.4B26.4B
7.18B$52.4B26.4B5.2B2A13B.B2A$53.4B26.4B5.B2A6B.4B3.BA.A$54.4B26.4B3.
8B4.B8.A$55.4B26.4B2.6B15.2A$56.4B26.4B.7B$57.4B26.4B.6B$58.4B26.9B$
59.4B26.8B$60.4B26.8B$61.4B26.7B8.A$62.4B26.6B6.3A$63.4B25.2B3D2B4.A$
64.4B24.2BD4B4.2A$65.4B23.B3D4B.4B$66.4B22.11B$67.4B21.12B$68.4B20.
12B$69.4B20.11B$70.4B22.7B$71.4B12.B7.8B$72.2B2A9.7B.9B$73.BABA7.18B
2.2A$74.A3B5.19B.B.A$75.4B4.21B.A.2A$76.4B3.21B2A.A$77.4B2.21B.B.A$
78.8B3A6B.8B2A.A.2A$73.2A4.7BABA5B3.8BABA2.A$73.A.A2.7BA2BA2B7.7BA2.A
$75.A2.7BAB2A2B11.B.2B2A$75.2A8BAB2A3B4.A4.A2.A.A$73.2A2.10B2A2B3.3A
4.4A3.A$72.A2.4AB3.2BABA4B.A11.4A$73.2A2.BAB4.2BA6B.A8.2A$75.2A7.8B.
2A8.A2.A$75.A8.7B14.2A$77.A6.6B$76.2A6.5B$85.3B!

[Jormungant]

The smallest period gun using this unit is probably the following, which is p1592, and using SE5T23 to make a oscillator we get p1633.

Code: Select all

x = 290, y = 144, rule = LifeHistory
15$222.2A3.2A5.2B$205.2A15.2A2.A.3A4.B$205.A.A18.A4.A$207.A4.2A5.3B4A
.2A2.A$203.4A.2A2.A2.A4.2BAB.A.A.A.2A$203.A2.A.A.A.A.2A5.4BABABA.A$
64.2A15.4B120.BABABA.A9.4B2ABA.A$64.A.A15.4B120.B2ABA.A10.5B.BA$44.2A
20.A4.2A10.4B120.2B.BA12.4B$44.A.A15.4A.2A2.A2.A9.4B118.3B7.2A6.5B$
46.A4.2A9.A2.A.A.A.A.2A10.4B108.2A6.4B8.A6.B2A3B$42.4A.2A2.A2.A9.BABA
BA.A14.4B108.A6.B2A3B6.A.AB3.B2A5B$42.A2.A.A.A.A.2A10.B2ABA.A15.4B
107.A.AB3.B2A3B7.2AB.10B$44.BABABA.A14.2B.BA17.4B107.2AB.10B7.13B$45.
B2ABA.A13.3B21.4B108.13B6.14B$46.2B.BA5.2A6.4B22.4B107.14B5.15B$45.3B
9.A6.B2A3B21.4B106.15B6.8B2.4B$36.2A6.4B9.A.AB3.B2A3B22.4B107.8B2.4B
5.6B5.4B$37.A6.B2A3B8.2AB.10B21.4B106.6B5.4B3.9B4.4B$37.A.AB3.B2A3B
10.13B21.4B104.9B4.4B.4B4.2A5.4B$38.2AB.10B8.14B21.4B102.4B4.2A5.7B5.
A7.4B$40.13B7.15B21.4B100.4B5.A7.5B7.3A5.4B4.2A11.2A$40.14B8.8B2.4B
20.4B99.4B7.3A4.5B9.A6.4B2.B2AB10.2AB$40.15B7.6B5.4B19.5B97.4B10.A3.
7B16.4B.3B11.2B$42.8B2.4B5.9B4.4B17.9B93.4B14.4B.4B16.4B.B12.4B$42.6B
5.4B3.4B4.2A5.4B16.9B92.4B14.4B3.4B10.A5.11B6.4B$41.9B4.4B.4B5.A7.4B
15.9B91.4B14.4B5.4B7.3A5.11B6.4B$40.4B4.2A5.7B7.3A5.4B13.10B90.4B14.
4B7.4B5.A7.12B6.4B$39.4B5.A7.5B10.A6.4B11.12B88.4B14.4B9.4B4.2A6.12B
6.4B$38.4B7.3A4.5B18.4B.3B6.13B86.4B14.4B3.2A6.9B7.16B.4B.2B$37.4B10.
A3.7B18.8B6.11B86.4B14.4B5.A7.6B10.15B.6B2A$36.4B14.4B.4B17.8B4.12B
86.4B14.4B6.A.2A5.6B3.B2.2B2.14B.4B.B2A$35.4B14.4B3.4B10.A4.25B85.4B
5.A8.4B8.A2.A4.19BC10B.4B2.B$34.4B14.4B5.4B7.3A4.8B2D15B84.4B4.5A4.5B
5.2A3.2AB3.20BCBC14B$33.4B14.4B7.4B5.A8.7B2D15B69.4B10.4B4.A5.A3.5B5.
A4.15B2A9B3C13B$32.4B14.4B4.A4.4B4.2A9.23B.B67.4B8.4B5.A2.3AB2.7B.BA.
A6.13B2A11BC13B$31.4B14.4B3.3A5.9B9.24B2A67.4B6.4B5.2A.A.2B3.7B.B2A8.
39B$30.4B14.4B3.A9.6B12.21B.B2A64.2A2.4B4.4B6.A2.4A12B10.17B.4B8.9B.B
A$29.4B5.A8.4B5.A.3A5.6B3.B2.2B2.20B4.B66.A3.4B2.4B8.2A2.BA3B2A7B11.
15B3.2B10.9BA.A3.2A$28.4B4.5A4.5B5.2A.A2.A4.19BC16B69.A6.8B5.2A4.3AB.
2B2A7B11.15B3.3B10.9BA.A.A.A$27.4B4.A5.A3.5B5.A3.2AB3.20BCBC14B69.2A
6.7B5.A5.A.B3.10B12.13B5.A2B.2A7.6B.B2.A.A$26.4B5.A2.3AB2.7B.BA.A3.
15B2A9B3C13B68.2A2.BAB.2B2A6B.BA.A2.2A.A8.8B13.13B2.A.A2B.A7.5B5.A.BA
$25.4B5.2A.A.2B3.7B.B2A6.13B2A11BC13B6.2A59.A2.4A3BA2BA5B.B2A3.2A.2A
7.9B11.8B4.2A.A.AB2.A8.6B5.A.AB$12.2A10.4B6.A2.4A12B9.30B.8B2.2A.A.A
59.2A.A2.5B2A8B18.3B2.4B10.6B6.2ABA4.A7.2AB.5B5.A3B$13.A9.4B8.2A2.BA
3B2A7B9.17B.B.2B10.7B3.A.A62.A.A.2A14B16.5B3.4B9.5B8.B2.5A.A4.A.AB3.
4B6.4B$11.A7.2B.4B5.2A4.3AB.2B2A7B10.15B4.3B10.6B3.A.BA61.A.A.2AB.12B
16.2A7.4B8.B.B5.2A.A.2A.A4.A.A3.A7.4B5.6B$11.2A6.7B5.A5.A.B3.10B10.
15B5.A2B.2A6.7B3.A.AB59.2A.AB.B3.11B17.A8.4B8.3B4.A.2A.A2.A.2A2.A3.2A
8.4B4.7B$9.2A2.BAB.2B2A6B.BA.A2.2A.A8.8B10.13B5.A.A2B.A7.5B5.A3B61.A
8.B.8B13.3A10.4B6.B2AB11.2A.A.2A15.4B2.8B.4B.B$8.A2.4A3BA2BA5B.B2A3.
2A.2A7.9B11.13B2.A.AB2.A8.6B6.4B59.A.A8.9B12.A13.4B6.2A35.17B.B2A$8.
2A.A2.5B2A8B18.3B2.4B9.8B4.2A.A.A3.A7.9B5.6B58.2A9.3B2.4B26.4B43.18B
2A$9.A.A.2A14B16.5B3.4B8.6B6.2ABA2.4A.A5.2A.7B4.7B66.5B3.2B2D26.4B42.
16B.2B$9.A.A.2AB.12B16.2A7.4B7.5B8.B2.A.A3.A.A5.A5.4B2.8B.4B.B59.2A7.
BDBD26.4B41.16B$8.2A.AB.B3.11B17.A8.4B6.B.B9.2A.2A2.A2.A.A2.3A7.17B.B
2A59.A8.D3B26.4B40.15B$11.A8.B.8B13.3A10.4B6.3B9.A.A2.2A3.A3.A10.18B
2A56.3A10.4B26.4B37.2AB.12B$11.A.A8.9B12.A13.4B4.B2AB9.A.A22.16B.2B
57.A13.4B26.4B35.A.AB2.11B$12.2A9.3B2.4B26.4B4.2A11.A23.16B75.4B26.4B
34.A5.10B$21.5B3.2B2D26.4B40.15B77.4B26.4B32.2A5.2B2A6B$21.2A7.BDBD
26.4B37.2AB.12B79.4B26.4B37.3B2A6B$22.A8.D3B26.4B35.A.AB2.11B80.4B26.
4B37.10B$19.3A10.4B26.4B34.A5.10B82.4B26.4B36.8B.B2A.A$19.A13.4B26.4B
32.2A5.2B2A6B83.4B26.4B34.7B3.B2AB3A$34.4B26.4B37.3B2A6B84.4B26.4B33.
6B6.B4.A$35.4B26.4B37.10B85.4B26.4B33.6B4.2A.3A$36.4B26.4B36.8B.B2A.A
82.4B26.4B32.5B4.A2.2A$37.4B26.4B34.7B3.B2AB3A81.4B26.4B30.8B.A.A$38.
4B26.4B33.6B6.B4.A81.4B26.4B29.8BA.A.2A.A$39.4B26.4B33.6B4.2A.3A83.4B
26.4B19.2A7.6B.2BAB.A.2A$40.4B26.4B32.5B4.A2.2A86.4B26.4B19.A6.7B2.2B
2.A$41.4B26.4B30.8B.A.A90.4B26.4B18.A.AB3.7B3.B.2A$42.4B26.4B29.8BA.A
.2A.A87.4B26.4B18.2AB2.8B2.A.A2.2A$43.4B26.4B19.2A7.6B.2BAB.A.2A88.4B
26.4B19.11B2.2A2.A2.A$44.4B26.4B19.A6.2B3D2B2.2B2.A92.4B26.4B18.11B7.
2A$45.4B26.4B18.A.AB3.4BD2B3.B.2A93.4B26.4B17.11B$46.4B26.4B18.2AB2.
4B3DB2.A.A2.2A92.4B26.4B15.11B$47.4B26.4B19.11B2.2A2.A2.A92.4B26.4B
15.7B.2B$48.4B26.4B18.11B7.2A94.4B26.4B14.11B$49.4B26.4B17.11B104.4B
26.4B14.10B$50.4B26.4B15.11B106.4B26.4B13.12B$51.4B26.4B15.7B.2B107.
4B26.4B13.13B$52.4B26.4B14.11B107.4B26.4B9.17B$53.4B26.4B14.10B108.4B
26.4B7.18B$54.4B26.4B13.12B107.4B26.4B5.2B2A13B.B2A$55.4B26.4B13.13B
106.4B26.4B5.BA7B.4B3.BA.A$56.4B26.4B9.17B106.4B26.4B3.8B4.B8.A$57.4B
26.4B7.18B107.4B26.4B2.6B15.2A$58.4B26.4B5.2B2A13B.B2A106.4B26.4B.7B$
59.4B26.4B5.B2A6B.4B3.BA.A106.4B26.4B.6B$60.4B26.4B3.8B4.B8.A107.4B
26.9B$61.4B26.4B2.6B15.2A107.4B26.4BA3B$62.4B26.4B.7B124.4B26.3BA3BA$
63.4B26.4B.6B125.4B26.2BA2BAB8.A$64.4B26.9B127.4B26.2AB2AB6.3A$65.4B
26.3BA2B2A128.4B25.BABA3B4.A$66.4B26.8B128.4B24.2BA4B4.2A$67.4B26.BA
3BAB8.A120.4B23.8B.4B$68.4B26.4BAB6.3A121.4B22.11B$69.4B25.BADCD2B4.A
125.4B21.12B$70.4B24.2BD4B4.2A125.4B20.12B$71.4B23.B3C4B.4B126.4B20.
11B$72.4B22.11B129.4B14.2B6.7B$73.4B21.12B129.4B12.3B5.8B$74.4B20.12B
130.4B9.7B.9B$75.4B20.11B131.4B7.18B2.2A$76.4B22.7B133.4B5.19B.B.A$
77.4B12.B7.8B134.4B4.21B.A.2A$78.4B9.7B.9B136.4B3.21B2A.A$79.4B7.18B
2.2A133.4B2.21B.B.A$80.4B5.19B.B.A134.17B.8B2A.A.2A$81.4B4.21B.A.2A
126.2A4.15B3.8BABA2.A$82.4B3.21B2A.A127.A.A2.13B7.7BA2.A$83.4B2.21B.B
.A129.A2.13B11.B.2B2A$84.17B.8B2A.A.2A126.2A15B4.A4.A2.A.A$79.2A4.15B
3.8BABA2.A124.2A2.14B3.3A4.4A3.A$79.A.A2.13B7.7BA2.A125.A2.4AB3.9B.A
11.4A$81.A2.13B11.B.2B2A127.2A2.BAB4.9B.A8.2A$81.2A15B4.A4.A2.A.A130.
2A7.8B.2A8.A2.A$79.2A2.14B3.3A4.4A3.A128.A8.7B14.2A$78.A2.4AB3.9B.A
11.4A130.A6.6B$79.2A2.BAB4.9B.A8.2A133.2A6.5B$81.2A7.8B.2A8.A2.A140.
3B$81.A8.7B14.2A$83.A6.6B$82.2A6.5B$91.3B!

But I am sure there are other strategies to do the same effect, for instance the bee hive produced by the syringe could be used to kill the "main loop" glider instead.

[dvgrn]

The smallest period gun using this unit is probably the following, which is p1592, and using SE5T23 to make a oscillator we get p1633...

I don't think much of this "here's an odd period but it's an oscillator" business -- nobody seems to be collecting smallest-bounding-box oscillators. Here's one possible system for changing the parity reliably but retaining the NW31 and its nice edge-shooting output glider.

Code: Select all

x = 112, y = 45, rule = LifeHistory
D3.D2.3D2.5D.5D.5D3.D4.3D31.D3.D2.3D2.5D.5D.5D2.3D3.3D$D3.D.D3.D.D5.D
7.D4.2D3.D3.D30.D3.D.D3.D.D5.D7.D3.D3.D.D3.D$D3.D.D5.D5.D7.D5.D7.D30.
D3.D.D5.D5.D7.D7.D5.D$5D2.3D2.3D4.3D4.D5.D6.D31.5D2.3D2.3D4.3D4.D6.D
4.2D$D3.D5.D.D9.D3.D5.D5.D32.D3.D5.D.D9.D3.D5.D7.D$D3.D.D3.D.D5.D3.D
3.D5.D4.D33.D3.D.D3.D.D5.D3.D3.D4.D4.D3.D$D3.D2.3D2.5D2.3D4.D4.3D2.5D
30.D3.D2.3D2.5D2.3D4.D3.5D2.3D10$10.2A86.2A$11.A14.2A56.2A10.2B2AB$
11.A.AB11.2A57.A10.4B$12.2AB.B.3B64.A.AB6.7B$14.7B3.4A58.2AB.3B.8B$
14.7B2.A3.A60.14B$14.7B.2BAB62.14B$12.10BABAB63.13B$10.12B2A2B62.14B.
2B$10.2BD12B.2A58.18B2A$9.3BDBD8B4.A56.18B.B2A$10.2B3D6B6.A.A54.2BD
15B2.B$9.5BD6B7.2A53.3BDBD4B.7B$8.14B62.2B3D4B.8B$7.4B8.4B60.5BD4B2.
7B$7.3B10.4B58.10B3.7B$5.4B12.4B56.4B11.6B.BA$5.2A15.4B55.3B12.7BA.A$
6.A16.4B52.4B13.8BA$3.3A18.4B51.2A15.6B.B$3.A21.4B51.A15.5B$26.4B47.
3A16.6B$27.4B46.A16.2AB.5B$28.4B61.A.AB3.4B$29.4B60.A7.4B$30.4B58.2A
8.4B$31.4B68.3B$32.4B68.2B$33.4B!

An even-period gun with an HSE5T12 or HSE5T23 as the southern H-to-G should be trivially convertible to an odd-period gun by swapping in the alternate HSE5 H-to-G. For example, here's p5572 changing to p5607 -- a difference of +3 mod 8, as expected. The first p5607+8N gun is p5623:

Code: Select all

x = 122, y = 138, rule = LifeHistory
43.4D2.3D2.2D3.2D$43.D4.D4.D2.D.D2.D$43.D4.D7.D4.D$43.3D2.3D5.D2.2D$
46.D.D2.D3.D5.D$46.D.D2.D2.D3.D2.D$43.3D3.2D2.4D2.2D5$41.2A20.2A15.B
3C$41.A.A19.A.A15.C3B$43.A4.2A15.A4.2A10.C3B$39.4A.2A2.A2.A9.4A.2A2.A
2.A9.4B$39.A2.A.A.A.A.2A9.A2.A.A.A.A.2A10.4B$41.BABABA.A14.BABABA.A
14.4B$42.B2ABA.A15.B2ABA.A15.4B$43.2B.BA17.2B.BA17.4B$42.3B19.3B21.4B
$33.2A6.4B10.2A6.4B22.4B$34.A6.B2A3B9.A6.B2A3B21.4B$34.A.AB3.B2A3B9.A
.AB3.B2A3B22.4B$35.2AB.10B8.2AB.10B21.4B$37.13B9.13B21.4B$37.14B8.14B
21.4B$37.15B7.15B21.4B$39.8B2.4B8.8B2.4B20.4B$39.6B5.4B7.6B5.4B19.5B$
38.9B4.4B5.9B4.4B17.9B$37.4B4.2A5.4B3.4B4.2A5.4B16.9B$36.4B5.A7.4B.4B
5.A7.4B15.9B$35.4B7.3A5.7B7.3A5.4B13.10B$34.4B10.A6.5B10.A6.4B11.12B$
33.4B18.5B18.4B.3B6.13B$32.4B18.7B18.8B6.11B$31.4B19.3B.4B17.8B4.12B$
30.4B18.4B3.4B10.A4.25B$29.4B18.4B5.4B7.3A4.8B2C15B$28.4B18.4B7.4B5.A
8.7B2C15B$27.4B18.4B4.A4.4B4.2A9.23B.B$26.4B18.4B3.3A5.9B9.24B2A$25.
4B18.4B3.A9.6B12.21B.B2A$24.4B9.A8.4B5.A.3A5.6B3.B2.2B2.20B4.B$23.4B
8.5A4.5B5.2A.A2.A4.19BD16B$22.4B8.A5.A3.5B5.A3.2AB3.20BDBD14B$21.4B9.
A2.3AB2.7B.BA.A3.15B2A9B3D13B$20.4B9.2A.A.2B3.7B.B2A6.13B2A11BD13B6.
2A$19.4B10.A2.4A12B9.30B.8B2.2A.A.A$18.4B12.2A2.BA3B2A7B9.17B.B.2B10.
7B3.A.A$17.4B15.3AB.2B2A7B10.15B4.3B10.6B3.A.BA$4.2A10.4B16.A.B3.10B
10.15B5.A2B.2A6.7B3.A.AB$5.A9.4B14.2A.A8.8B10.13B5.A.A2B.A7.5B5.4A$3.
A7.2B.4B5.2A8.2A.2A7.9B11.13B2.A.AB2.A8.6B6.BA2B$3.2A6.7B5.A22.3B2.4B
9.8B4.2A.A.A3.A7.9B5.ABA3B$.2A2.BAB.2B2A6B.BA.A20.5B3.4B8.6B6.2ABA2.
4A.A5.2A.7B4.7B$A2.4A3BA2BA5B.B2A21.2A7.4B7.5B8.B2.A.A3.A.A5.A5.4B2.
5B2AB.4B.B$2A.A2.5B2A8B24.A8.4B6.B.B9.2A.2A2.A2.A.A2.3A7.7B3AB2ABA2B.
B2A$.A.A.2A14B21.3A10.4B6.3B9.A.A2.2A3.A3.A10.6BA3B5A3B2A$.A.A.2AB.
12B21.A13.4B4.B2AB9.A.A22.5B3ABA2B2A2B.2B$2A.AB.B3.11B36.4B4.2A11.A
23.6BAB2A6B$3.A8.B.8B36.4B40.8BA2BA2BA$3.A.A8.9B36.4B37.2AB.5BABA4B$
4.2A9.3B2.4B36.4B35.A.AB2.5B2A3BA$13.5B3.4B36.4B34.A5.6BA3B$13.2A7.4B
36.4B32.2A5.7BA2B$14.A8.4B36.4B37.11B$11.3A10.4B36.4B37.10B$11.A13.4B
36.4B36.8B.B2A.A$26.4B36.4B34.7B3.B2AB3A$27.4B36.4B33.6B6.B4.A$28.4B
36.4B33.6B4.2A.3A$29.4B36.4B32.5B4.A2.2A$30.4B36.4B30.8B.A.A$31.4B36.
4B29.8BA.A.2A.A$32.4B36.4B19.2A7.6B.2BAB.A.2A$33.4B36.3BC19.A6.2B3D2B
2.2B2.A$34.4B36.B2CB18.A.AB3.4BD2B3.B.2A$35.4B36.CBCB18.2AB2.4B3DB2.A
.A2.2A$36.4B36.4B19.11B2.2A2.A2.A$37.4B36.4B18.11B7.2A$38.4B36.4B17.
11B$39.4B36.4B15.11B$40.4B36.4B15.7B.2B$41.4B36.4B14.11B$42.4B5.B30.
4B14.10B$43.4B36.4B13.12B$44.4B36.4B13.13B$45.4B36.4B9.17B$46.4B36.4B
7.18B$47.4B36.4B5.2B2A13B.B2A$48.4B36.4B5.B2A6B.4B3.BA.A$49.4B36.4B3.
8B4.B8.A$50.4B36.4B2.6B15.2A$51.4B36.4B.7B$52.4B36.4B.6B$53.4B36.9B$
54.4B36.8B$55.4B36.8B$56.4B36.7B8.A$57.4B36.6B6.3A$58.4B35.2B3D2B4.A$
59.4B34.2BD4B4.2A$60.4B33.B3D4B.4B$61.4B32.11B$62.4B31.12B$63.4B30.
12B$64.4B19.A10.11B$65.4B18.3A11.7B$66.4B20.A8.10B$67.4B18.2A6.13B$
68.4B17.23B$69.4B18.21B$70.4B6.A9.21B2A$71.4B5.3A7.21B2A$72.4B7.A5.
21B.B$73.4B5.2A4.4B.7B.9B$74.4B4.9B3.2B7.B$75.4B5.6B3.2BAB5.3B$76.4B
2.8B4.A.A4.B2AB$77.15B3.A6.2A$78.14B$79.13B$80.10B.B2A$81.7B3.BA.A$
80.9B5.A$80.4B2A2B6.2A$82.2B2A2B$82.5B$83.3B$82.5B$82.2AB2AB$78.2A2.B
A.2A2.2A$78.A2.A.A3.B2.A$80.2A.7A$82.A$82.A.4A$83.2A2.A!

As usual there are many different gun series with other period multipliers replacing the two tremi-Snarks and one regular Snark. Unfortunately the period of the base loop is 665, an odd number, so I think it would be necessary to switch back to HSE5T12 any time a 2x or 4x multiplier is included. Let's see:

Code: Select all

x = 380, y = 138, rule = LifeHistory
42.2D3.3D2.2D3.2D113.2D2.4D2.2D3.2D113.2D3.3D2.D.4D$41.D2.D.D4.D2.D.D
2.D111.D2.D.D4.D2.D.D2.D111.D2.D.D4.2D4.D$44.D.D7.D.D2.D114.D.D4.D2.D
4.D114.D.D5.D4.D$42.2D2.3D5.D2.2D113.2D2.3D3.3D2.2D113.2D2.3D3.D3.D$
44.D.D2.D3.D2.D2.D114.D4.D4.D4.D114.D.D2.D2.D3.D$41.D2.D.D2.D2.D3.D2.
D111.D2.D4.D4.D.D2.D111.D2.D.D2.D2.D2.D$42.2D3.2D2.4D2.2D113.2D2.3D2.
3D3.2D113.2D3.2D2.3D.D5$39.2A20.2A15.B3C87.2A20.2A15.B3C109.2A15.B3C$
39.A.A19.A.A15.C3B86.A.A19.A.A15.C3B87.2A19.A.A15.C3B$41.A4.2A15.A4.
2A10.C3B87.A4.2A15.A4.2A10.C3B86.A.A20.A4.2A10.C3B$37.4A.2A2.A2.A9.4A
.2A2.A2.A9.4B82.4A.2A2.A2.A9.4A.2A2.A2.A9.4B87.A4.2A10.4A.2A2.A2.A9.
4B$37.A2.A.A.A.A.2A9.A2.A.A.A.A.2A10.4B81.A2.A.A.A.A.2A9.A2.A.A.A.A.
2A10.4B82.4A.2A2.A2.A8.A2.A.A.A.A.2A10.4B$39.BABABA.A14.BABABA.A14.4B
82.BABABA.A14.BABABA.A14.4B81.A2.A.A.A.A.2A10.BABABA.A14.4B$40.B2ABA.
A15.B2ABA.A15.4B82.B2ABA.A15.B2ABA.A15.4B82.BABABA.A14.B2ABA.A15.4B$
41.2B.BA17.2B.BA17.4B82.2B.BA17.2B.BA17.4B82.B2ABA.A15.2B.BA17.4B$40.
3B19.3B21.4B80.3B19.3B21.4B82.2B.BA15.3B21.4B$31.2A6.4B10.2A6.4B22.4B
70.2A6.4B10.2A6.4B22.4B80.3B9.2A6.4B22.4B$32.A6.B2A3B9.A6.B2A3B21.4B
70.A6.B2A3B9.A6.B2A3B21.4B70.2A6.4B10.A6.B2A3B21.4B$32.A.AB3.B2A3B9.A
.AB3.B2A3B22.4B69.A.AB3.B2A3B9.A.AB3.B2A3B22.4B70.A6.B2A3B8.A.AB3.B2A
3B22.4B$33.2AB.10B8.2AB.10B21.4B69.2AB.10B8.2AB.10B21.4B69.A.AB3.B2A
3B9.2AB.10B21.4B$35.13B9.13B21.4B70.13B9.13B21.4B69.2AB.10B9.13B21.4B
$35.14B8.14B21.4B69.14B8.14B21.4B70.13B8.14B21.4B$35.15B7.15B21.4B68.
15B7.15B21.4B69.14B7.15B21.4B$37.8B2.4B8.8B2.4B20.4B70.8B2.4B8.8B2.4B
20.4B69.15B8.8B2.4B20.4B$37.6B5.4B7.6B5.4B19.5B69.6B5.4B7.6B5.4B19.5B
70.8B2.4B7.6B5.4B19.5B$36.9B4.4B5.9B4.4B17.9B65.9B4.4B5.9B4.4B17.9B
67.6B5.4B5.9B4.4B17.9B$35.4B4.2A5.4B3.4B4.2A5.4B16.9B64.4B4.2A5.4B3.
4B4.2A5.4B16.9B66.9B4.4B3.4B4.2A5.4B16.9B$34.4B5.A7.4B.4B5.A7.4B15.9B
63.4B5.A7.4B.4B5.A7.4B15.9B65.4B4.2A5.4B.4B5.A7.4B15.9B$33.4B7.3A5.7B
7.3A5.4B13.10B62.4B7.3A5.7B7.3A5.4B13.10B64.4B5.A7.7B7.3A5.4B13.10B$
32.4B10.A6.5B10.A6.4B11.12B60.4B10.A6.5B10.A6.4B11.12B62.4B7.3A5.5B
10.A6.4B11.12B$31.4B18.5B18.4B.3B6.13B58.4B18.5B18.4B.3B6.13B60.4B10.
A5.5B18.4B.3B6.13B$30.4B18.7B18.8B6.11B58.4B18.7B18.8B6.11B60.4B16.7B
18.8B6.11B$29.4B18.4B.4B17.8B4.12B58.4B18.4B.4B17.8B4.12B60.4B16.4B.
4B17.8B4.12B$28.4B18.4B3.4B10.A4.25B57.4B18.4B3.4B10.A4.25B59.4B16.4B
3.4B10.A4.25B$27.4B18.4B5.4B7.3A4.8B2C15B56.4B18.4B5.4B7.3A4.8B2C15B
58.4B16.4B5.4B7.3A4.8B2C15B$26.4B18.4B7.4B5.A8.7B2C15B55.4B18.4B7.4B
5.A8.7B2C15B57.4B16.4B7.4B5.A8.7B2C15B$25.4B18.4B4.A4.4B4.2A9.23B.B
51.4B18.4B4.A4.4B4.2A9.23B.B53.4B16.4B4.A4.4B4.2A9.23B.B$24.4B18.4B3.
3A5.9B9.24B2A49.4B18.4B3.3A5.9B9.24B2A51.4B16.4B3.3A5.9B9.24B2A$23.4B
18.4B3.A9.6B12.21B.B2A48.4B18.4B3.A9.6B12.21B.B2A50.4B16.4B3.A9.6B12.
21B.B2A$22.4B9.A8.4B5.A.3A5.6B3.B2.2B2.20B4.B48.4B9.A8.4B5.A.3A5.6B3.
B2.2B2.20B4.B50.4B7.A8.4B5.A.3A5.6B3.B2.2B2.20B4.B$21.4B8.5A4.5B5.2A.
A2.A4.19BD16B52.4B8.5A4.5B5.2A.A2.A4.19BD16B54.4B6.5A4.5B5.2A.A2.A4.
19BD16B$20.4B8.A5.A3.5B5.A3.2AB3.20BDBD14B51.4B8.A5.A3.5B5.A3.2AB3.
20BDBD14B53.4B6.A5.A3.5B5.A3.2AB3.20BDBD14B$19.4B9.A2.3AB2.7B.BA.A3.
15B2A9B3D13B51.4B9.A2.3AB2.7B.BA.A3.15B2A9B3D13B53.4B7.A2.3AB2.7B.BA.
A3.15B2A9B3D13B$18.4B9.2A.A.2B3.7B.B2A6.13B2A11BD13B6.2A30.2A10.4B9.
2A.A.2B3.7B.B2A6.13B2A11BD13B6.2A44.4B7.2A.A.2B3.7B.B2A6.13B2A11BD13B
6.2A$17.4B10.A2.4A12B9.30B.8B2.2A.A.A31.A9.4B10.A2.4A12B9.30B.8B2.2A.
A.A43.4B8.A2.4A12B9.30B.8B2.2A.A.A$16.4B12.2A2.BA3B2A7B9.17B.B.2B10.
7B3.A.A31.A10.4B12.2A2.BA3B2A7B9.17B.B.2B10.7B3.A.A44.4B10.2A2.BA3B2A
7B9.17B.B.2B10.7B3.A.A$3.2A10.4B15.3AB.2B2A7B10.15B4.3B10.6B3.A.BA30.
5A5.4B5.2A8.3AB.2B2A7B10.15B4.3B10.6B3.A.BA36.2A4.4B13.3AB.2B2A7B10.
15B4.3B10.6B3.A.BA$4.A9.4B16.A.B3.10B10.15B5.A2B.2A6.7B3.A.AB34.A4.4B
5.A9.A.B3.10B10.15B5.A2B.2A6.7B3.A.AB34.A.A3.4B14.A.B3.10B10.15B5.A2B
.2A6.7B3.A.AB$2.A10.4B14.2A.A8.8B10.13B5.A.A2B.A7.5B5.4A30.3AB2.7B.BA
.A6.2A.A8.8B10.13B5.A.A2B.A7.5B5.4A33.A4.4B12.2A.A8.8B10.13B5.A.A2B.A
7.5B5.4A$2.5A5.4B5.2A8.2A.2A7.9B11.13B2.A.AB2.A8.6B6.BA2B27.A.2B3.7B.
B2A7.2A.2A7.9B11.13B2.A.AB2.A8.6B6.BA2B26.A.2A.2A2.4B13.2A.2A7.9B11.
13B2.A.AB2.A8.6B6.BA2B$7.A4.4B5.A22.3B2.4B9.8B4.2A.A.A3.A7.9B5.ABA3B
25.4A7B2D3B22.3B2.4B9.8B4.2A.A.A3.A7.9B5.ABA3B24.2A.A.7B27.3B2.4B9.8B
4.2A.A.A3.A7.9B5.ABA3B$4.3AB2.7B.BA.A20.5B3.4B8.6B6.2ABA2.4A.A5.2A.7B
4.7B22.2A2.BA3B2A2BDBD2B20.5B3.4B8.6B6.2ABA2.4A.A5.2A.7B4.7B26.A3.6B
24.5B3.4B8.6B6.2ABA2.4A.A5.2A.7B4.7B$3.A.2B3.7B.B2A21.2A7.4B7.5B8.B2.
A.A3.A.A5.A5.4B2.5B2AB.4B.B14.A2.3AB.2B2A2BD4B20.2A7.4B7.5B8.B2.A.A3.
A.A5.A5.4B2.5B2AB.4B.B19.2A2.7B6.2A15.2A7.4B7.5B8.B2.A.A3.A.A5.A5.4B
2.5B2AB.4B.B$3.4A7B2D3B24.A8.4B6.B.B9.2A.2A2.A2.A.A2.3A7.7B3AB2ABA2B.
B2A13.2A.A.B3.10B21.A8.4B6.B.B9.2A.2A2.A2.A.A2.3A7.7B3AB2ABA2B.B2A22.
6BAB5.A17.A8.4B6.B.B9.2A.2A2.A2.A.A2.3A7.7B3AB2ABA2B.B2A$.2A2.BA3B2A
2BDBD2B21.3A10.4B6.3B9.A.A2.2A3.A3.A10.6BA3B5A3B2A16.A8.3BA4B17.3A10.
4B6.3B9.A.A2.2A3.A3.A10.6BA3B5A3B2A22.5BABA2.BA.A14.3A10.4B6.3B9.A.A
2.2A3.A3.A10.6BA3B5A3B2A$A2.3AB.2B2A2BD4B21.A13.4B4.B2AB9.A.A22.5B3AB
A2B2A2B.2B17.2A7.2BABA4B16.A13.4B4.B2AB9.A.A22.5B3ABA2B2A2B.2B23.5B2A
2B.B2A15.A13.4B4.B2AB9.A.A22.5B3ABA2B2A2B.2B$2A.A.B3.10B36.4B4.2A11.A
23.6BAB2A6B29.3BA6B30.4B4.2A11.A23.6BAB2A6B25.12B32.4B4.2A11.A23.6BAB
2A6B$3.A8.3BA4B36.4B40.8BA2BA2BA27.2A.4B3.4B30.4B40.8BA2BA2BA26.12B
33.4B40.8BA2BA2BA$3.2A7.2BABA4B36.4B37.2AB.5BABA4B28.A.4B5.4B30.4B37.
2AB.5BABA4B27.7B3D2B34.4B37.2AB.5BABA4B$12.3BA6B36.4B35.A.AB2.5B2A3BA
25.2A.A.2B2AB5.4B30.4B35.A.AB2.5B2A3BA25.2AB.5BDB2A36.4B35.A.AB2.5B2A
3BA$9.2A.4B3.4B36.B3A34.A5.6BA3B24.A2.A.2A2B2A7.4B30.B3A34.A5.6BA3B
25.A.AB2.5BD2AB36.B3A34.A5.6BA3B$9.A.4B5.4B36.A3B32.2A5.7BA2B24.2A.A.
3B11.4B30.A3B32.2A5.7BA2B25.A6.9B36.A3B32.2A5.7BA2B$6.2A.A.2B2AB5.4B
36.A3B37.11B27.A5.2A9.4B30.A3B37.11B24.2A5.5B2.4B36.A3B37.11B$4.A2.A.
2A2B2A7.4B36.4B37.10B27.2A5.A10.4B30.4B37.10B30.BAB.B4.4B36.4B37.10B$
4.2A.A.3B11.4B36.4B36.8B.B2A.A28.A13.4B30.4B36.8B.B2A.A26.A.A.2A4.4B
36.4B36.8B.B2A.A$7.A5.2A9.4B36.4B34.7B3.B2AB3A26.2A13.4B30.4B34.7B3.B
2AB3A25.2A.A2.A3.4B36.4B34.7B3.B2AB3A$7.2A5.A10.4B36.4B33.6B6.B4.A41.
4B30.4B33.6B6.B4.A26.A2.2A4.4B36.4B33.6B6.B4.A$12.A13.4B36.4B33.6B4.
2A.3A43.4B30.4B33.6B4.2A.3A24.A.A10.4B36.4B33.6B4.2A.3A$12.2A13.4B36.
4B32.5B4.A2.2A46.4B30.4B32.5B4.A2.2A26.2A12.4B36.4B32.5B4.A2.2A$28.4B
36.4B30.8B.A.A50.4B30.4B30.8B.A.A44.4B36.4B30.8B.A.A$29.4B36.4B29.8BA
.A.2A.A47.4B30.4B29.8BA.A.2A.A41.4B36.4B29.8BA.A.2A.A$30.4B36.4B19.2A
7.6B.2BAB.A.2A48.4B30.4B19.2A7.6B.2BAB.A.2A42.4B36.4B19.2A7.6B.2BAB.A
.2A$31.4B36.3BD19.A6.2B3D2B2.2B2.A52.4B30.3BD19.A6.2B3D2B2.2B2.A46.4B
36.3BD19.A6.2B3D2B2.2B2.A$32.4B36.B2DB18.A.AB3.4BD2B3.B.2A53.4B30.B2D
B18.A.AB3.4BD2B3.B.2A47.4B36.B2DB18.A.AB3.4BD2B3.B.2A$33.4B36.DBDB18.
2AB2.4B3DB2.A.A2.2A52.4B30.DBDB18.2AB2.4B3DB2.A.A2.2A46.4B36.DBDB18.
2AB2.4B3DB2.A.A2.2A$34.4B36.4B19.11B2.2A2.A2.A52.4B30.4B19.11B2.2A2.A
2.A46.4B36.4B19.11B2.2A2.A2.A$35.4B36.4B18.11B7.2A54.4B30.4B18.11B7.
2A48.4B36.4B18.11B7.2A$36.4B36.4B17.11B64.4B30.4B17.11B58.4B36.4B17.
11B$37.4B36.4B15.11B66.4B5.B24.4B15.11B60.4B36.4B15.11B$38.4B36.4B15.
7B.2B67.4B30.4B15.7B.2B61.4B36.4B15.7B.2B$39.4B36.4B14.11B67.4B30.4B
14.11B61.4B36.4B14.11B$40.4B5.B30.4B14.10B68.4B30.4B14.10B62.4B5.B30.
4B14.10B$41.4B36.4B13.12B67.4B30.4B13.12B61.4B36.4B13.12B$42.4B36.4B
13.13B66.4B30.4B13.13B60.4B36.4B13.13B$43.4B36.4B9.17B66.4B30.4B9.17B
60.4B36.4B9.17B$44.4B36.4B7.18B67.4B30.4B7.18B61.4B36.4B7.18B$45.4B
36.4B5.2B2A13B.B2A66.4B30.4B5.2B2A13B.B2A60.4B36.4B5.2B2A13B.B2A$46.
4B36.4B5.B2A6B.4B3.BA.A66.4B30.4B5.B2A6B.4B3.BA.A60.4B36.4B5.B2A6B.4B
3.BA.A$47.4B36.4B3.8B4.B8.A67.4B30.4B3.8B4.B8.A61.4B36.4B3.8B4.B8.A$
48.4B36.4B2.6B15.2A67.4B30.4B2.6B15.2A61.4B36.4B2.6B15.2A$49.4B36.4B.
7B84.4B30.4B.7B78.4B36.4B.7B$50.4B36.4B.6B85.4B30.4B.6B79.4B36.4B.6B$
51.4B36.9B87.4B30.9B81.4B36.9B$52.4B36.8B88.4B30.8B82.4B36.8B$53.4B
36.8B88.4B30.8B82.4B36.8B$54.4B36.7B8.A80.4B30.7B7.A75.4B36.7B8.A$55.
4B36.6B6.3A81.4B30.6B5.3A76.4B36.6B6.3A$56.4B35.2B3D2B4.A85.4B29.2B3D
2B3.A80.4B35.2B3D2B4.A$57.4B34.2BD4B4.2A85.4B28.2BD4B3.2A80.4B34.2BD
4B4.2A$58.4B33.B3D4B.4B86.4B27.B3D8B81.4B33.B3D4B.4B$59.4B32.11B89.4B
26.10B84.4B32.11B$60.4B31.12B89.4B25.11B84.4B31.12B$61.4B30.12B90.4B
24.10B86.4B30.12B$62.4B19.A10.11B91.4B23.11B86.4B19.A10.11B$63.4B18.
3A11.7B93.4B21.12B87.4B18.3A11.7B$64.4B20.A8.10B93.4B19.13B88.4B20.A
8.10B$65.4B18.2A6.13B93.4B6.A10.4B2.4B93.4B18.2A6.13B$66.4B17.23B92.
4B5.3A7.4B3.2B2AB93.4B17.23B$67.4B18.21B93.4B7.A5.4B5.BA2BA93.4B18.
21B$68.4B6.A9.21B2A93.4B5.2A4.4B6.2B2A.A93.4B6.A9.21B2A$69.4B5.3A7.
21B2A94.4B4.9B8.3B.A94.4B5.3A7.21B2A$70.4B7.A5.21B.B96.4B5.6B8.A4.A.
2A92.4B7.A5.21B.B$71.4B5.2A4.4B.7B.9B99.4B2.8B6.3A3.2A.2A93.4B5.2A4.
4B.7B.9B$72.4B4.9B3.2B7.B106.15B3.A105.4B4.9B3.2B7.B$73.4B5.6B3.2BAB
5.3B106.14B3.2A105.4B5.6B3.2BAB5.3B$74.4B2.8B4.A.A4.B2AB107.13B111.4B
2.8B4.A.A4.B2AB$75.15B3.A6.2A109.10B.B2A110.15B3.A6.2A$76.14B122.7B3.
BA.A110.14B$77.13B121.9B5.A111.13B$78.10B.B2A119.4B2A2B6.2A111.10B.B
2A$79.7B3.BA.A120.2B2A2B120.7B3.BA.A$78.9B5.A120.5B120.9B5.A$78.4B2A
2B6.2A120.3B121.4B2A2B6.2A$80.2B2A2B127.5B122.2B2A2B$80.5B128.2AB2AB
121.5B$81.3B125.2A2.BA.2A2.2A119.3B$80.5B124.A2.A.A3.B2.A118.5B$80.2A
B2AB125.2A.7A119.2AB2AB$76.2A2.BA.2A2.2A124.A122.2A2.BA.2A2.2A$76.A2.
A.A3.B2.A124.A.4A117.A2.A.A3.B2.A$78.2A.7A126.2A2.A119.2A.7A$80.A259.
A$80.A.4A254.A.4A$81.2A2.A255.2A2.A!

-- Yup, changing the multiplier from 9x to 6x produces a p3628 gun (left). Swapping the HSE5T12 back in changes it to p3593+8N (middle). Leaving the HSE5T23 in place swapping in a semi-cenark instead of a semi-Snark, produces p3517+8N (right).

In each case the minimum adjustment is one or two 8-steps lower, but I think p3593 and p3517 are the first available prime numbers.

[googoIpIex]

added the recent guns to the collection. Does anyone know when jormungant's guns become competitive?

[dvgrn]

added the recent guns to the collection. Does anyone know when jormungant's guns become competitive?

At least compared to the chris_c-universal-script guns currently in the collection, they're eminently competitive starting with the period-1993 sample gun that Jormungant posted. Really that particular series is something like p1929+8N --

Code: Select all

x = 108, y = 118, rule = LifeHistory
49.2A15.B3A$49.A.A15.A3B$29.2A20.A4.2A10.A3B$29.A.A15.4A.2A2.A2.A9.4B
$31.A4.2A9.A2.A.A.A.A.2A10.4B$27.4A.2A2.A2.A9.BABABA.A14.4B$27.A2.A.A
.A.A.2A10.B2ABA.A15.4B$29.BABABA.A14.2B.BA17.4B$30.B2ABA.A13.3B21.4B$
31.2B.BA5.2A6.4B22.4B$30.3B9.A6.B2A3B21.4B$21.2A6.4B9.A.AB3.B2A3B22.
4B$22.A6.B2A3B8.2AB.10B21.4B$22.A.AB3.B2A4B9.13B21.4B$23.2AB.10B8.14B
21.4B$25.13B7.15B21.4B$25.14B8.8B2.4B20.4B$25.15B7.6B5.4B19.5B$27.8B
2.4B5.9B4.4B17.9B$27.6B5.4B3.4B4.2A5.4B16.9B$26.9B4.4B.4B5.A7.4B15.9B
$25.4B4.2A5.7B7.3A5.4B13.10B$24.4B5.A7.5B10.A6.4B11.12B$23.4B7.3A4.5B
18.4B.3B6.13B$22.4B10.A3.7B18.8B6.11B$9.2A10.4B14.4B.4B17.8B4.12B$10.
A9.4B14.4B3.4B10.A4.25B$8.A10.4B14.4B5.4B7.3A4.8B2C15B$8.5A2.2B.5B4.
2A7.4B7.4B5.A8.7B2C15B$13.A.7B5.A7.4B9.4B4.2A9.23B.B$10.3A2BD7B.BA.A
6.4B3.2A6.9B9.24B2A$9.A.2B.9B.B2A6.4B5.A7.6B12.21B.B2A$9.4A12B7.4B6.A
.2A5.6B3.B2.2B2.20B4.B$7.2A2.BA3B2A7B6.4B8.A2.A4.19BD16B$6.A2.3AB.2B
2A7B5.4B10.2AB3.20BDBD14B$6.2A.A.B2.11B4.4B11.15B2A9B3D13B$9.A6.B.8B
2.4B14.13B2A11BD13B2.A$9.2A7.13B16.30B.8B2.3A$19.3B2.6B17.17B.B.2B10.
7B5.A$17.5B3.4B19.15B4.3B10.6B4.A.A$17.2A5.6B18.15B5.A2B.2A6.7B3.A.AB
$18.A4.8B18.13B5.A.A2B.A7.5B5.4A$15.3A4.4B2.4B19.13B2.A.AB2.A8.6B6.BA
2B$15.A5.4B4.4B17.8B4.2A.A.A3.A7.9B5.ABA3B$20.4B6.4B16.6B6.2ABA2.4A.A
5.2A.7B4.7B$7.2A10.4B8.4B15.5B8.B2.A.A3.A.A5.A5.4B2.5B2AB.4B.B$8.A9.
4B10.4B14.B.B9.2A.2A2.A2.A.A2.3A7.7B3AB2ABA2B.B2A$6.A10.4B12.4B14.3B
9.A.A2.2A3.A3.A10.6BA3B5A3B2A$6.5A5.4B5.2A7.4B12.B2AB9.A.A22.5B3ABA2B
2A2B.2B$11.A4.4B5.A9.4B12.2A11.A23.6BAB2A6B$8.3AB2.7B.BA.A10.4B48.8BA
2BA2BA$7.A.2B3.7B.B2A12.4B45.2AB.5BABA4B$7.4A12B15.4B43.A.AB2.5B2A3BA
$5.2A2.BA3B2A7B16.4B42.A5.6BA3B$4.A2.3AB.2B2A7B17.4B40.2A5.7BA2B$4.2A
.A.B3.10B18.4B10.2A33.11B$7.A8.8B18.4B9.A35.10B$7.2A7.9B18.4B10.A33.
8B.B2A.A$17.3B2.4B11.2A5.4B5.5A32.7B3.B2AB3A$15.5B3.4B11.A5.4B4.A37.
6B6.B4.A$15.2A7.4B10.A.AB.7B2.B3A14.2A2.A16.6B4.2A.3A$16.A8.4B10.2AB.
7B3.2B.A12.A.4A16.5B4.A2.2A$13.3A10.4B11.12B4A12.A20.8B.A.A$13.A13.4B
10.7B2A3BAB2.2A8.2A.7A13.8BA.A.2A.A$28.4B9.7B2A2B.B3A2.A5.A2.A.A3.B2.
A3.2A7.6B.2BAB.A.2A$29.4B8.10B3.B.A.2A5.2A2.BA.2A2.2A4.A6.2B3D2B2.2B
2.A$30.4B6.8B8.A12.2AB2AB7.A.AB3.4BD2B3.B.2A$31.4B4.9B7.2A12.5B9.2AB
2.4B3DB2.A.A2.2A$32.4B2.4B2.3B23.3B12.11B2.2A2.A2.A$33.8B3.5B20.5B11.
11B7.2A$34.6B7.2A20.2B2C2B10.11B$35.4B8.A19.2BDB2A2B6.2A.11B$34.6B8.
3A16.2BD6B5.A3.7B.2B$33.8B9.A17.2BDB2DB3.BA.A3.11B$32.4B2.4B25.10B.B
2A5.10B$31.4B4.4B23.13B7.12B$30.4B6.4B21.14B8.13B$29.4B8.4B19.15B5.
17B$28.4B10.4B17.4B2.8B6.18B$27.4B12.4B15.4B5.6B5.2B2A13B.B2A$26.4B
14.4B13.4B4.9B5.B2A6B.4B3.BA.A$25.4B16.4B11.4B5.2A4.4B3.8B4.B8.A$24.
4B18.4B9.4B7.A5.4B2.6B15.2A$14.2A7.4B20.4B7.4B5.3A7.4B.7B$13.B2AB5.4B
22.4B5.4B6.A10.4B.6B$13.3B5.4B24.4B3.4B19.9B$14.B.B3.4B26.4B.4B21.8B$
12.6B.4B28.7B23.8B$12.10B30.4B26.7B8.A$5.B3.12B7.2A22.5B26.6B6.3A$5.B
2.12B8.A22.7B25.2B3D2B4.A$5.14B6.BA.A21.4B.4B24.2BD4B4.2A$4.15B2.3B.B
2A10.A10.4B3.4B23.B3D4B.4B$.2B.22B12.3A7.4B5.3BA22.11B$2A24B15.A5.4B
7.B2AB21.12B$2AB.21B15.2A4.4B9.ABAB20.12B$.B.23B14.9B6.2A3.4B20.11B$
7.21B14.6B7.A5.4B22.7B$5.B5.20B2.2B2.B3.6B5.2A.A6.4B12.B7.8B$12.15BD
19B4.A2.A8.4B9.7B.9B$13.7B.4BDBD20B3.B2A10.4B7.18B2.2A$13.6B2.4B3D9B
2A14B12.4B5.19B.B.A$12.6B3.4BD11B2A13B14.4B4.21B.A.2A$12.4B6.29B16.4B
3.21B2A.A$12.2B2AB12.2B.B.17B17.4B2.BABA17B.B.A$10.2AB.2A12.3B4.15B
19.6BABA8B.8B2A.A.2A$9.A.AB11.2A.2BA5.15B14.2A4.6BA8B3.8BABA2.A$9.A
14.A.2BA.A5.13B15.A.A2.13B7.7BA2.A$8.2A15.A2.BA.A2.13B19.A2.13B11.B.
2B2A$26.A3.A.A.2A4.8B18.2A15B4.A4.A2.A.A$24.A.4A2.AB2A6.6B16.2A2.14B
3.3A4.4A3.A$23.A.A3.A.A2.B8.5B15.A2.4AB3.9B.A11.4A$23.A.A2.A2.2A.2A9.
B.B16.2A2.BAB4.9B.A8.2A$24.A3.2A2.A.A9.3B19.2A7.8B.2A8.A2.A$32.A.A9.B
2AB18.A8.7B14.2A$33.A11.2A21.A6.6B$67.2A6.5B$76.3B!

-- but that series doesn't happen to hit a prime until p1993.

However, there are dozens of possible H-to-G substitutions that can be tried in the syringe-plus-H-to-G in the southwest. Probably that single substitution location will produce competitive-sized guns for the four 8N+k relevant families, k = {1, 3, 5, 7}. We already have k=1 for p1929+8N. If not, we can swap out a semi-Snark (wherever there is one) and put in a semi-cenark, or try different H-to-2Gs in the southeast.

Then it's just a matter of trying all the different period multipliers: 4x, 5x, 6x, 8x, 9x, 10x and 12x are available, and each one will start a new family of gun families -- a new gun series for each H-to-G substitution that we find in the southwest for k=1, 3, 5, and 7.

The base period is 818, so unlike my Dvgrn Simplified Guns, the time in the main loop will always be an even number of ticks -- so the parity won't change when you go from 4x to 5x, or from 9x to 12x. Above 12x the period will be up into five digits, so that's as far as we'd have to look.

Sometimes adjusting one of these Jormungant Guns to hit a particular prime period will happen to make its bounding box a little bigger than a Dvgrn Simplified Gun for the same period. Sometimes it will be smaller. Probably somebody will come up with Alternative Even Simpler Gun templates that will regularly produce bounding boxes smaller than either of these -- e.g., maybe add an L112 to the syringe on the east side, and append various H-to-2Gs to that, and see if anything good shows up.

Really the only sane way to handle all these comparisons for the whole gun collection is to set up template guns along the lines of chris_c's "variable" collection, with information that predicts how the bounding box grows as the period increases. Then a script can check the predictions for all the template guns and choose the smallest bounding box. A lot of chris_c's code from ceebo/glider_guns could be borrowed for this purpose.

Otherwise you almost might as well stop as soon as you have a prime-period gun checked in for each period: we know we can make smaller guns for every one of those 1703+ periods, but we aren't going to know which template gun will make the smallest bounding box, without building maybe ten or twenty different options for each prime period and checking which bounding box actually comes out smallest.

[Jormungant]

Well well, I though this could only be use with period 1500+, but well... here is a p941 gun (prime):

Code: Select all

x = 150, y = 91, rule = LifeHistory
85.4B$84.4B$83.4B$82.4B$81.4B$80.4B$79.4B$41.2A35.4B$40.A.A34.4B$34.
2A4.A35.4B$32.A2.A2.2A.4A30.4B$32.2A.A.A.A.A2.A29.4B23.A11.2A$35.A.AB
ABAB30.4B23.A.A9.B2AB$35.A.AB2AB30.4B16.A3.2A2.A.A9.3B$36.AB.2B30.4B
16.A.A2.A2.2A.2A9.B.B$39.3B28.4B17.A.A3.A.A2.B8.5B$39.4B6.2A18.4B19.A
.4A2.AB2A6.6B$37.6B6.A18.4B22.A3.A.A.2A4.8B$37.6B3.BA.A17.4B22.A2.BA.
A2.13B$35.10B.B2A17.4B22.A.2BA.A5.13B$34.5B3A5B18.4B23.2A.2BA5.15B$
33.14B17.4B10.A17.3B4.15B$32.6BA2BA5B16.4B11.3A16.4B.17B$17.A13.4B2.
2B2A4B17.4B15.A8.29B$17.3A10.4B5.6B16.4B15.2A7.4BD11B2A13B$20.A8.4B4.
9B14.4B16.5B.B2.4B3D9B2A14B$19.2A7.4B5.2A4.4B12.4B19.6B.4BDBD20B3.B2A
$19.5B3.4B7.A5.4B10.7B.B.7B7.13BD19B4.A2.A$21.3B2.4B5.3A7.4B2.3B3.4B.
13B3.B.19B2.2B2.B3.6B5.2A.A$11.2A7.9B6.A10.30BD19B14.6B7.A$11.A8.8B8.
4A7.6BC21BD18B14.9B6.2A$8.2A.A.B3.10B13.A6.6B3C18B2D17B15.2A4.4B$8.A
2.3AB.2B2A7B9.3A.A4.8BCBC15B2A2B2D17B15.A5.4B$9.2A2.BA3B2A7B8.A2.A.2A
.12BC15B2A3BD9B.7B12.3A7.4B$11.4A12B8.2A5.2B2A13B2.2B3.11B2.6B4.3B.B
2A10.A10.4B$11.A.2B3.7B.B2A13.BABA14B7.10B3.4B9.BA.A21.4B$12.3AB2.7B.
BA.A12.BA2B.14B9.6B5.5B10.A22.4B$15.A3.5B5.A10.A3.A2.14B11.3B9.2A10.
2A22.4B$10.5A5.4B5.2A9.4A3.13B14.B9.A36.4B$10.A10.4B22.3B.9B14.2A9.3A
34.4B$12.A9.4B14.2A13.B.4B7.2A5.A11.A35.4B$11.2A10.4B13.2A12.3B.4B5.B
2AB3.A49.4B$24.4B25.B2AB2.4B.B3.3B3.2A49.4B$25.4B25.2A4.5B2.B.B56.4B$
26.4B31.4B.6B55.4B$27.4B31.10B8.2A46.4B10.2A$28.4B22.2A7.12B3.2B2AB6.
2A38.4B9.A$29.4B22.A8.12B2.4B7.A33.2A5.4B.2B7.A$30.4B21.A.AB6.19B2.BA
.A34.A5.7B6.2A$31.4B10.A10.2AB.3B2.20B.B2A35.A.AB.6B2A2B.BAB2.2A$32.
4B7.3A12.25BD3B38.2AB.5BA2BA3B4A2.A$33.4B5.A15.26BD2B40.8B2A5B2.A.2A$
34.4B4.2A15.23B3D2B40.14B2A.A.A$27.2A6.9B14.29B40.12B.B2A.A.A$28.A7.
6B14.21B2.9B39.11B3.B.BA.2A$28.A.2A5.6B3.B2.2B2.20B5.11B37.8B.B8.A$
29.A2.A4.19BD15B6.BAB.B3.4B35.9B8.A.A$30.2AB3.20BDBD4B.7B7.A.A.2A3.4B
33.10B8.2A$31.14B2A9B3D12B5.3A.ABA5.4B31.2D2B3.5B$32.13B2A11BD13B3.A
3.A4.A4.4B29.DBDB7.2A$33.29B2.2B2.4B4.A2.A.4A5.4B27.3BD8.A$33.17B.B.
2B12.B2A2B5.A.A.A9.4B25.4B10.3A$34.15B4.3B12.2A.B2A4.A3.A9.4B23.4B13.
A$34.15B5.A2B.2A11.BA.A4.4A10.4B21.4B$35.13B5.A.A2B.A14.A19.4B19.4B$
37.13B2.A.AB2.A15.2A3.2A14.4B10.A6.4B$36.8B4.2A.A.A3.A21.2A15.4B7.3A
5.4B$36.6B6.2ABA2.4A.A37.4B5.A7.6B2.4B$36.5B8.B2.A.A3.A.A37.4B4.2A5.
6B2.4B$36.B.B9.2A.2A2.A2.A.A38.2BA6B4.4B.2B$37.3B9.A.A2.2A3.A40.2B2A
2B5.4B2.2B$36.B2AB9.A.A48.B2A5B2.4B4.B3.4B$37.2A11.A47.15B$98.14B$98.
13B$96.2AB.10B$95.A.AB3.B2A5B$95.A6.B2A6B$94.2A6.4B2.4B$103.3B3.4B$
104.2B.BA.4B$103.B2ABA.A.4B$102.BABABA.A2.4B$100.A2.A.A.A.A.2A4B$100.
4A.2A2.A2.A.4B$104.A4.2A4.3B$102.A.A11.2B$102.2A13.B!

Extending the main loop increase the period by 16, and the secondary by 8, though there are non-trivial collisions/phase constrains that enable such a low period. Of course, one can change the track to induce different delays. For example here is a p997 gun (prime)

Code: Select all

x = 182, y = 123, rule = LifeHistory
108.4B$107.4B$106.4B$105.4B$104.4B$103.4B$102.4B$101.4B$100.4B$99.4B$
98.4B$97.4B$96.4B$95.4B$51.2A41.4B$50.A.A40.4B$44.2A4.A41.4B$42.A2.A
2.2A.4A36.4B$42.2A.A.A.A.A2.A35.4B$45.A.ABABAB36.4B$45.A.AB2AB36.4B$
46.AB.2B36.4B23.A11.2A$49.3B34.4B23.A.A9.B2AB$49.4B6.2A24.4B16.A3.2A
2.A.A9.3B$47.3B2AB6.A24.4B16.A.A2.A2.2A.2A9.B.B$47.2BA2BA3.BA.A23.4B
17.A.A3.A.A2.B8.5B$45.10B.B2A23.4B19.A.4A2.AB2A6.6B$44.5BA7B24.4B22.A
3.A.A.2A4.8B$43.5B2A7B23.4B22.A2.BA.A2.13B$42.8BA6B22.4B22.A.2BA.A5.
13B$27.A13.4B2.8B23.4B23.2A.2BA5.15B$27.3A10.4B5.6B22.4B10.A17.3B4.
15B$30.A8.4B4.9B20.4B11.3A16.4B.17B$29.2A7.4B5.2A4.4B18.4B15.A8.29B$
29.5B3.4B7.A5.4B16.4B15.2A7.4BD11B2A13B$31.3B2.4B5.3A7.4B14.4B16.5B.B
2.4B3D9B2A14B$21.2A7.9B6.A10.5B11.4B19.6B.4BDBD20B3.B2A$21.A8.8B19.4B
2.3B5.7B.B.7B7.13BD19B4.A2.A$18.2A.A.B3.10B21.4B.4B3.4B.13B3.B.19B2.
2B2.B3.6B5.2A.A$18.A2.3AB.2B2A7B22.30BD19B14.6B7.A$19.2A2.BA3B2A7B14.
2A7.6BC21BD18B14.9B6.2A$21.4A12B14.A.A6.6B3C18B2D17B15.2A4.4B$21.A.2B
3.7B.B2A14.A4.8BCBC15B2A2B2D17B15.A5.4B$22.3AB2.7B.BA.A13.2A.12BC15B
2A3BD9B.7B12.3A7.4B$25.A3.5B5.A15.2B2A13B2.2B3.11B2.6B4.3B.B2A10.A10.
4B$20.5A5.4B5.2A14.BABA14B7.10B3.4B9.BA.A21.4B$20.A10.4B20.BA2B.14B9.
6B5.5B10.A22.4B$22.A9.4B17.A3.A2.14B11.3B9.2A10.2A22.4B$21.2A10.4B16.
4A3.13B14.B9.A36.4B$34.4B22.3B.9B14.2A9.3A34.4B$35.4B14.2A13.B.4B7.2A
5.A11.A35.4B$36.4B13.2A12.3B.4B5.B2AB3.A49.4B$37.4B25.B2AB2.4B.B3.3B
3.2A49.4B$38.4B25.2A4.5B2.B.B56.4B$39.4B31.4B.6B55.4B$40.4B31.10B8.2A
46.4B$41.4B22.2A7.12B3.2B2AB6.2A38.4B$42.4B22.A8.12B2.4B7.A40.4B$43.
4B21.A.AB6.19B2.BA.A41.4B$44.4B10.A10.2AB.3B2.20B.B2A43.4B10.2A$45.4B
7.3A12.25BD3B46.4B9.A$46.4B5.A15.26BD2B40.2A5.4B.2B7.A$47.4B4.2A15.
23B3D2B41.A5.7B6.2A$40.2A6.9B14.29B41.A.AB.6B2A2B.BAB2.2A$41.A7.6B14.
21B2.9B41.2AB.5BA2BA3B4A2.A$41.A.2A5.6B3.B2.2B2.20B5.11B42.8B2A5B2.A.
2A$42.A2.A4.19BD15B6.BAB.B3.4B41.14B2A.A.A$43.2AB3.20BDBD4B.7B7.A.A.
2A3.4B40.12B.B2A.A.A$44.14B2A9B3D12B5.3A.ABA5.4B39.11B3.B.BA.2A$45.
13B2A11BD13B3.A3.A4.A4.4B37.8B.B8.A$46.29B2.2B2.4B4.A2.A.4A5.4B35.9B
8.A.A$46.17B.B.2B12.B2A2B5.A.A.A9.4B33.10B8.2A$47.15B4.3B12.2A.B2A4.A
3.A9.4B31.2D2B3.5B$47.15B5.A2B.2A11.BA.A4.4A10.4B29.DBDB7.2A$48.13B5.
A.A2B.A14.A19.4B27.3BD8.A$50.13B2.A.AB2.A15.2A3.2A14.4B25.4B10.3A$49.
8B4.2A.A.A3.A21.2A15.4B23.4B13.A$49.6B6.2ABA2.4A.A37.4B21.4B$49.5B8.B
2.A.A3.A.A37.4B19.4B$49.B.B9.2A.2A2.A2.A.A38.4B10.A6.4B$50.3B9.A.A2.
2A3.A40.4B7.3A5.4B$49.B2AB9.A.A49.2BAB5.A7.6B2.4B$50.2A11.A51.2B2A4.
2A5.6B2.4B$116.2A7B4.4B.2B$117.6B5.4B2.2B$117.8B2.4B4.B3.4B$115.15B$
115.14B$115.13B$113.2AB.10B$112.A.AB3.B2A5B$112.A6.B2A6B$111.2A6.4B2.
4B$120.3B3.4B$121.2B.BA.4B$120.B2ABA.A.4B$119.BABABA.A2.4B$117.A2.A.A
.A.A.2A4B$117.4A.2A2.A2.A.4B$121.A4.2A4.3B$119.A.A11.2B$119.2A13.B!

[googoIpIex]

Well well, I though this could only be use with period 1500+, but well... here is a p941 gun (prime):

Impressive once again!

[dvgrn]

Well well, I though this could only be use with period 1500+, but well... here is a p941 gun (prime)...
Extending the main loop increase the period by 16, and the secondary by 8, though there are non-trivial collisions/phase constrains that enable such a low period. Of course, one can change the track to induce different delays. For example here is a p997 gun (prime)...

Well, both of those gun periods are in the ceebo/glider_guns]ceebo/glider_guns Hall of Shame, but those two examples are quite a bit too big to set any records. The biggest sub-1000 gun has a bounding box less than 7700 cells, these days, and only a few of them are above 7500.

I'm not sure that these guns grow slowly enough to overtake the adjustable p853 gun, since that also grows much more slowly than (+1, +1) bounding box per +8 ticks:

Code: Select all

x = 121, y = 132, rule = LifeHistory
27.A55.2A$25.3A55.A.A$24.A60.A4.2A$24.2A38.2A15.4A.2A2.A2.A$20.6B37.A
.A15.A2.A.A.A.A.2A$7.A11.5B33.2A4.A19.BABABA.A$7.3A8.7B30.A2.A2.2A.4A
16.B2ABA.A$10.A6.9B29.2A.A.A.A.A2.A17.2B.BA$9.2A6.9B13.2D2.D5.D8.A.AB
ABAB18.3B7.A$9.5B2.13B9.D2.D.D2.D.2D8.A.AB2AB10.2A6.4B7.3A$11.18B.2B
6.D2.D.D2.D2.D9.AB.2B12.A6.B2A3B8.A$10.2A19B2A6.3D.4D2.D12.3B11.A.AB
3.B2A3B7.A.A$10.2A17B.B2A8.D4.D2.D12.4B6.2A3.2AB.10B5.A.AB$11.B.17B.B
9.D4.D2.D10.3B2AB6.A6.13B5.A3B$13.16B9.3D5.D.3D9.3B2AB3.BA.A6.14B6.4B
$14.14B30.10B.B2A7.15B5.6B$15.8B2.4B28.13B11.8B2.4B4.7B$16.7B3.4B26.
14B11.6B5.4B2.8B.4B.B$13.11B3.4B24.15B10.9B4.17B.B2A$12.12B4.4B22.4B
2.8B11.4B4.2A5.18B2A$3.2A7.12B5.4B20.4B5.6B10.4B5.A6.16B.2B$2.A2.A2.
2A2.11B7.4B18.4B4.9B8.4B7.3A3.16B$3.2A2.A.A2.8B.4B6.4B16.4B5.2A4.4B6.
4B10.A3.15B$5.2A.B3.7B4.2A7.4B14.4B7.A5.4B4.4B11.A.2AB.12B$5.A2.2B2.
7B4.A9.4B12.4B5.3A7.4B2.4B10.2A.A.AB2.11B$2.2A.A.BA2B.6B6.3A7.4B10.4B
6.A10.8B11.A2.A5.10B$2.A.2A.A.A8B8.A8.4B8.4B19.6B14.2A5.2B2A6B$6.A.A.
8B18.4B6.4B21.4B21.3B2A6B$3.2A2.A4.5B20.4B4.4B21.6B21.10B$.3A.2A4.6B
21.4B2.4B21.8B20.8B.B2A.A$A4.B6.6B21.8B21.4B2.4B18.7B3.B2AB3A$.3AB2AB
3.7B22.6B21.4B4.4B17.6B6.B4.A$3.A.2AB.8B24.4B21.4B6.4B17.6B4.2A.3A$7.
10B23.6B19.4B8.4B16.5B4.A2.2A$7.6B2A3B21.8B10.A6.4B10.4B14.8B.A.A$7.
6B2A2B5.2A14.4B2.4B7.3A5.4B12.4B4.A8.8BA.A.3A$7.10B5.A2.A11.4B4.4B5.A
7.4B14.4B3.3A6.6B.2BAB.A2.A$6.11B2.BA.A.2A10.4B6.4B4.2A5.4B16.4B5.A4.
7B2.2B2.A.A.A$6.12B.B2A.A11.4B8.9B4.4B18.4B3.2A4.7B3.B.2A2.A.A$5.15B
3.A10.4B10.6B5.4B20.4B2.4B.8B2.A.A2.A.A.A$4.16B3.3A7.4B11.8B2.4B22.4B
3.11B2.2A2.2A.2A$.2B.16B6.A5.4B10.15B24.4B.12B$2A18B5.2A4.4B11.14B26.
B3A12B$2AB.17B4.9B12.13B28.A13B10.A$.B.4B.8B2.4B5.6B11.2AB.10B30.A9B
11.3A$8.7B4.4B2.8B10.A.AB3.B2A3B31.12B9.A$9.6B5.15B8.A6.B2A3B30.16B6.
2A$11.4B6.14B7.2A6.4B25.A6.24B$13.3BA5.13B16.3B25.3A3.23B$14.BA.A5.
10B.B2A15.2B.BA25.A2.24B$15.A.A7.3B2AB3.BA.A13.B2ABA.A23.A.B.24B$16.A
8.3B2AB6.A12.BABABA.A23.2A27B$17.3A7.4B6.2A9.A2.A.A.A.A.2A18.2A2.A22B
.4B$19.A7.3B18.4A.2A2.A2.A17.A2.3A3B3.2B3.B7.2B3.4B$24.AB.2B23.A4.2A
20.A4.2B3.4B.3B5.BA2B3.4B$23.A.AB2AB20.A.A27.4A5.B2AB.B2AB4.A.A5.3BA$
23.A.ABABAB19.2A30.A7.2A3.2A6.A7.ABA$20.2A.A.A.A.A2.A51.A27.2A$20.A2.
A2.2A.4A50.2A28.B$22.2A4.A$28.A.A$29.2A9$27.A39.2A20.2A$25.3A38.A.A
20.A.A$24.A35.2A4.A24.A4.2A$24.2A32.A2.A2.2A.4A16.4A.2A2.A2.A$20.6B
32.2A.A.A.A.A2.A16.A2.A.A.A.A.2A$7.A11.5B37.A.ABABAB20.BABABA.A$7.3A
8.7B36.A.AB2AB22.B2ABA.A$10.A6.9B36.AB.2B24.2B.BA$9.2A6.9B14.2D3.2D2.
4D12.3B22.3B$9.5B2.13B10.D2.D.D2.D4.D12.4B6.2A4.2A6.4B8.A$11.18B.2B7.
D2.D.D2.D4.D10.3B2AB6.A6.A6.B2A3B6.3A$10.2A19B2A7.3D2.3D3.D11.3B2AB3.
BA.A6.A.AB3.B2A3B9.A$10.2A17B.B2A9.D4.D3.D9.10B.B2A8.2AB.10B6.A.A$11.
B.17B.B10.D4.D2.D9.13B12.13B5.A.AB$13.16B10.3D2.3D3.D8.14B12.14B5.A3B
$14.14B30.15B12.15B6.4B$15.8B2.4B28.4B2.8B16.8B2.4B5.6B$16.7B3.4B26.
4B5.6B16.6B5.4B4.7B$13.11B3.4B24.4B4.9B14.9B4.4B2.8B.4B.B$12.12B4.4B
22.4B5.2A4.4B12.4B4.2A5.17B.B2A$3.2A7.12B5.4B20.4B7.A5.4B10.4B5.A7.
18B2A$2.A2.A2.2A2.11B7.4B18.4B5.3A7.4B8.4B7.3A4.16B.2B$3.2A2.A.A2.8B.
4B6.4B16.4B6.A10.4B6.4B10.A4.16B$5.2A.B3.7B4.2A7.4B14.4B19.4B4.4B16.
15B$5.A2.2B2.7B4.A9.4B12.4B21.4B2.4B15.2AB.12B$2.2A.A.BA2B.6B6.3A7.4B
10.4B23.8B15.A.AB2.11B$2.A.2A.A.A8B8.A8.4B8.4B25.6B16.A5.10B$6.A.A.8B
18.4B6.4B27.4B16.2A5.2B2A6B$3.2A2.A4.5B20.4B4.4B27.6B21.3B2A6B$.3A.2A
4.6B21.4B2.4B27.8B21.10B$A4.B6.6B21.8B27.4B2.4B20.8B.B2A.A$.3AB2AB3.
7B22.6B27.4B4.4B18.7B3.B2AB3A$3.A.2AB.8B24.4B27.4B6.4B17.6B6.B4.A$7.
10B23.6B25.4B8.4B17.6B4.2A.3A$7.6B2A3B21.8B23.4B10.4B16.5B4.A2.2A$7.
6B2A2B5.2A14.4B2.4B21.4B12.4B14.8B.A.A$7.10B5.A2.A11.4B4.4B19.4B14.4B
4.A8.8BA.A.3A$6.11B2.BA.A.2A10.4B6.4B10.A6.4B16.4B3.3A6.6B.2BAB.A2.A$
6.12B.B2A.A11.4B8.4B7.3A5.4B18.4B5.A4.7B2.2B2.A.A.A$5.15B3.A10.4B10.
4B5.A7.4B20.4B3.2A4.7B3.B.2A2.A.A$4.16B3.3A7.4B12.4B4.2A5.4B22.4B2.4B
.8B2.A.A2.A.A.A$.2B.16B6.A5.4B14.9B4.4B24.4B3.11B2.2A2.2A.2A$2A18B5.
2A4.4B16.6B5.4B26.4B.12B$2AB.17B4.9B17.8B2.4B28.B3A12B$.B.4B.8B2.4B5.
6B16.15B30.A13B10.A$8.7B4.4B2.8B16.14B32.A9B11.3A$9.6B5.15B14.13B32.
12B9.A$11.4B6.14B12.2AB.10B32.16B6.2A$13.3BA5.13B11.A.AB3.B2A3B27.A6.
24B$14.BA.A5.10B.B2A9.A6.B2A3B27.3A3.23B$15.A.A7.3B2AB3.BA.A7.2A6.4B
32.A2.24B$16.A8.3B2AB6.A16.3B31.A.B.24B$17.3A7.4B6.2A16.2B.BA28.2A27B
$19.A7.3B24.B2ABA.A25.2A2.A22B.4B$24.AB.2B24.BABABA.A24.A2.3A3B3.2B3.
B7.2B3.4B$23.A.AB2AB21.A2.A.A.A.A.2A22.A4.2B3.4B.3B5.BA2B3.4B$23.A.AB
ABAB20.4A.2A2.A2.A23.4A5.B2AB.B2AB4.A.A5.3BA$20.2A.A.A.A.A2.A22.A4.2A
27.A7.2A3.2A6.A7.ABA$20.A2.A2.2A.4A20.A.A35.A27.2A$22.2A4.A24.2A35.2A
28.B$28.A.A$29.2A!

It would be interesting to figure out where the crossover point is exactly, but it looks like these multi-path guns will really start earning their keep better with higher multipliers and single signals.

I tried adding multiple signals to one of my even-period guns, a little farther up the thread, and managed to cut the period in half and make an odd-period gun -- but things got complicated very quickly. Unless this thread really takes off as a source of new optimization puzzles, I think it might be simpler to stick with single-signal resettable loops, where you only need fairly obvious simple adjustments to add +8N, +16N, +24N or whatever, and there are no weird signal-interference problems with crashing gliders at some periods.

EDIT: Well, I ran my builder script against chris_c's README for 1025-5000, but as expected it just went ahead and built some really silly-looking guns. Here's the report:

Code: Select all

Done.  Errors:

bad size 1031 (8064, 'p00863_21'): really 10584
bad size 1039 (8255, 'p00863_22'): really 10795
bad size 1063 (8580, 'p00863_25'): really 11440
bad size 1087 (8911, 'p00863_28'): really 12103
bad size 1103 (9045, 'p00863_30'): really 12555
bad size 1151 (9729, 'p00863_36'): really 13959
bad size 1163 (9373, 'p00827_42'): really 13888
bad size 1171 (9568, 'p00827_43'): really 14125
bad size 1187 (9765, 'p00827_45'): really 14605
bad size 1223 (10800, 'p00863_45'): really 16200
bad size 1231 (11023, 'p00863_46'): really 16459
bad size 1259 (10573, 'p00827_54'): really 16864
bad size 1283 (10989, 'p00827_57'): really 17653
bad size 1291 (10989, 'p00827_58'): really 17920
bad size 1307 (11200, 'p00827_60'): really 18460
bad size 1319 (12312, 'p00863_57'): really 19440
bad size 1367 (13104, 'p00863_63'): really 21168
bad size 1427 (12960, 'p00827_75'): really 22765
bad size 1439 (14337, 'p00863_72'): really 23895
bad size 1451 (13189, 'p00827_78'): really 23680
bad size 1459 (13420, 'p00827_79'): really 23989
bad size 1483 (13653, 'p00827_82'): really 24928
bad size 1487 (15189, 'p00863_78'): really 25803
bad size 1499 (13888, 'p00827_84'): really 25564
bad size 1511 (15624, 'p00863_81'): really 26784
bad size 1523 (14364, 'p00827_87'): really 26533
bad size 1531 (14364, 'p00827_88'): really 26860
bad size 1559 (16512, 'p00863_87'): really 28800
bad size 1571 (15093, 'p00827_93'): really 28525
bad size 1579 (15093, 'p00827_94'): really 28864
bad size 1583 (16965, 'p00863_90'): really 29835
bad size 1607 (17424, 'p00863_93'): really 30888
bad size 1619 (15840, 'p00827_99'): really 30589
bad size 1627 (15840, 'p00827_100'): really 30940
bad size 1667 (16605, 'p00827_105'): really 32725
bad size 1699 (17125, 'p00827_109'): really 34189
bad size 1723 (17388, 'p00827_112'): really 35308
bad size 1747 (17920, 'p00827_115'): really 36445
bad size 1787 (18460, 'p00827_120'): really 38380
bad size 1811 (19008, 'p00827_123'): really 39565
bad size 1867 (19845, 'p00827_130'): really 42400
bad size 1907 (20700, 'p00827_135'): really 44485
bad size 1931 (20989, 'p00827_138'): really 45760
bad size 1979 (21868, 'p00827_144'): really 48364
bad size 1987 (22165, 'p00827_145'): really 48805
bad size 2003 (22464, 'p00827_147'): really 49693
bad size 2011 (22464, 'p00827_148'): really 50140
bad size 2027 (22765, 'p00827_150'): really 51040
bad size 2083 (23989, 'p00827_157'): really 54253
bad size 2099 (24300, 'p00827_159'): really 55189
bad size 2131 (24928, 'p00827_163'): really 57085
bad size 2179 (25885, 'p00827_169'): really 59989
bad size 2203 (26208, 'p00827_172'): really 61468
bad size 2243 (27189, 'p00827_177'): really 63973
bad size 2251 (27189, 'p00827_178'): really 64480
bad size 2267 (27520, 'p00827_180'): really 65500
bad size 2339 (29205, 'p00827_189'): really 70189
bad size 2347 (29205, 'p00827_190'): really 70720
bad size 2371 (29893, 'p00827_193'): really 72325
bad size 2411 (30589, 'p00827_198'): really 75040
bad size 2459 (31648, 'p00827_204'): really 78364
bad size 2467 (32005, 'p00827_205'): really 78925
bad size 2531 (33453, 'p00827_213'): really 83485
bad size 2539 (33453, 'p00827_214'): really 84064
bad size 2579 (34560, 'p00827_219'): really 86989
bad size 2659 (36445, 'p00827_229'): really 92989
bad size 2683 (36828, 'p00827_232'): really 94828
bad size 2699 (37213, 'p00827_234'): really 96064
bad size 2707 (37600, 'p00827_235'): really 96685
bad size 2731 (37989, 'p00827_238'): really 98560
bad size 2803 (39964, 'p00827_247'): really 104293
bad size 2819 (40365, 'p00827_249'): really 105589
bad size 2843 (40768, 'p00827_252'): really 107548
bad size 2851 (41173, 'p00827_253'): really 108205
bad size 2939 (43228, 'p00827_264'): really 115564
bad size 2963 (44064, 'p00827_267'): really 117613
bad size 2971 (44064, 'p00827_268'): really 118300
bad size 3011 (45333, 'p00827_273'): really 121765
bad size 3019 (45333, 'p00827_274'): really 122464
bad size 3067 (46620, 'p00827_280'): really 126700
bad size 3083 (47053, 'p00827_282'): really 128128
bad size 3163 (49248, 'p00827_292'): really 135388
bad size 3187 (50140, 'p00827_295'): really 137605
bad size 3203 (50589, 'p00827_297'): really 139093
bad size 3251 (51948, 'p00827_303'): really 143605
bad size 3259 (51948, 'p00827_304'): really 144364
bad size 3299 (53325, 'p00827_309'): really 148189
bad size 3307 (53325, 'p00827_310'): really 148960
bad size 3323 (53788, 'p00827_312'): really 150508
bad size 3331 (54253, 'p00827_313'): really 151285
bad size 3347 (54720, 'p00827_315'): really 152845
bad size 3371 (55189, 'p00827_318'): really 155200
bad size 3467 (58045, 'p00827_330'): really 164800
bad size 3491 (59013, 'p00827_333'): really 167245
bad size 3499 (59013, 'p00827_334'): really 168064
bad size 3539 (60480, 'p00827_339'): really 172189
bad size 3547 (60480, 'p00827_340'): really 173020
bad size 3571 (61468, 'p00827_343'): really 175525
bad size 3643 (63468, 'p00827_352'): really 183148
bad size 3659 (63973, 'p00827_354'): really 184864
bad size 3691 (64989, 'p00827_358'): really 188320
bad size 3739 (66528, 'p00827_364'): really 193564
bad size 3779 (68085, 'p00827_369'): really 197989
bad size 3803 (68608, 'p00827_372'): really 200668
bad size 3851 (70189, 'p00827_378'): really 206080
bad size 3907 (72325, 'p00827_385'): really 212485
bad size 3923 (72864, 'p00827_387'): really 214333
bad size 3931 (72864, 'p00827_388'): really 215260
bad size 3947 (73405, 'p00827_390'): really 217120
bad size 4003 (75589, 'p00827_397'): really 223693
bad size 4019 (76140, 'p00827_399'): really 225589
bad size 4027 (76140, 'p00827_400'): really 226540
bad size 4051 (77248, 'p00827_403'): really 229405
bad size 4091 (78364, 'p00827_408'): really 234220
bad size 4099 (78925, 'p00827_409'): really 235189
bad size 4139 (80053, 'p00827_414'): really 240064
bad size 4211 (82908, 'p00827_423'): really 248965
bad size 4219 (82908, 'p00827_424'): really 249964
bad size 4243 (84064, 'p00827_427'): really 252973
bad size 4259 (84645, 'p00827_429'): really 254989
bad size 4283 (85228, 'p00827_432'): really 258028
bad size 4339 (87580, 'p00827_439'): really 265189
bad size 4363 (88173, 'p00827_442'): really 268288
bad size 4451 (91773, 'p00827_453'): really 279805
bad size 4483 (92989, 'p00827_457'): really 284053
bad size 4507 (93600, 'p00827_460'): really 287260
bad size 4523 (94213, 'p00827_462'): really 289408
bad size 4547 (95445, 'p00827_465'): really 292645
bad size 4603 (97308, 'p00827_472'): really 300268
bad size 4643 (99189, 'p00827_477'): really 305773
bad size 4651 (99189, 'p00827_478'): really 306880
bad size 4691 (101088, 'p00827_483'): really 312445
bad size 4723 (102364, 'p00827_487'): really 316933
bad size 4787 (104940, 'p00827_495'): really 326005
bad size 4931 (110853, 'p00827_513'): really 346885
bad size 4987 (112860, 'p00827_520'): really 355180
Guns built=136, fixed=0, special=0, from var folder=0

Seems like the script decided to declare a partial boycott partway through, and after period 1619 it refused to build anything except with the p00827 template. No idea why -- I'll sort it out tomorrow. Meanwhile, I suspect that the smaller number on the left in parentheses is the correct minimum size for each of the prime guns, using these templates... somewhere fairly early on, it will work better to switch to different templates!

[testitemqlstudop]

Running dvgrn's script for the first time!

p1021:

Code: Select all

x = 124, y = 63, rule = LifeHistory
68.2A$27.A39.A.A21.2A$25.3A33.2A4.A23.A.A$24.A34.A2.A2.2A.4A21.A4.2A$
24.2A33.2A.A.A.A.A2.A17.4A.2A2.A2.A$20.6B36.A.ABABAB19.A2.A.A.A.A.2A$
7.A11.5B38.A.AB2AB22.BABABA.A$7.3A8.7B38.AB.2B24.B2ABA.A$10.A6.9B40.
3B24.2B.BA$9.2A6.9B40.4B6.2A14.3B$9.5B2.13B35.3B2AB6.A6.2A6.4B$11.18B
.2B32.3B2AB3.BA.A7.A6.B2A3B7.A$10.2A19B2A29.10B.B2A8.A.AB3.B2A3B7.3A$
10.2A17B.B2A28.13B11.2AB.10B8.A$11.B.17B.B28.14B13.13B6.A.A$13.16B30.
15B13.14B5.A.AB$14.14B30.4B2.8B15.15B5.A3B$15.8B2.4B28.4B5.6B17.8B2.
4B6.4B$16.7B3.4B26.4B4.9B16.6B5.4B5.6B$13.11B3.4B24.4B5.2A4.4B14.9B4.
4B4.7B$12.12B4.4B22.4B7.A5.4B12.4B4.2A5.4B2.8B.4B.B$3.2A7.12B5.4B20.
4B5.3A7.4B10.4B5.A7.17B.B2A$2.A2.A2.2A2.11B7.4B18.4B6.A10.4B8.4B7.3A
5.18B2A$3.2A2.A.A2.8B.4B6.4B16.4B19.4B6.4B10.A5.16B.2B$5.2A.B3.7B4.2A
7.4B14.4B21.4B4.4B17.16B$5.A2.2B2.7B4.A9.4B12.4B23.4B2.4B18.15B$2.2A.
A.BA2B.6B6.3A7.4B10.4B25.8B17.2AB.12B$2.A.2A.A.A8B8.A8.4B8.4B27.6B17.
A.AB2.11B$6.A.A.8B18.4B6.4B29.4B18.A5.10B$3.2A2.A4.5B20.4B4.4B29.6B
16.2A5.2B2A6B$.3A.2A4.6B21.4B2.4B29.8B21.3B2A6B$A4.B6.6B21.8B29.4B2.
4B21.10B$.3AB2AB3.7B22.6B29.4B4.4B20.8B.B2A.A$3.A.2AB.8B24.4B29.4B6.
4B18.7B3.B2AB3A$7.10B23.6B27.4B8.4B17.6B6.B4.A$7.6B2A3B21.8B25.4B10.
4B17.6B4.2A.3A$7.6B2A2B5.2A14.4B2.4B23.4B12.4B16.5B4.A2.2A$7.10B5.A2.
A11.4B4.4B21.4B14.4B14.8B.A.A$6.11B2.BA.A.2A10.4B6.4B19.4B16.4B4.A8.
8BA.A.3A$6.12B.B2A.A11.4B8.4B10.A6.4B18.4B3.3A6.6B.2BAB.A2.A$5.15B3.A
10.4B10.4B7.3A5.4B20.4B5.A4.7B2.2B2.A.A.A$4.16B3.3A7.4B12.4B5.A7.4B
22.4B3.2A4.7B3.B.2A2.A.A$.2B.16B6.A5.4B14.4B4.2A5.4B24.4B2.4B.8B2.A.A
2.A.A.A$2A18B5.2A4.4B16.9B4.4B26.4B3.11B2.2A2.2A.2A$2AB.17B4.9B18.6B
5.4B28.4B.12B$.B.4B.8B2.4B5.6B19.8B2.4B30.B3A12B$8.7B4.4B2.8B17.15B
32.A13B10.A$9.6B5.15B15.14B34.A9B11.3A$11.4B6.14B15.13B34.12B9.A$13.
3BA5.13B13.2AB.10B34.16B6.2A$14.BA.A5.10B.B2A10.A.AB3.B2A3B29.A6.24B$
15.A.A7.3B2AB3.BA.A9.A6.B2A3B29.3A3.23B$16.A8.3B2AB6.A8.2A6.4B34.A2.
24B$17.3A7.4B6.2A16.3B33.A.B.24B$19.A7.3B26.2B.BA30.2A27B$24.AB.2B26.
B2ABA.A27.2A2.A22B.4B$23.A.AB2AB24.BABABA.A26.A2.3A3B3.2B3.B7.2B3.4B$
23.A.ABABAB21.A2.A.A.A.A.2A24.A4.2B3.4B.3B5.BA2B3.4B$20.2A.A.A.A.A2.A
19.4A.2A2.A2.A25.4A5.B2AB.B2AB4.A.A5.3BA$20.A2.A2.2A.4A23.A4.2A29.A7.
2A3.2A6.A7.ABA$22.2A4.A25.A.A37.A27.2A$28.A.A23.2A37.2A28.B$29.2A!

Almost all prime periods are of this format.

[dvgrn]

Running dvgrn's script for the first time!

Oh, good. Was this by downloading the ZIP file from GitHub? Any difficulties to report?

p1021... Almost all prime periods are of this format.

Yeah, it looks like you have to go up to almost 3000 before the first universal-script gun beats a variable-period gun from the current p14-p1024 collection. There's a lonely universal-script winner at 2957, and then no more until 3557 where there's a definite shift.

Above 3557 the universal script wins most of the time, and by 4177 it's basically all of the time, with the exception of one lonely variable-gun winner at 4723.

NOTE: The variable-gun "winners" unfortunately are only predicted winners. When the gun-builder script creates an example, it's a working gun, but it just gives the simplest possible adjustment of the template gun. There's usually a way to fold the glider path down into a much smaller space, and that's what chris_c's bounding-box prediction is assuming. Sometimes there will probably be a way of saving even more space by adding more Snarks -- chris_c's models don't take that into account. Each such addition would be a new gun family.

Code: Select all

Prime	Universal gun	Variable gun 	Which one 
period	 bounding box	bounding box	 is smaller?
1709	39917	19110	variable gun
1721	40734	18837	variable gun
1723	41496	17388	variable gun
1733	41132	19596	variable gun
1741	41541	19902	variable gun
1747	42735	17920	variable gun
1753	42370	19623	variable gun
1759	43650	20382	variable gun
1777	43618	20116	variable gun
1783	44916	20880	variable gun
1787	44840	18460	variable gun
1789	44037	20900	variable gun
1801	44884	20615	variable gun
1811	46127	19008	variable gun
1823	47066	21805	variable gun
1831	47502	21894	variable gun
1847	48380	22320	variable gun
1861	47916	22442	variable gun
1867	49200	19845	variable gun
1871	49712	22841	variable gun
1873	48790	22148	variable gun
1877	48800	22638	variable gun
1879	50160	22932	variable gun
1889	49680	22344	variable gun
1901	50141	23166	variable gun
1907	51455	20700	variable gun
1913	51030	22869	variable gun
1931	52832	20989	variable gun
1933	51957	24038	variable gun
1949	52877	24240	variable gun
1951	54282	24534	variable gun
1973	54272	24786	variable gun
1979	55640	21868	variable gun
1987	56115	22165	variable gun
1993	55660	24823	variable gun
1997	55685	25338	variable gun
1999	57120	25632	variable gun
2003	57071	22464	variable gun
2011	57552	22464	variable gun
2017	57088	25376	variable gun
2027	58520	22765	variable gun
2029	57597	26250	variable gun
2039	59540	26656	variable gun
2053	59052	26818	variable gun
2063	61016	27225	variable gun
2069	60032	27030	variable gun
2081	60984	26712	variable gun
2083	61971	23989	variable gun
2087	62510	27800	variable gun
2089	61480	27071	variable gun
2099	62975	24300	variable gun
2111	64022	28381	variable gun
2113	62980	27648	variable gun
2129	63990	27864	variable gun
2131	65007	24928	variable gun
2137	64498	28231	variable gun
2141	64541	28776	variable gun
2143	66066	29070	variable gun
2153	65520	28449	variable gun
2161	66034	28820	variable gun
2179	68115	25885	variable gun
2203	69696	26208	variable gun
2207	70250	30765	variable gun
2213	69212	30576	variable gun
2221	69741	30962	variable gun
2237	70805	31188	variable gun
2239	72390	31482	variable gun
2243	72371	27189	variable gun
2251	72912	27189	variable gun
2267	74000	27520	variable gun
2269	72957	32200	variable gun
2273	73440	31464	variable gun
2281	73984	31855	variable gun
2287	75660	32724	variable gun
2293	74592	32828	variable gun
2297	75078	32085	variable gun
2309	75692	33060	variable gun
2311	77322	33354	variable gun
2333	50940	33696	variable gun
2339	52234	29205	variable gun
2341	51404	34102	variable gun
2347	52704	29205	variable gun
2351	53671	34521	variable gun
2357	52338	34338	variable gun
2371	54126	29893	variable gun
2377	54053	34391	variable gun
2381	53754	34986	variable gun
2383	55575	35280	variable gun
2389	54230	35400	variable gun
2393	55005	34629	variable gun
2399	56539	35821	variable gun
2411	56536	30589	variable gun
2417	56448	35280	variable gun
2423	58000	36480	variable gun
2437	57128	36722	variable gun
2441	57909	35937	variable gun
2447	59479	37145	variable gun
2459	59494	31648	variable gun
2467	59994	32005	variable gun
2473	59885	37023	variable gun
2477	59598	37638	variable gun
2503	63000	38610	variable gun
2521	62909	38375	variable gun
2531	64066	33453	variable gun
2539	64584	33453	variable gun
2543	65575	39865	variable gun
2549	64170	39690	variable gun
2551	66096	39984	variable gun
2557	64688	40132	variable gun
2579	67204	34560	variable gun
2591	68731	41261	variable gun
2593	67580	40448	variable gun
2609	68640	40704	variable gun
2617	69173	41151	variable gun
2621	68904	41796	variable gun
2633	70245	41409	variable gun
2647	72504	42804	variable gun
2657	71868	42120	variable gun
2659	72594	36445	variable gun
2663	73600	43400	variable gun
2671	74151	43524	variable gun
2677	72698	43692	variable gun
2683	74250	36828	variable gun
2687	75259	44125	variable gun
2689	74060	43296	variable gun
2693	73800	43956	variable gun
2699	75364	37213	variable gun
2707	75924	37600	variable gun
2711	76936	44856	variable gun
2713	75725	44023	variable gun
2719	77499	44982	variable gun
2729	76845	44289	variable gun
2731	77616	37989	variable gun
2741	77154	45426	variable gun
2749	77720	45900	variable gun
2753	78540	45024	variable gun
2767	80919	46464	variable gun
2777	80253	45765	variable gun
2789	80580	46920	variable gun
2791	82656	47214	variable gun
2797	81158	47402	variable gun
2801	81984	46512	variable gun
2803	82800	39964	variable gun
2819	83974	40365	variable gun
2833	84320	47748	variable gun
2837	84078	48438	variable gun
2843	85750	40768	variable gun
2851	86346	41173	variable gun
2857	86093	48511	variable gun
2861	85854	49206	variable gun
2879	89179	50141	variable gun
2887	89784	50274	variable gun
2897	89088	49560	variable gun
2903	91000	50920	variable gun
2909	89460	50760	variable gun
2917	90068	51262	variable gun
2927	92839	51705	variable gun
2939	51300	43228	variable gun
2953	51708	51623	variable gun
2957	51404	52338	universal gun
2963	52704	44064	variable gun
2969	52640	51909	variable gun
2971	53176	44064	variable gun
2999	55575	54096	variable gun
3001	54528	53215	variable gun
3011	55566	45333	variable gun
3019	56050	45333	variable gun
3023	57024	54905	variable gun
3037	56154	55272	variable gun
3041	56933	54312	variable gun
3049	57420	54831	variable gun
3061	57618	56092	variable gun
3067	58996	46620	variable gun
3079	60475	56682	variable gun
3083	59994	47053	variable gun
3089	59885	55944	variable gun
3109	60600	57750	variable gun
3119	63000	58201	variable gun
3121	61893	57300	variable gun
3137	62909	57600	variable gun
3163	65104	49248	variable gun
3167	66096	59885	variable gun
3169	64965	58976	variable gun
3181	65208	60282	variable gun
3187	66676	50140	variable gun
3191	67671	60736	variable gun
3203	67734	50589	variable gun
3209	67580	60129	variable gun
3217	68109	60676	variable gun
3221	67838	61446	variable gun
3229	68370	62000	variable gun
3251	70956	51948	variable gun
3253	69978	62868	variable gun
3257	70784	61845	variable gun
3259	71500	51948	variable gun
3271	73051	63474	variable gun
3299	74250	53325	variable gun
3301	73248	64622	variable gun
3307	74806	53325	variable gun
3313	74613	64148	variable gun
3319	76375	65232	variable gun
3323	75924	53788	variable gun
3329	75725	64464	variable gun
3331	76486	54253	variable gun
3343	78064	66120	variable gun
3347	77616	54720	variable gun
3359	79200	66861	variable gun
3361	77973	65920	variable gun
3371	79326	55189	variable gun
3373	78288	67298	variable gun
3389	79430	67620	variable gun
3391	81496	67914	variable gun
3407	82656	68665	variable gun
3413	81158	68526	variable gun
3433	83148	68623	variable gun
3449	84320	68949	variable gun
3457	84909	69536	variable gun
3461	84668	70356	variable gun
3463	86779	70650	variable gun
3467	86346	58045	variable gun
3469	85260	70950	variable gun
3491	88146	59013	variable gun
3499	88750	59013	variable gun
3511	90391	72504	variable gun
3517	88854	72812	variable gun
3527	91611	73280	variable gun
3529	90300	72311	variable gun
3533	90068	73146	variable gun
3539	91800	60480	variable gun
3541	90678	73752	variable gun
3547	92416	60480	variable gun
3557	61039	74088	universal gun
3559	63356	74382	universal gun
3571	62972	61468	variable gun
3581	62608	75036	universal gun
3583	64940	75330	universal gun
3593	64260	74529	universal gun
3607	66542	76284	universal gun
3613	64728	76608	universal gun
3617	65856	75480	universal gun
3623	67620	77080	universal gun
3631	68162	77244	universal gun
3637	66339	77572	universal gun
3643	67805	63468	variable gun
3659	68901	63973	variable gun
3671	70902	79016	universal gun
3673	69650	78023	universal gun
3677	69064	78888	universal gun
3691	71117	64989	variable gun
3697	71306	78996	universal gun
3701	70723	79866	universal gun
3709	71280	80500	universal gun
3719	74256	80976	universal gun
3727	74822	81144	universal gun
3733	72963	81488	universal gun
3739	74501	66528	variable gun
3761	75810	81312	universal gun
3767	77682	82960	universal gun
3769	76382	81951	universal gun
3779	77376	68085	variable gun
3793	78110	82948	universal gun
3797	77539	83838	universal gun
3803	79125	68608	variable gun
3821	79288	84846	universal gun
3823	81770	85140	universal gun
3833	81030	84309	universal gun
3847	83552	86154	universal gun
3851	82677	70189	variable gun
3853	81648	86518	universal gun
3863	84750	87000	universal gun
3877	83439	87542	universal gun
3881	84600	86337	universal gun
3889	85202	86996	universal gun
3907	86912	72325	variable gun
3911	88392	89056	universal gun
3917	86464	88938	universal gun
3919	89006	89232	universal gun
3923	88140	72864	variable gun
3929	88242	88389	universal gun
3931	88757	72864	variable gun
3943	90860	90270	variable gun
3947	89997	73405	variable gun
3967	92732	91314	variable gun
3989	92035	92070	universal gun
4001	93840	91512	variable gun
4003	94400	75589	variable gun
4007	95892	93240	variable gun
4013	93928	93126	variable gun
4019	95676	76140	variable gun
4021	94563	93812	variable gun
4027	96317	76140	variable gun
4049	97662	93624	variable gun
4051	98252	77248	variable gun
4057	98306	94311	variable gun
4073	99600	94689	variable gun
4079	101706	96441	variable gun
4091	101517	78364	variable gun
4093	100368	97028	variable gun
4099	102176	78925	variable gun
4111	104342	97704	variable gun
4127	105672	98605	variable gun
4129	104192	97536	variable gun
4133	103663	98496	variable gun
4139	105501	80053	variable gun
4153	106190	98623	variable gun
4157	105664	99588	variable gun
4159	108356	99882	variable gun
4177	62160	99716	universal gun
4201	63732	100815	universal gun
4211	64565	82908	universal gun
4217	64790	101205	universal gun
4219	65100	82908	universal gun
4229	64728	102900	universal gun
4231	67080	103194	universal gun
4241	66392	102312	universal gun
4243	66717	84064	universal gun
4253	66339	104016	universal gun
4259	67805	84645	universal gun
4261	66880	104742	universal gun
4271	69800	105241	universal gun
4273	68556	104148	universal gun
4283	69452	85228	universal gun
4289	69650	104544	universal gun
4297	70200	105271	universal gun
4327	73692	107694	universal gun
4337	72980	106800	universal gun
4339	73365	87580	universal gun
4349	72963	108540	universal gun
4357	73528	109282	universal gun
4363	75072	88173	universal gun
4373	74664	109686	universal gun
4391	78260	110936	universal gun
4397	76383	110838	universal gun
4409	78110	110229	universal gun
4421	78120	111996	universal gun
4423	80592	112290	universal gun
4441	80442	112135	universal gun
4447	82362	113454	universal gun
4451	81485	91773	universal gun
4457	81620	112545	universal gun
4463	83552	114425	universal gun
4481	83402	113712	universal gun
4483	83877	92989	universal gun
4493	83439	115506	universal gun
4507	85692	93600	universal gun
4513	85806	115648	universal gun
4517	85248	116688	universal gun
4519	87780	116982	universal gun
4523	86912	94213	universal gun
4547	88757	95445	universal gun
4549	87688	118650	universal gun
4561	89472	118020	universal gun
4567	91482	119364	universal gun
4583	92732	120360	universal gun
4591	93360	120564	universal gun
4597	91408	121052	universal gun
4603	93132	97308	universal gun
4621	93295	122262	universal gun
4637	94563	122688	universal gun
4639	97170	122982	universal gun
4643	96317	99189	universal gun
4649	96380	122049	universal gun
4651	96960	99189	universal gun
4657	97020	122836	universal gun
4663	99102	124200	universal gun
4673	98306	123264	universal gun
4679	100400	125216	universal gun
4691	100205	101088	universal gun
4703	102362	126445	universal gun
4721	102212	125712	universal gun
4723	102837	102364	variable gun
4729	102870	126511	universal gun
4733	102339	127596	universal gun
4751	106340	128921	universal gun
4759	107010	129132	universal gun
4783	62832	130380	universal gun
4787	61920	104940	universal gun
4789	61039	130900	universal gun
4793	62160	129429	universal gun
4799	63882	131421	universal gun
4801	62682	130240	universal gun
4813	62608	132158	universal gun
4817	63732	130680	universal gun
4831	66006	132894	universal gun
4861	65800	134692	universal gun
4871	68706	135216	universal gun
4877	66880	135138	universal gun
4889	68556	134469	universal gun
4903	70902	136710	universal gun
4909	69064	137250	universal gun
4919	72012	137776	universal gun
4931	71676	110853	universal gun
4933	70723	138538	universal gun
4937	71862	137025	universal gun
4943	73692	139065	universal gun
4951	74256	139284	universal gun
4957	72400	139832	universal gun
4967	75390	140360	universal gun
4969	74106	139151	universal gun
4973	73528	140286	universal gun
4987	75645	112860	universal gun
4993	75810	140448	universal gun
4999	77682	141882	universal gun

-- Not that either of these options will really win for very long. Once all the different period multipliers are tried, Jormungant guns modified to make 8N+k guns for k=3, 5, and 7, along with the current Jormungant gun with k=1, will beat all but a scattering of these by a wide margin.

[dvgrn]

The smallest period gun using this unit is probably the following, which is p1592, and using SE5T23 to make a oscillator we get p1633...

I don't think much of this "here's an odd period but it's an oscillator" business... Here's one possible system for changing the parity reliably but retaining the NW31 and its nice edge-shooting output glider.

-- Okay, here's another option that takes advantage of the huge empty space in the southwest for this Dvgrn-Simplified design. We can throw anything we want into that space without increasing the bounding box much, if at all -- the space gets bigger to the west as the trombone slides are adjusted outward, anyway.

Here's the above-mentioned p1592 turned into a p1849+8N, with the first two prime periods being 1873 and 1889.
The 1873 and 1889 bounding boxes are 13923 and 14160 cells, respectively, which compares very favorably with the equivalent universal guns (48790 and 49680) and the variable guns from chris_c's collection (22148 and 22344). And the additional circuit gives us one more reflector, which pushes the upper end of the range of available periods to something above 42,500 (if three quadri-Snarks are used).

Code: Select all

x = 125, y = 368, rule = LifeHistory
58.A11.2A29.D3.2D2.D5.2D$57.A.A9.B2AB27.2D2.D2.D.D2.D.D2.D$49.A3.2A2.
A.A9.3B29.D2.D2.D.D2.D.D2.D$35.A12.A.A2.A2.2A.2A9.B.B28.D3.2D2.4D2.3D
$35.3A10.A.A3.A.A2.B8.5B28.D2.D2.D4.D4.D$38.A10.A.4A2.AB2A6.A2BA2B28.
D2.D2.D4.D4.D$11.2A24.2A12.A3.A.A.2A4.A3B3AB27.3D2.2D5.D.3D$12.A24.4B
9.A2.BA.A2.10B2AB$6.2A2.A4.A23.3B7.A.2BA.A5.6BA2B2A2B$6.A2.A.5A22.4B
7.2A.2BA5.3BA6B3A2B$3.2A.A.2A.B16.2A8.5B10.3B4.4B3AB2A2BA2B$3.A2.A2.B
3AB4A10.A8.6B11.2B.B.6BAB2A2BA4B$5.A.2A3BA.A2.A7.BA.A8.8B2.19BA2BABA
2BAB$4.2A.A2.7B4.3B.B2A8.14BD17B4A3B2A$7.A.7B3.7B11.13B3D16BA4BABAB2.
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16.4B41.12B15.4B$.17B18.4B40.12B16.4B$6.11B20.4B30.2A7.12B17.4B$7.6B
6.A18.4B28.A2.A2.2A2.9B2CB18.4B$7.6B6.3A17.4B28.2A2.A.A2.B3D5B2C3B17.
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18.4B$5.2A4B.4B5.A.AB17.4B24.2A.A.BA2B.15B19.3BA$.2A2.BA2B4.4B5.A3B
17.4B23.A.2A.A.A16B21.ABA$.A2.A.A.A5.4B6.4B16.4B26.A.A.8B.8B21.2A$3.
2A.A.3A4.4B5.6B15.4B22.2A2.A4.5B4.7B21.B$5.A.A3.A4.4B4.7B15.4B19.3A.
2A4.6B4.6B2A$5.A.A2.2A5.4B2.8B.4B.B9.4B17.A4.B6.6B4.2B2.BABA$6.A11.
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20.4B13.15B8.A5.4B4.A$21.3B2A6B4.A20.4B11.16B8.A.AB.7B2.B3A$22.10B3.
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2AB2A23.4B4.2AB.17B10.7B2A3BAB2.2A$21.6B6.B.A25.4B4.B.4B.8B2.4B9.7B2A
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6.4B16.BABABA.A7.4B7.2A$8.A.A7BD4B12.4B19.4B13.A2.A.A.A.2A5.4B8.A$8.A
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14.9B7.4B29.3BD19.4B$14.9B6.4B31.3BD10.A6.4B$14.8B6.4B33.3DB7.3A5.4B$
15.8B4.4B35.4B5.A7.4B$16.6B4.4B37.4B4.2A5.4B$16.6B3.4B39.9B4.4B$16.6B
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2B42.2A6.3BABA2B$14.4BD2B50.4BAB$9.3B.3BAC2DB51.5B$8.6B2A5B52.3B$7.5B
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A.A2.A$7.14B48.7A.2A$8.12B56.A$10.3B2A3B53.4A.A$11.BA2BA2B53.A2.2A$
13.2AB10$63.A11.2A30.D3.2D2.4D2.2D$62.A.A9.B2AB28.2D2.D2.D4.D.D2.D$
54.A3.2A2.A.A9.3B30.D2.D2.D4.D4.D$40.A12.A.A2.A2.2A.2A9.A.B29.D3.2D4.
D3.2D$40.3A10.A.A3.A.A2.B8.BABAB29.D2.D2.D3.D5.D$43.A10.A.4A2.AB2A6.B
2AB2A29.D2.D2.D2.D3.D2.D$16.2A24.2A12.A3.A.A.2A4.3BA4B28.3D2.2D3.D4.
2D$17.A24.4B9.A2.BA.A2.7B2AB2AB$11.2A2.A4.A23.3B7.A.2BA.A5.3B2AB6AB$
11.A2.A.5A22.4B7.2A.2BA5.3BA4B6AB$8.2A.A.2A.B16.2A8.5B10.3B4.3BAB2A2B
A3B2A$8.A2.A2.B3AB4A10.A8.6B11.2B.B.5B4A4B3AB$10.A.2A3BA.A2.A7.BA.A8.
8B2.19BABABA2B2AB$9.2A.A2.7B4.3B.B2A8.14BD15B2A3B2A4B$12.A.7B3.7B11.
13B3D18B2A5B2.2A$12.2A.16B12.7B.4BDBD20B3.B2A2.A4.2A$15.15B12.15BD19B
4.A.3A4.B2AB$15.16B11.19B2.2B2.B3.6B5.A8.2B6.B$15.18B8.17B14.6B5.3A6.
2B4.3B$16.20B2.2B.15B14.9B6.A5.14B$12.2A3.15BD22B15.2A4.4B11.14B$12.A
5.7B.4BDBD13B.8B16.A5.4B.B5.17B$9.2A.A4.7B2.4B3D9B2A2B3.8B11.3A7.28B$
9.A.A4.8B2.4BD11B2A2B5.B3.2A11.A9.30B$10.B5.7B4.18B10.A22.31B$9.3B.B
2.8B10.4B.3B.B12.3A19.32B$8.16B11.4B19.A20.32B$7.17B12.4B37.2AB2.23B
3.4B$6.18B13.4B35.A.AB4.18B7.4B$5.20B13.4B34.A8.13B.2B9.4B$5.19B15.4B
32.2A9.12B13.4B$5.19B16.4B41.12B15.4B$6.17B18.4B40.12B16.4B$11.11B20.
4B30.2A7.12B17.4B$12.6B6.A18.4B28.A2.A2.2A2.9B2CB18.4B$12.6B6.3A17.4B
28.2A2.A.A2.B3D5B2C3B17.4B$12.7B8.A17.4B29.2A.B3.2BD12B17.4B$10.10B6.
A.AB16.4B28.A2.2B2.2B3D10B18.4B$10.2A4B.4B5.A.AB17.4B24.2A.A.BA2B.15B
19.4B$6.2A2.BA2B4.4B5.A3B17.4B23.A.2A.A.A16B21.3BA$6.A2.A.A.A5.4B6.4B
16.4B26.A.A.8B.8B21.ABA$8.2A.A.3A4.4B5.6B15.4B22.2A2.A4.5B4.5B2A21.2A
$10.A.A3.A4.4B4.7B15.4B19.3A.2A4.6B4.5BABA21.B$10.A.A2.2A5.4B2.8B.4B.
B9.4B17.A4.B6.6B4.2B2.A3B$11.A11.17B.B2A9.4B17.3AB2AB3.7B9.4B$24.18B
2A10.4B18.A.2AB.8B11.4B$24.16B.2B12.4B21.10B12.4B$24.16B16.4B20.6B2A
3B12.4B$24.15B18.4B19.6B2A2B5.2A7.4B$22.2AB.12B20.4B18.10B5.A9.4B10.
2A$21.A.AB2.11B21.4B16.11B2.BA.A10.4B9.A$21.A5.10B3.2A18.4B15.12B.B2A
12.4B10.A$20.2A5.2B2A6B3.A20.4B13.15B8.2A5.4B5.5A$26.3B2A6B4.A20.4B
11.16B9.A5.4B4.A$27.10B3.2A21.4B7.2B.16B9.A.AB.7B2.B3A$27.8B.B2A25.4B
5.2A18B10.2AB.7B3.2B.A$26.7B3.B2AB2A23.4B4.2AB.17B11.12B4A$26.6B6.B.A
25.4B4.B.4B.8B2.4B10.7B2A3BAB2.2A$27.6B4.2A3.A24.4B10.7B4.4B9.7B2A2B.
B3A2.A$27.8B.A2.4A25.4B10.6B5.4B8.10B3.B.A.2A$26.9BA.A.A29.4B11.4B6.
4B6.8B8.A$17.A8.7B.2BAB.A.2A5.2A20.4B12.3BA5.4B4.9B7.2A$17.3A6.6B3.2B
2.A.A6.A.A20.4B12.BA.A5.4B2.4B2.3B$20.A4.2B3D2B4.B.2A2.A7.A4.2A15.4B
11.BA.A6.8B3.5B$19.2A4.4BD2B3.A.A2.A.A3.4A.2A2.A2.A14.4B12.2A.2A4.6B
7.2A$19.4B.4B3DB3.2A2.A.A4.A2.A.A.A.A.2A15.4B8.A5.A6.4B8.A$21.11B8.A
7.BABABA.A19.4B7.5A.A5.6B8.3A$20.12B17.B2ABA.A20.4B11.A5.8B9.A$20.12B
18.2B.BA22.4B7.3A5.4B2.4B$20.11B18.3B26.4B5.A7.4B4.4B$21.7B12.2A6.5B
26.4B4.2A5.4B6.4B10.2A$14.2A5.8B12.A6.B2A3B26.9B4.4B8.4B9.A$15.A6.8B
11.A.AB3.B2A4B26.6B5.4B10.4B10.A$15.A.AB2.8B13.2AB.10B25.8B2.4B5.2A5.
4B5.5A$16.2AB.10B14.13B22.15B7.A5.4B4.A$18.12B14.14B21.14B8.A.AB.7B2.
B3A$18.12B14.15B20.13B10.2AB.7B3.2B.A$18.9B2.B2A14.8B2.4B17.2AB.10B
13.12B4A$19.8B2.BA.A13.6B5.4B15.A.AB3.B2A5B13.7B2A3BAB2.2A$20.6B6.A
12.9B4.4B14.A6.B2A3B15.7B2A2B.B3A2.A$21.6B5.2A10.4B4.2A5.4B12.2A6.4B
17.10B3.B.A.2A$21.5B17.4B5.A7.4B20.3B16.8B8.A$19.2B2D2BD16.4B7.3A5.4B
20.2B.BA12.9B7.2A$14.2A2.4B3DB15.4B10.A6.4B18.B2ABA.A10.4B2.3B$13.A.A
7BD4B12.4B19.4B16.BABABA.A9.4B3.5B$13.A3.11B11.4B21.4B13.A2.A.A.A.2A
7.4B7.2A$12.2A3.4B2A5B10.4B23.4B12.4A.2A2.A7.4B8.A$18.3B2A5B9.4B25.4B
15.A4.A6.4B10.3A$18.10B8.4B27.4B10.2A2.A.3A6.4B13.A$19.9B7.4B29.4B9.
2A3.2A7.4B$19.9B6.4B31.4B21.4B$19.8B6.4B33.4B19.4B$20.8B4.4B35.4B10.A
6.4B$21.6B4.4B37.4B7.3A5.4B$21.6B3.4B39.4B5.A7.4B$21.6B2.4B41.4B4.2A
5.4B$20.7B.4B43.9B4.4B$20.6B.4B45.6B5.4B$21.9B46.8B2.4B$21.8B45.15B$
20.8B46.14B$20.3B3AB47.13B$20.5BA46.2AB.10B$19.2B3DAB45.A.AB3.4BA2B$
19.4BD2B45.A5.4BABA2B$14.3B.4B3DB44.2A6.3BABA2B$13.2B3A8B52.4BAB$12.
3BA2B2A6B53.5B$11.3BA11B54.3B$11.4B3A2BA4B54.5B$12.3BABAB2A4B53.B2AB
2A$12.7B2A5B49.2A2.2A.AB2.2A$13.6B2A4B50.A2.B3.A.A2.A$15.8B53.7A.2A$
16.7B60.A$18.3B57.4A.A$78.A2.2A9$63.A11.2A30.D3.2D3.2D3.2D$62.A.A9.2B
AB28.2D2.D2.D.D2.D.D2.D$54.A3.2A2.A.A9.3B30.D2.D2.D.D2.D.D2.D$40.A12.
A.A2.A2.2A.2A9.B.B29.D3.2D3.2D3.3D$40.3A10.A.A3.A.A2.B8.ABA2B29.D2.D
2.D.D2.D4.D$43.A10.A.4A2.AB2A6.6B29.D2.D2.D.D2.D4.D$16.2A24.2A12.A3.A
.A.2A4.A2BA3BA28.3D2.2D3.2D2.3D$17.A24.4B9.A2.BA.A2.5BABA4BA$11.2A2.A
4.A23.3B7.A.2BA.A5.2B3A8B$11.A2.A.5A22.4B7.2A.2BA5.2B2A11B$8.2A.A.2A.
B16.2A8.5B10.3B4.3B2A3BA6B$8.A2.A2.B3AB4A10.A8.6B11.2B.B.8BA8B$10.A.
2A3BA.A2.A7.BA.A8.8B2.20B2A7B$9.2A.A2.7B4.3B.B2A8.14BD17BA8B$12.A.7B
3.7B11.13B3D25B2.2A$12.2A.16B12.7B.4BDBD20B3.B2A2.A4.2A$15.15B12.15BD
19B4.A.B2A4.B2AB$15.16B11.19B2.2B2.B3.6B5.A8.2B6.B$15.18B8.17B14.6B5.
3A6.2B4.3B$16.20B2.2B.15B14.9B6.A5.14B$12.2A3.15BD22B15.2A4.4B11.14B$
12.A5.7B.4BDBD13B.8B16.A5.4B.B5.17B$9.2A.A4.7B2.4B3D9B2A2B3.8B11.3A7.
28B$9.A.A4.8B2.4BD11B2A2B5.B3.2A11.A9.30B$10.B5.7B4.18B10.A22.31B$9.
3B.B2.8B10.4B.3B.B12.3A19.32B$8.16B11.4B19.A20.32B$7.17B12.4B37.2AB2.
23B3.4B$6.18B13.4B35.A.AB4.18B7.4B$5.20B13.4B34.A8.13B.2B9.4B$5.19B
15.4B32.2A9.12B13.4B$5.19B16.4B41.12B15.4B$6.17B18.4B40.12B16.4B$11.
11B20.4B30.2A7.12B17.4B$12.6B6.A18.4B28.A2.A2.2A2.9B2CB18.4B$12.6B6.
3A17.4B28.2A2.A.A2.B3D5B2C3B17.4B$12.7B8.A17.4B29.2A.B3.2BD12B17.4B$
10.10B6.A.AB16.4B28.A2.2B2.2B3D10B18.4B$10.2A4B.4B5.A.AB17.4B24.2A.A.
BA2B.15B19.4B$6.2A2.BA2B4.4B5.A3B17.4B23.A.2A.A.A16B21.4B$6.A2.A.A.A
5.4B6.4B16.4B26.A.A.8B.8B21.3BA$8.2A.A.3A4.4B5.6B15.4B22.2A2.A4.5B4.
7B21.ABA$10.A.A3.A4.4B4.7B15.4B19.3A.2A4.6B4.6B2A21.2A$10.A.A2.2A5.4B
2.8B.4B.B9.4B17.A4.B6.6B4.2B2.BABA21.B$11.A11.17B.B2A9.4B17.3AB2AB3.
7B9.A3B$24.18B2A10.4B18.A.2AB.8B11.4B$24.16B.2B12.4B21.10B12.4B$24.
16B16.4B20.6B2A3B12.4B$24.15B18.4B19.6B2A2B5.2A7.4B$22.2AB.12B20.4B
18.10B5.A9.4B$21.A.AB2.11B21.4B16.11B2.BA.A10.4B10.2A$21.A5.10B3.2A
18.4B15.12B.B2A12.4B9.A$20.2A5.2B2A6B3.A20.4B13.15B15.4B10.A$26.3B2A
6B4.A20.4B11.16B9.2A5.4B5.5A$27.10B3.2A21.4B7.2B.16B10.A5.4B4.A$27.8B
.B2A25.4B5.2A18B10.A.AB.7B2.B3A$26.7B3.B2AB2A23.4B4.2AB.17B10.2AB.7B
3.2B.A$26.6B6.B.A25.4B4.B.4B.8B2.4B11.12B4A$27.6B4.2A3.A24.4B10.7B4.
4B10.7B2A3BAB2.2A$27.8B.A2.4A25.4B10.6B5.4B9.7B2A2B.B3A2.A$26.9BA.A.A
29.4B11.4B6.4B8.10B3.B.A.2A$17.A8.7B.2BAB.A.2A5.2A20.4B12.3BA5.4B6.8B
8.A$17.3A6.6B3.2B2.A.A6.A.A20.4B12.BA.A5.4B4.9B7.2A$20.A4.2B3D2B4.B.
2A2.A7.A4.2A15.4B11.BA.A6.4B2.4B2.3B$19.2A4.4BD2B3.A.A2.A.A3.4A.2A2.A
2.A14.4B12.A8.8B3.5B$19.4B.4B3DB3.2A2.A.A4.A2.A.A.A.A.2A15.4B12.3A6.
6B7.2A$21.11B8.A7.BABABA.A19.4B13.A7.4B8.A$20.12B17.B2ABA.A20.4B19.6B
8.3A$20.12B18.2B.BA22.4B10.A6.8B9.A$20.11B18.3B26.4B7.3A5.4B2.4B$21.
7B12.2A6.5B26.4B5.A7.4B4.4B$14.2A5.8B12.A6.B2A3B26.4B4.2A5.4B6.4B10.
2A$15.A6.8B11.A.AB3.B2A4B26.9B4.4B8.4B9.A$15.A.AB2.8B13.2AB.10B26.6B
5.4B10.4B10.A$16.2AB.10B14.13B25.8B2.4B5.2A5.4B5.5A$18.12B14.14B22.
15B7.A5.4B4.A$18.12B14.15B21.14B8.A.AB.7B2.B3A$18.9B2.B2A14.8B2.4B20.
13B10.2AB.7B3.2B.A$19.8B2.BA.A13.6B5.4B17.2AB.10B13.12B4A$20.6B6.A12.
9B4.4B15.A.AB3.B2A5B13.7B2A3BAB2.2A$21.6B5.2A10.4B4.2A5.4B14.A6.B2A3B
15.7B2A2B.B3A2.A$21.5B17.4B5.A7.4B12.2A6.4B17.10B3.B.A.2A$19.2B2D2BD
16.4B7.3A5.4B20.3B16.8B8.A$14.2A2.4B3DB15.4B10.A6.4B20.2B.BA12.9B7.2A
$13.A.A7BD4B12.4B19.4B18.B2ABA.A10.4B2.3B$13.A3.11B11.4B21.4B16.BABAB
A.A9.4B3.5B$12.2A3.4B2A5B10.4B23.4B13.A2.A.A.A.2A7.4B7.2A$18.3B2A5B9.
4B25.4B12.4A.2A2.A7.4B8.A$18.10B8.4B27.4B15.A4.A6.4B10.3A$19.9B7.4B
29.4B10.2A2.A.3A6.4B13.A$19.9B6.4B31.4B9.2A3.2A7.4B$19.8B6.4B33.4B21.
4B$20.8B4.4B35.4B19.4B$21.6B4.4B37.4B10.A6.4B$21.6B3.4B39.4B7.3A5.4B$
21.6B2.4B41.4B5.A7.4B$20.7B.4B43.4B4.2A5.4B$20.6B.4B45.9B4.4B$21.9B
47.6B5.4B$21.8B48.8B2.4B$20.4B3AB47.15B$20.6BA48.14B$20.5BA49.13B$19.
2B3D2B47.2AB.10B$19.4BD2B46.A.AB3.4BA2B$14.3B.4B3DB46.A5.4BABA2B$13.
3A10B45.2A6.3BABA2B$12.BABA10B53.4BAB$11.B2AB2A3BA5B54.5B$11.2BA6B2A
3B56.3B$12.2BABA4B2A2B55.5B$12.3BA10B53.B2AB2A$13.12B51.2A2.2A.AB2.2A
$15.8B53.A2.B3.A.A2.A$16.7B54.7A.2A$18.3B63.A$79.4A.A$79.A2.2A!

It's possible to maladjust these things so that they break, but luckily the adjustment that produces the optimal bounding box should always work (move both trombone slides out by M cells diagonally to get +24M, then move just the reset-loop trombone slide out 0, 1, or 2 more cells to get the final small +8N adjustment.)

Like Jormungant's original, this is an 8N+k gun, k=1. Anyone want to dig up some good options for k=3, 5, and 7? Also, it's pretty clear that the template system in the gun-builder script isn't good enough when there are multiple possible adjustments, especially when some adjustments depend on other adjustments. Anyone want to try writing a new template-based script that can successfully build a minimum-bounding-box gun for any requested period? We might as well throw in k=0, 2, 4, and 6 templates, once a script like that is written -- especially since the Dvgrn-Simplified guns have that awkward p665 base period, so this exact model can only produce prime numbers at 3x and 9x multipliers. We'll need attachements that give even k values for a 3x tremi-Snark, as soon as we add semi-Snarks or quadri-Snarks to the chain. I think even the 9x version will be k=7 instead of k=1, but haven't built a sample to prove that yet.

I've oriented the above guns in the old standard way: the output glider exits the bounding box on the first tick, either southward or eastward. Also the bounding box isn't supposed to be taller than it is wide, though that's less important. It may be worth making a habit of setting up guns in this way before posting them, just because it makes it easier to validate a whole collection automatically with a script (maybe borrowing the relevant code from the gun-builder script.)

[chris_c]

Here is a period 2754 gun based on Jormungant's p941 (different components in the reset circuitry but roughly the same idea). As an even period gun I guess it is not hard to beat this area. However, I want to examine the period of this gun as we vary the lengths of the loops. Hopefully this will give us an idea of how to deal with these types of gun more generally.

Code: Select all

x = 125, y = 73, rule = LifeHistory
93.A$91.3A$34.2A11.A42.A$33.B2AB9.A.A33.2A6.2A$34.3B9.A.A2.2A3.A25.A.
A3.4B$33.B.B9.2A.2A2.A2.A.A25.A.5B$33.5B8.B2.A.A3.A.A26.7B$33.6B6.2AB
A2.4A.A27.4B2A4B.B$33.8B4.2A.A.A3.A29.4B2A3B.B2A$34.13B2.A.AB2.A15.2A
11.11B2A$32.13B5.A.A2B.A14.A12.9B.2B$31.15B5.A2B.2A11.BA.A7.2B2.10B$
31.15B4.3B12.2A.B2A7.2A13B$30.17B.B.2B12.B2A2B4.A4.2A13B$30.29B6.4B4.
3A3.2B.11B$29.13B2A16B3.6B7.A5.9B.B2A$28.14B2A16B2.6B7.2A7.7B.BA.A$
27.2AB3.27B.7B7.5B3.7B5.A$26.A2.A4.35B8.13B5.2A$25.A.2A5.6B3.B2.2B2.
20B6.9B2.4B$25.A7.6B14.21B.9B4.4B$24.2A6.9B14.29B5.4B$31.4B4.2A15.29B
5.4B$30.4B5.A15.31B5.4B$29.4B7.3A12.31B6.4B$28.4B10.A10.2AB.3B2.23B8.
4B$27.4B21.A.AB6.23B9.4B$26.4B22.A8.12B2.4B3.B12.4B$25.4B22.2A7.12B3.
2B2AB16.4B$24.4B31.10B8.2A18.4B$23.4B31.4B.6B29.4B13.A$22.4B31.4B3.B.
B32.4B10.3A$21.4B31.4B5.3B32.4B8.A$20.4B31.4B5.B2AB33.4B7.2A$19.4B31.
4B7.2A35.4B3.5B$18.4B31.4B46.4B2.3B$17.4B25.2A4.4B48.9B7.2A$16.4B25.B
2AB2.4B13.2A35.8B.B6.A$3.2A10.4B13.2A12.3B.4B13.A.A36.11B2.B.A.2A$4.A
9.4B14.2A13.B.4B14.A11.A26.7B2A4B3A2.A$2.A10.4B22.3B.9B14.2A9.3A26.7B
2A3BAB2.2A$2.5A5.4B5.2A9.4A3.13B14.B9.A29.12B4A$7.A4.4B5.A10.A3.A2.
14B11.3B9.2A10.2A14.2AB.12B.A$4.3AB2.7B.BA.A12.BA2B.14B9.6B5.5B10.A
10.2A2.A.AB.10B3A$3.A.2B3.7B.B2A13.BABA14B7.10B3.4B9.BA.A11.A2.A5.7B.
A$3.4A12B15.2B2A13B2.2B3.11B2.6B4.3B.B2A10.A2.3A5.4B.2B2.5A$.2A2.BA3B
2A7B10.2A.2A.28B2A13B.7B12.3A7.4B10.A$A2.3AB.2B2A7B11.A.A4.26B2A21B
15.A5.4B9.A$2A.A.B3.10B11.A.A6.46B15.2A4.4B10.2A$3.A8.8B11.A7.47B14.
9B6.2A$3.2A7.8BA6.A10.50B14.6B7.A$13.3B2.B2AB5.3A7.4B8.4B.13B3.B.19B
2.2B2.B3.6B5.2A.A$11.5B3.ABAB7.A5.4B10.4B4.B.7B7.33B4.A2.A$11.2A7.4B
5.2A4.4B12.4B19.6B.27B3.B2A$12.A8.4B4.9B14.4B16.5B.B2.16B2A14B$9.3A
10.4B5.6B16.4B15.2A7.16B2A13B$9.A13.4B2.8B17.4B15.A8.29B$24.15B16.4B
11.3A16.2B.B.17B$25.14B17.4B10.A17.3B4.15B$26.13B18.4B23.2A.2BA5.15B$
27.10B.B2A17.4B22.A.2BA.A5.13B$29.3B2AB3.BA.A17.4B22.A2.BA.A2.13B$29.
3B2AB6.A18.4B22.A3.A.A.2A4.8B$31.4B6.2A18.4B19.A.4A2.AB2A6.6B$31.3B
28.4B17.A.A3.A.A2.B8.5B$28.AB.2B30.4B16.A.A2.A2.2A.2A9.B.B$27.A.AB2AB
30.4B16.A3.2A2.A.A9.3B$27.A.ABABAB30.4B23.A.A9.B2AB$24.2A.A.A.A.A2.A
29.4B23.A11.2A$24.A2.A2.2A.4A30.4B$26.2A4.A35.3BA$32.A.A34.3BA$33.2A
35.3AB!

Call the extension of the SW snark pair N.
Call the extension of the NE snark/semi-snark M.
Call the amount of multiplication in the gun F. (F=6 in this case).

The placement of the syringe that does the reset has no effect on the overall period. In fact we can have N as small as -5 provided we have M+N >= 0.

Now for some formulas:

Base Period = 473 + 8*N
Delay = 389 + 8 * M

Base period is fairly self-explanatory. Delay is the number of ticks that the newly inserted glider is behind the circulating glider in the cycle of the base gun that triggered the reset. (EDIT: this definition makes life easier because it means that Delay is independent of Base Period.)

IF the gun works then the period will be:

(F-1) * Base Period + (Delay modulo Base Period)

Define x = Delay modulo Base Period. Then I believe that the gun will work provided:

A) x >= 78 (or =74, 75) (otherwise the gun breaks when the restart glider enters the syringe)
B) x <= Base Period - 26 (the restart glider must be at least 26 ticks ahead of a closely following glider in the base gun)
C) Delay <= Base Period * F

Here is the N=-5, M=19, F=6 gun that has prime period 2273. The period has become odd because the destruction of the circulating glider is happening one cycle later!

Code: Select all

x = 139, y = 87, rule = LifeHistory
107.A$105.3A$104.A$96.2A6.2A$96.A.A3.4B$97.A.5B$98.7B$98.4B2A4B.B$98.
4B2A3B.B2A$98.11B2A$98.9B.2B$93.2B2.10B$92.2A13B$92.2A13B$93.2B.11B$
96.9B.B2A$98.7B.BA.A$91.3B3.7B5.A$91.13B5.2A$91.8B2.4B$91.7B4.4B$29.
2A11.A48.7B5.4B$28.B2AB9.A.A47.8B5.4B$29.3B9.A.A2.2A3.A39.4B10.4B$28.
B.B9.2A.2A2.A2.A.A37.4B12.4B$28.5B8.B2.A.A3.A.A36.4B14.4B$28.6B6.2ABA
2.4A.A36.4B16.4B$28.8B4.2A.A.A3.A37.4B18.4B$29.13B2.A.AB2.A15.2A18.4B
20.4B$27.13B5.A.A2B.A14.A18.4B22.4B$26.15B5.A2B.2A11.BA.A17.4B24.4B
13.A$26.15B4.3B12.2A.B2A17.4B26.4B10.3A$25.17B.B.2B12.B2A2B4.A13.4B
28.4B8.A$25.29B6.4B4.3A10.4B30.4B7.2A$24.13B2A16B3.6B7.A8.4B32.4B3.5B
$23.14B2A16B2.6B7.2A7.4B34.4B2.3B$22.2AB3.27B.7B7.5B3.4B36.9B7.2A$21.
A2.A4.35B8.9B38.8B.B6.A$20.A.2A5.A5B3.B2.2B2.20B6.9B40.11B2.B.A.2A$
20.A7.B2A3B14.21B.9B41.7B2A4B3A2.A$19.2A6.BABA5B14.29B41.7B2A3BAB2.2A
$26.4B4.2A15.29B40.12B4A$25.4B5.A15.31B37.2AB.12B.A$24.4B7.3A12.31B
36.A.AB.10B3A$23.4B10.A10.2AB.3B2.23B37.A5.7B.A$22.4B21.A.AB6.23B36.
2A5.4B.2B2.5A$21.4B22.A8.12B2.4B3.B44.4B10.A$20.4B22.2A7.12B3.2B2AB
46.4B9.A$19.4B31.10B8.2A46.4B10.2A$18.4B31.4B.6B55.4B$17.4B25.2A4.4B
3.B.B56.4B$16.4B25.B2AB2.4B5.3B5.2A47.4B$3.2A10.4B13.2A12.3B.4B5.B2AB
4.A.A46.4B$4.A9.4B14.2A13.B.4B7.2A5.A11.A35.4B$2.A10.4B22.3B.9B14.2A
9.3A34.4B$2.5A5.4B5.2A9.4A3.4B2A7B14.B9.A36.4B$7.A4.4B5.A10.A3.A2.4B
2A8B11.3B9.2A10.2A22.4B$4.3AB2.7B.BA.A12.BA2B.14B9.6B5.5B10.A22.4B$3.
A.2B3.7B.B2A13.BABA14B7.10B3.4B9.BA.A21.4B$3.4A12B15.2B2A13B2.2B3.11B
2.6B4.3B.B2A10.A10.4B$.2A2.BA3B2A7B10.2A.2A.28B2A13B.7B12.3A7.4B$A2.
3AB.2B2A7B11.A.A4.26B2A21B15.A5.4B$2A.A.B3.10B11.A.A6.46B15.2A4.4B$3.
A8.8B11.A7.47B14.9B6.2A$3.2A7.8BA6.A10.50B14.6B7.A$13.3B2.B2AB5.3A7.
4B8.4B.13B3.B.19B2.2B2.B3.6B5.2A.A$11.5B3.ABAB7.A5.4B10.4B4.B.7B7.33B
4.A2.A$11.2A7.4B5.2A4.4B12.4B19.6B.27B3.B2A$12.A8.4B4.9B14.4B16.5B.B
2.16B2A14B$9.3A10.4B5.6B16.4B15.2A7.16B2A13B$9.A13.4B2.8B17.4B15.A8.
29B$24.15B16.4B11.3A16.2B.B.17B$25.14B17.4B10.A17.3B4.15B$26.13B18.4B
23.2A.2BA5.15B$27.10B.B2A17.4B22.A.2BA.A5.13B$29.3B2AB3.BA.A17.4B22.A
2.BA.A2.13B$29.3B2AB6.A18.4B22.A3.A.A.2A4.8B$31.4B6.2A18.4B19.A.4A2.A
B2A6.6B$31.3B28.4B17.A.A3.A.A2.B8.5B$28.AB.2B30.4B16.A.A2.A2.2A.2A9.B
.B$27.A.AB2AB30.4B16.A3.2A2.A.A9.3B$27.A.ABABAB30.4B23.A.A9.B2AB$24.
2A.A.A.A.A2.A29.4B23.A11.2A$24.A2.A2.2A.4A30.4B$26.2A4.A35.3BA$32.A.A
34.3BA$33.2A35.3AB!

It is interesting to note that the N=0,M=473,F=18 gun is valid and has exactly the same period as the N=0, M=0, F=18.

If the above logic is correct it should be relatively easy to chuck it all in a script.

[dvgrn]

Here is a period 2754 gun based on Jormungant's p941 (different components in the reset circuitry but roughly the same idea)...

That's a very nice small multi-path gun! I'm going to start calling my gun series from the previous post "DIS Guns", short for "Dvgrn Insufficiently Simplified"... I guess it's a little harder to replace the reset path in your model with different multipliers and 8N+k k values, though. You're somewhat stuck with that period tripler followed by a color-changing doubler, and swapping in the alternate color-changing doubler doesn't change the parity of the reset path.

... Well, that's only true until you turn the pi back into a Herschel. Even if you add enough space to allow swapping in a wide variety of H-to-Gs, and add three multiplier locations which is enough to get you well up into five-digit periods, the result is still smaller than the Dvgrn Insufficiently Simplified series. Here's a series that starts at bounding box size 12191, with trivial even-vs.-odd switching -- prime-period p1657 gun on the right:

Code: Select all

#C p1660 and p1657 guns
#C -- the only difference is CP semi-Snark vs. CP semi-cenark
x = 347, y = 73, rule = LifeHistory
.D3.3D2.3D2.2D21.2A11.A129.D3.3D.4D.4D20.2A11.A$2D2.D4.D4.D2.D19.B2AB
9.A.A127.2D2.D4.D7.D19.B2AB9.A.A$.D2.D4.D4.D2.D20.3B9.A.A2.2A3.A120.D
2.D4.D7.D20.3B9.A.A2.2A3.A$.D2.3D2.3D2.D2.D19.B.B9.2A.2A2.A2.A.A38.2A
79.D2.3D2.3D4.D20.B.B9.2A.2A2.A2.A.A38.2A$.D2.D2.D.D2.D.D2.D19.5B8.B
2.A.A3.A.A17.2A20.A14.2A63.D2.D2.D4.D3.D20.5B8.B2.A.A3.A.A17.2A20.A
14.2A$.D2.D2.D.D2.D.D2.D19.6B6.2ABA2.4A.A19.A6.2A12.A.AB11.2A27.2A34.
D2.D2.D.D2.D2.D21.6B6.2ABA2.4A.A19.A6.2A12.A.AB11.2A27.2A$3D2.2D3.2D
3.2D20.8B4.2A.A.A3.A21.A.AB.2B2AB12.2AB.B.3B33.A.A33.3D2.2D3.2D3.D21.
8B4.2A.A.A3.A21.A.AB.2B2AB12.2AB.B.3B33.A.A$38.13B2.A.AB2.A15.2A4.2AB
.4B15.7B3.4A20.2A4.A73.13B2.A.AB2.A15.2A4.2AB.4B15.7B3.4A20.2A4.A$36.
13B5.A.A2B.A14.A.A4.8B14.7B2.A3.A18.A2.A2.2A.4A67.13B5.A.A2B.A14.A.A
4.8B14.7B2.A3.A18.A2.A2.2A.4A$35.15B3.B.A2B.2A11.BA.A.3A3.9B12.7B.2BA
B20.2A.A.A.A.A2.A66.15B3.B.A2B.2A11.BA.A.3A3.9B12.7B.2BAB20.2A.A.A.A.
A2.A$35.15B3.4B12.2A.B2A5.A2.9B10.10BABAB23.A.ABABAB68.15B3.4B12.2A.B
2A5.A2.9B10.10BABAB23.A.ABABAB$34.8BA8B.4B12.B2A2B6.2A.3BD7B2.2B2.13B
2A2B23.A.AB2AB68.6B3A8B.4B12.B2A2B6.2A.3BD7B2.2B2.13B2A2B23.A.AB2AB$
34.7B2A20B6.4B6.6B2D15BD12B.2A22.AB.2B69.5BA2BA20B6.4B6.6B2D15BD12B.
2A22.AB.2B$33.7BA18BD4B3.6B8.6BD14BDBD8B4.A25.3B67.5BA20BD4B3.6B8.6BD
14BDBD8B4.A25.3B$32.9B2A14B3D4B2.6B7.7B2D3B2A9B3D6B6.A.A23.4B6.2A57.
7BA2BA14B3D4B2.6B7.7B2D3B2A9B3D6B6.A.A23.4B6.2A$31.2AB3.5BA14BDBD4B.
7B6.13B2A11BD6B7.2A21.3B2AB6.A57.2AB3.3B3A14BDBD4B.7B6.13B2A11BD6B7.
2A21.3B2AB6.A$30.A2.A4.19BD15B5.34B27.5B2AB3.BA.A56.A2.A4.19BD15B5.
34B27.5B2AB3.BA.A$29.A.2A5.6B3.B2.2B2.20B3.12B.2B.3B.4B8.4B26.10B.B2A
56.A.2A5.6B3.B2.2B2.20B3.12B.2B.3B.4B8.4B26.10B.B2A$29.A7.6B14.31B8.
4B10.4B24.13B58.A7.6B14.31B8.4B10.4B24.13B$28.2A6.9B14.33B3.4B12.4B
22.6B3D5B57.2A6.9B14.33B3.4B12.4B22.6B3D5B$35.4B4.2A15.20B3D15B14.4B
20.7BD7B64.4B4.2A15.20B3D15B14.4B20.7BD7B$34.4B5.A15.23BD14B16.4B18.
4B2.3BD4B65.4B5.A15.23BD14B16.4B18.4B2.3BD4B$33.4B7.3A12.21B3D13B18.
4B16.4B5.6B64.4B7.3A12.21B3D13B18.4B16.4B5.6B$32.4B10.A10.2AB.3B2.29B
20.4B14.4B4.9B62.4B10.A10.2AB.3B2.29B20.4B14.4B4.9B$31.4B21.A.AB6.28B
22.4B12.4B5.2A4.4B60.4B21.A.AB6.28B22.4B12.4B5.2A4.4B$30.4B22.A8.28B
24.4B10.4B7.A5.4B10.2A46.4B22.A8.28B24.4B10.4B7.A5.4B10.2A$29.4B22.2A
7.28B26.4B8.4B5.3A7.4B9.A46.4B22.2A7.28B26.4B8.4B5.3A7.4B9.A$28.4B31.
10B4.15B27.4B6.4B6.A10.4B10.A43.4B31.10B4.15B27.4B6.4B6.A10.4B10.A$
27.4B31.4B.6B5.13B29.4B4.4B12.2A5.4B5.5A42.4B31.4B.6B5.13B29.4B4.4B
12.2A5.4B5.5A$26.4B31.4B3.B.B6.12B32.4B2.4B14.A5.5B3.A46.4B31.4B3.B.B
6.12B32.4B2.4B14.A5.5B3.A$25.4B31.4B5.3B5.13B32.8B15.A.AB.7B2.B3A42.
4B31.4B5.3B5.13B32.8B15.A.AB.7B2.B3A$24.4B31.4B5.B2AB5.13B33.6B17.2AB
.7B3.2B.A40.4B31.4B5.B2AB5.13B33.6B17.2AB.7B3.2B.A$23.4B31.4B7.2A5.
14B34.4B20.3B2D7B4A39.4B31.4B7.2A5.14B34.4B11.A8.3B2D7B4A$22.4B31.4B
15.13B34.6B19.2BDBD2B2A3BAB2.2A36.4B31.4B15.13B34.6B8.3A8.2BDBD2B2A3B
AB2.2A$21.4B31.4B16.13B33.8B18.4BD2B2A2B.B3A2.A34.4B31.4B16.13B33.8B
6.A11.4BD2B2A2B.B3A2.A$20.4B31.4B15.2AB.7B.B.B32.4B2.4B10.A6.10B3.B.A
.2A33.4B31.4B15.2AB.7B.B.B32.4B2.4B5.2A10.10B3.B.A.2A$19.4B25.2A4.4B
15.A.AB.5B2.3B32.4B4.4B7.3A5.4BA3B8.A35.4B25.2A4.4B15.A.AB.5B2.3B32.
4B4.4B.5B9.4BA3B8.A$18.4B25.B2AB2.4B11.2A3.A6.B4.B2AB30.4B6.4B5.A7.4B
ABA2B7.2A34.4B25.B2AB2.4B11.2A3.A6.B4.B2AB30.4B6.7B10.4BABA2B7.2A$5.
2A10.4B13.2A12.3B.4B12.A3.2A12.2A30.4B8.4B4.2A5.6BA3B30.2A10.4B13.2A
12.3B.4B12.A3.2A12.2A30.4B3.2A3.3BD3B8.6BA3B$6.A9.4B14.2A13.B.4B14.A
11.A35.4B10.9B4.4B3.4B.2A28.A9.4B14.2A13.B.4B14.A11.A35.4B4.A4.BDBD3B
AB5.4B3.4B.2A$4.A10.4B22.3B.9B14.2A9.3A34.4B11.7B5.4B5.4B.A26.A10.4B
22.3B.9B14.2A9.3A34.4B7.A.3B2D2BABAB3.4B5.4B.A$4.5A5.4B5.2A9.4A3.4B2A
7B14.B9.A36.4B12.5BD3B2.4B5.B2A2B.A.2A23.5A5.4B5.2A9.4A3.4B2A7B14.B9.
A36.4B7.2A8B2A3B.4B5.B2A2B.A.2A$9.A4.4B5.A10.A3.A2.4B2A8B11.3B9.2A10.
2A22.4B10.B.7BD7B7.2A2B2A.A2.A26.A4.4B5.A10.A3.A2.4B2A8B11.3B9.2A10.
2A22.4B7.A3.16B7.2A2B2A.A2.A$6.3AB2.7B.BA.A12.BA2B.14B9.6B5.5B10.A22.
4B7.2A.2A6B3D6B11.3B.A.2A23.3AB2.7B.BA.A12.BA2B.14B9.6B5.5B10.A22.4B
7.A.2A16B11.3B.A.2A$5.A.2B3.7B.B2A13.BABA14B7.10B3.4B9.BA.A21.4B6.A2.
A.2A14B9.2A5.A25.A.2B3.7B.B2A13.BABA14B7.10B3.4B9.BA.A21.4B7.A2.A.AB.
12B9.2A5.A$5.4A12B15.2B2A13B2.2B3.11B2.6B4.3B.B2A10.A10.4B7.2A3.15B
10.A5.2A25.4A12B15.2B2A13B2.2B3.11B2.6B4.3B.B2A10.A10.4B8.2A2.AB3.10B
10.A5.2A$3.2A2.BA3B2A7B10.2A.2A.28B2A13B.7B12.3A7.4B12.4B4.B2A4B13.A
28.2A2.BA3B2A7B10.2A.2A.28B2A13B.7B12.3A7.4B19.9B2.2A8.A$2.A2.3AB.2B
2A7B11.A.A4.26B2A21B15.A5.4B13.BA2.A3.B2A3B13.2A27.A2.3AB.2B2A7B11.A.
A4.26B2A21B15.A5.4B18.5B5.BA2.A7.2A$2.2A.A.B3.10B11.A.A6.46B15.2A4.4B
14.B4A3.4B44.2A.A.B3.10B11.A.A6.46B15.2A4.4B19.2A8.B3A$5.A8.8B11.A7.
47B14.9B6.2A5.A10.3B47.A8.8B11.A7.47B14.9B6.2A13.A6.A$5.2A7.8BA6.A10.
50B14.6B7.A6.5A7.2B.BA44.2A7.8BA6.A10.50B14.6B7.A11.3A7.4A$15.3B2.B2A
B5.3A7.4B8.4B.13B3.B.19B2.2B2.B3.6B5.2A.A10.A6.B2ABA.A53.3B2.B2AB5.3A
7.4B8.4B.13B3.B.19B2.2B2.B3.6B5.2A.A11.A12.A$13.5B3.ABAB7.A5.4B10.4B
4.B.7B7.33B4.A2.A9.A7.BABABA.A51.5B3.ABAB7.A5.4B10.4B4.B.7B7.33B4.A2.
A24.A$13.2A7.4B5.2A4.4B12.4B19.6B.27B3.B2A10.2A4.A2.A.A.A.A.2A48.2A7.
4B5.2A4.4B12.4B19.6B.27B3.B2A25.2A$14.A8.4B4.9B14.4B16.5B.B2.16B2A14B
17.4A.2A2.A2.A49.A8.4B4.9B14.4B16.5B.B2.16B2A14B$11.3A10.4B5.6B16.4B
15.2A7.16B2A13B22.A4.2A48.3A10.4B5.6B16.4B15.2A7.16B2A13B$11.A13.4B2.
8B17.4B15.A8.29B21.A.A54.A13.4B2.8B17.4B15.A8.29B$26.15B16.4B11.3A16.
2B.B.17B21.2A70.15B16.4B11.3A16.2B.B.17B$27.14B17.4B10.A17.3B4.15B95.
14B17.4B10.A17.3B4.15B$28.13B18.4B23.2A.2BA5.15B96.13B18.4B23.2A.2BA
5.15B$29.10B.B2A17.4B22.A.2BA.A5.13B98.10B.B2A17.4B22.A.2BA.A5.13B$
31.3B2AB3.BA.A17.4B22.A2.BA.A2.13B102.3B2AB3.BA.A17.4B22.A2.BA.A2.13B
$31.3B2AB6.A18.4B22.A3.A.A.2A4.8B101.3B2AB6.A18.4B22.A3.A.A.2A4.8B$
33.4B6.2A18.4B19.A.4A2.AB2A6.6B103.4B6.2A18.4B19.A.4A2.AB2A6.6B$33.3B
28.4B17.A.A3.A.A2.B8.5B103.3B28.4B17.A.A3.A.A2.B8.5B$30.AB.2B30.4B16.
A.A2.A2.2A.2A9.B.B100.AB.2B30.4B16.A.A2.A2.2A.2A9.B.B$29.A.AB2AB30.4B
16.A3.2A2.A.A9.3B100.A.AB2AB30.4B16.A3.2A2.A.A9.3B$29.A.ABABAB30.4B
23.A.A9.B2AB99.A.ABABAB30.4B23.A.A9.B2AB$26.2A.A.A.A.A2.A29.4B23.A11.
2A97.2A.A.A.A.A2.A29.4B23.A11.2A$26.A2.A2.2A.4A30.4B133.A2.A2.2A.4A
30.4B$28.2A4.A35.3BA134.2A4.A35.3BA$34.A.A34.3BA139.A.A34.3BA$35.2A
35.3AB139.2A35.3AB!

Simpler Still?
Seems like there's one possible adjustment that would allow a big simplification to the arithmetic of these things, if not necessarily to the size. If the base loop had an 8N period, then it would stop mattering what the multipliers were -- you'd still end up with 8N+k guns with the same k value, no matter what multipliers are swapped in. What's the smallest resettable loop with a multiple-of-8 period?

EDIT: I suppose an 8N+4 loop wouldn't be too bad. Changing the parity of the multiplier would only toggle between two k values, and wouldn't ever force an even/odd correction like the one above to get back into periods that might be primes. Something like this, maybe?

Code: Select all

x = 83, y = 70, rule = LifeHistory
26.2A11.A$25.B2AB9.A.A$26.3B9.A.A2.2A3.A$25.B.B9.2A.2A2.A2.A.A12.A$
25.5B8.B2.A.A3.A.A10.3A$25.6B6.2ABA2.4A.A10.A$25.8B4.2A.A.A3.A12.2A$
26.13B2.A.AB2.A9.4B$24.13B5.A.A2B.A7.3B$23.15B3.B.A2B.2A7.4B$23.15B3.
4B10.5B15.2B$22.17B.4B11.6B13.5B$22.29B2.8B12.7B$21.13B2A11BD14B10.8B
$20.14B2A9B3D13B11.9B$19.2AB3.20BDBD4B.7B12.10B$18.A2.A4.19BD15B12.8B
A$17.A.2A5.6B3.B2.2B2.19B11.8BABA$17.A7.6B14.17B8.10BABA$16.2A6.9B14.
15B.2B2.14BAB$23.4B4.2A15.22BD11B$22.4B5.A16.8B.13BDBD9B$21.4B7.3A11.
8B3.2B2A9B3D7B$20.4B10.A11.2A3.B5.2B2A11BD7B$19.4B24.A10.18B2.B$18.4B
22.3A12.B.3B.4B$17.4B23.A19.4B$16.3AB43.4B$15.3BA43.4B$14.3BA43.4B$
13.4B43.4B$12.4B43.4B$11.4B43.4B$10.4B43.4B$9.4B43.4B$8.4B43.4B$8.4B
42.4B$7.5B41.4B$4.9B39.4B$4.9B38.4B$4.9B37.4B$4.10B35.4B$3.12B33.4B$
2.13B8.2A22.4B$3.11B9.A22.4B$4.12B4.BA.A21.4B$4.15B.B2A10.A10.4B$4.
17B12.3A7.4B$4.17B15.A5.4B$.B.17B15.2A4.4B$2A19B14.9B6.2A$2AB.19B14.
6B7.A$.B4.20B2.2B2.B3.6B5.2A.A$6.16BD19B4.A2.A$6.9B.4BDBD20B3.B2A$7.
7B2.4B3D9B2A14B$7.7B2.4BD11B2A13B$7.6B4.29B$7.7B10.4B.17B$7.6B10.5B2.
15B$6.7B6.2A.2BA.2B2.15B$7.6B6.A.2BA.A5.13B$8.5B7.A2.BA.A2.13B$8.6B7.
A3.A.A.2A4.8B$10.4B5.A.4A2.AB2A6.6B$9.B2A2B4.A.A3.A.A2.B8.5B$10.2A6.A
.A2.A2.2A.2A9.B.B$19.A3.2A2.A.A9.3B$27.A.A9.B2AB$28.A11.2A!

[chris_c]

Simpler Still?
Seems like there's one possible adjustment that would allow a big simplification to the arithmetic of these things, if not necessarily to the size. If the base loop had an 8N period, then it would stop mattering what the multipliers were -- you'd still end up with 8N+k guns with the same k value, no matter what multipliers are swapped in. What's the smallest resettable loop with a multiple-of-8 period?

That would be the p392 I think:

Code: Select all

x = 66, y = 59, rule = LifeHistory
20.2A11.A$19.B2AB9.A.A$20.3B9.A.A2.2A3.A$19.B.B9.2A.2A2.A2.A.A$19.5B
8.B2.A.A3.A.A12.A$19.6B6.2ABA2.4A.A11.3A$19.8B4.2A.A.A3.A12.A$20.13B
2.A.AB2.A11.2A$18.13B5.A.A2B.A7.5B$17.15B5.A2B.2A6.4B$17.15B4.3B10.5B
$16.17B.B.2B10.6B.B$16.29B3.9B$15.13B2A16B2.11B.B$14.14B2A16B2.12B2A$
13.2AB3.27B.13B2A$12.A2.A4.39B.B$11.A.2A5.6B3.B2.2B2.22B$11.A7.6B14.
20B$10.2A6.9B14.20B$17.4B4.2A15.19B$16.4B5.A15.19B$15.4B7.3A12.17B2AB
A.2A$14.4B10.A10.2AB.3B.11B2A.2A.A$4.A8.4B21.A.AB6.11B$2.5A5.4B5.2A
15.A8.10B$.A5.A4.4B5.A15.2A7.10B$.A2.3AB2.7B.BA.A24.11B$2A.A.2B3.7B.B
2A25.11B$A2.4A12B26.13B$.2A2.BA3B2A7B23.2B.13B.2B$3.3AB.2B2A7B22.21B$
3.A.B3.10B20.25B$2A.A8.8B19.25B$2A.2A7.9B17.27B$13.3B2.4B16.27B$11.5B
3.4B6.A7.29B$11.2A7.4B5.3A6.27B$12.A8.4B7.A5.6B2.11B2.6B$9.3A10.4B5.
2A4.A3B.B3.8B.B4.B.3BA$9.A13.4B4.6BABA7.B.4B10.ABA$24.4B5.4B2A11.3B
11.2A$25.4B2.8B11.4B11.B$26.15B8.BA3B$27.14B7.BABAB$28.13B7.A.A2.2B2.
B$29.10B.B2A3.3A2.3AB.B2A$31.3B2AB3.BA.A.A3.2A2.BA2B2A$31.3B2AB6.A.A
2.A2.2A.AB.B$33.4B6.2A3.A.A2.AB$33.3B11.2A.2A$30.AB.2B$29.A.AB2AB$29.
A.ABABAB$28.2A.A.A.A2.A$29.A2.2A.4A$29.A4.A$30.3A.A2.2A$32.2A3.2A!

Although the channel where the glider is travelling SW already looks quite crowded and so tough to put a reset mechanism in there.

Much better in this respect would be the p441 series... plenty of space on the SW lane and can be trivially turned into a Herschel factory also:

Code: Select all

x = 80, y = 61, rule = LifeHistory
18.2A11.A$17.B2AB9.A.A$18.3B9.A.A2.2A3.A$17.B.B9.2A.2A2.A2.A.A$17.5B
8.B2.A.A3.A.A12.2A$17.6B6.2ABA2.4A.A13.A$17.8B4.2A.A.A3.A12.BA.A$18.
13B2.A.AB2.A9.B.B2A$16.13B5.A.A2B.A7.4B$15.15B5.A2B.2A7.4B$15.15B4.3B
10.5B$14.17B.B.2B11.6B7.2A$14.29B2.8B8.A14.2A$13.13B2A26B7.A.AB11.2A$
12.14B2A25B9.2AB.B.3B$11.2AB3.27B.7B12.7B3.4A$10.A2.A4.35B11.7B2.A3.A
$9.A.2A5.6B3.B2.2B2.19B11.7B.2BAB$9.A7.6B14.17B8.10BABAB$8.2A6.9B14.
15B.2B2.13B2A2B$3.2A10.4B4.2A15.35B.2A$4.A9.4B5.A16.8B.24B4.A$2.A10.
4B7.3A11.8B3.2B2A18B6.A.A$2.5A5.4B5.3A2.A11.2A3.B5.2B2A18B7.2A$7.A4.
4B5.A2.A14.A10.22B$4.3AB2.7B.BA.A2.2A10.3A12.B.3B.4B8.4B$3.A.2B3.7B.B
2A15.A19.4B10.4B$3.4A12B36.4B12.4B$.2A2.BA3B2A7B35.4B14.4B$A2.3AB.2B
2A7B34.4B16.4B$2A.A.B3.10B33.4B18.4B$3.A8.8B31.4B20.4B$3.2A7.9B29.4B
22.3BA$13.3B2.4B27.ABAB24.ABA$11.5B3.4B25.B2AB26.2A$11.2A7.4B23.3BA
28.B$12.A8.4B21.4B$9.3A10.4B19.4B$9.A13.4B6.A10.4B$24.4B5.3A7.4B$25.
4B7.A5.4B$26.4B5.2A4.4B$27.4B4.9B$28.4B5.6B$29.4B2.8B$30.15B$31.14B$
32.13B$33.10B.B2A$35.3B2AB3.BA.A$35.3B2AB6.A$37.4B6.2A$37.3B$34.AB.2B
$33.A.AB2AB$33.A.ABABAB$30.2A.A.A.A.A2.A$30.A2.A2.2A.4A$32.2A4.A$38.A
.A$39.2A!

EDIT: Other good options, p363. Nice amount of space but not a direct Herschel:

Code: Select all

x = 60, y = 61, rule = LifeHistory
18.2A11.A25.3A$17.B2AB9.A.A23.3BA$18.3B9.A.A2.2A3.A3.A10.3BA$17.B.B9.
2A.2A2.A2.A.A2.3A7.4B$17.5B8.B2.A.A3.A.A5.A5.4B$17.6B6.2ABA2.4A.A5.2A
.7B$17.8B4.2A.A.A3.A7.9B$18.13B2.A.AB2.A8.6B$16.13B5.A.A2B.A7.5B$15.
15B5.A2B.2A6.7B$15.15B4.3B10.6B$14.17B.B.2B10.7B$14.29B4.6B$13.13B2A
16B2.7B$12.14B2A16B2.7B$11.2AB3.27B.9B$10.A2.A4.36B$9.A.2A5.6B3.B2.2B
2.20B4.B$9.A7.6B14.19B.B2A$8.2A6.9B14.19B2A$3.2A10.4B4.2A15.17B.B$4.A
9.4B5.A15.17B$2.A10.4B7.3A12.12B2A3B$2.5A5.4B5.3A2.A10.2AB.10B3A2B$7.
A4.4B5.A2.A11.A.AB4.11BA$4.3AB2.7B.BA.A2.2A10.A9.8BABA$3.A.2B3.7B.B2A
14.2A8.9BA2BA$3.4A12B26.10B2A$.2A2.BA3B2A7B27.10B$A2.3AB.2B2A7B28.4BA
4B$2A.A.B3.10B28.2BA2BA3B$3.A8.8B27.2BABA4B$3.2A7.9B27.2BA2B$13.3B2.
4B26.4B$11.5B3.4B25.4B$11.2A7.4B23.4B$12.A8.4B21.4B$9.3A10.4B19.4B$9.
A13.4B6.A10.A3B$24.4B5.3A7.BABA$25.4B7.A5.2B2A$26.4B5.2A4.4B$27.4B4.
9B$28.4B5.6B$29.4B2.8B$30.15B$31.14B$32.13B$33.10B.B2A$35.3B2AB3.BA.A
$35.3B2AB6.A$37.4B6.2A$37.3B$34.AB.2B$33.A.AB2AB$33.A.ABABAB$30.2A.A.
A.A.A2.A$30.A2.A2.2A.4A$32.2A4.A$38.A.A$39.2A!

And p418. It's exactly like the gun in my previous post on the north side. Only difference is the south is the mirror image syringe+H->G instead of two Snarks:

Code: Select all

x = 78, y = 54, rule = LifeHistory
24.2A11.A$23.B2AB9.A.A$24.3B9.A.A2.2A3.A$23.B.B9.2A.2A2.A2.A.A$23.5B
8.B2.A.A3.A.A$23.6B6.2ABA2.4A.A$23.8B4.2A.A.A3.A$24.13B2.A.AB2.A15.2A
$22.13B5.A.A2B.A14.A$21.15B5.A2B.2A11.BA.A$21.15B4.3B12.2A.B2A$20.17B
.B.2B12.B2A2B$20.29B6.4B$19.13B2A16B3.6B$18.14B2A16B2.6B$17.2AB3.27B.
7B9.2A$16.A2.A4.35B6.2B2AB6.2A$15.A.2A5.6B3.B2.2B2.20B5.4B7.A$15.A7.
6B14.21B.6B2.BA.A$14.2A6.9B14.27B.B2A$21.4B4.2A15.28B$11.2A7.4B5.A15.
29B$10.B2AB5.4B7.3A12.29B$10.3B5.4B10.A10.2AB.3B2.22B$11.B.B3.4B21.A.
AB6.13B.9B$9.6B.4B22.A8.12B2.11B$2A7.10B22.2A7.12B3.BAB.B3.4B$.A7.9B
7.2A22.10B6.A.A.2A3.3BA$.A.AB2.10B8.A22.4B.6B4.3A.ABA5.ABA$2.2AB.10B
6.BA.A21.4B3.B.B5.A3.A4.A4.2A$4.12B2.3B.B2A10.A10.4B5.3B5.A2.A.4A5.B$
4.19B12.3A7.4B5.B2AB6.A.A.A$4.19B15.A5.4B7.2A8.A3.3A$4.18B15.2A4.4B
24.A$5.18B14.9B6.2A$6.19B14.6B7.A$7.21B2.2B2.B3.6B5.2A.A$9.27BA7B4.A
2.A$10.7B.17B2A8B3.B2A$10.6B2.16BAB3A11B$9.6B3.16BABAB2A9B$9.4B6.16B
4A9B$9.2B2AB12.2B.B.5B2A10B$7.2AB.2A12.3B4.15B$6.A.AB11.2A.2BA5.15B$
6.A14.A.2BA.A5.13B$5.2A15.A2.BA.A2.13B$23.A3.A.A.2A4.8B$21.A.4A2.AB2A
6.6B$20.A.A3.A.A2.B8.5B$20.A.A2.A2.2A.2A9.B.B$21.A3.2A2.A.A9.3B$29.A.
A9.B2AB$30.A11.2A!

EDIT2: dvgrn's p1657 down to p1601 (prime) with a more recent Pi->H:

Code: Select all

x = 162, y = 69, rule = LifeHistory
32.2A11.A$31.B2AB9.A.A$32.3B9.A.A2.2A3.A$2.D3.3D2.2D3.D14.B.B9.2A.2A
2.A2.A.A38.2A$.2D2.D4.D2.D.2D14.5B8.B2.A.A3.A.A17.2A20.A14.2A$2.D2.D
4.D2.D2.D14.6B6.2ABA2.4A.A19.A6.2A12.A.AB11.2A$2.D2.3D2.D2.D2.D14.8B
4.2A.A.A3.A21.A.AB.2B2AB12.2AB.B.3B$2.D2.D2.D.D2.D2.D15.13B2.A.AB2.A
15.2A4.2AB.4B15.7B3.4A$2.D2.D2.D.D2.D2.D13.13B5.A.A2B.A14.A.A4.8B14.
7B2.A3.A$.3D2.2D3.2D2.3D11.15B5.A2B.2A11.BA.A.3A3.9B12.7B.2BAB$29.15B
4.3B12.2A.B2A5.A2.9B10.10BABAB$28.17B.B.2B12.B2A2B6.2A.11B2.2B2.13B2A
2B20.2A$28.29B6.4B6.36B.2A19.A$27.13B2A9B3ABA2B3.6B8.32B4.A18.A12.A$
26.14B2A8BA3BAB2A2.6B7.12B2A18B6.A.A16.4A7.3A$25.2AB3.19B2A4BAB.7B6.
13B2A18B7.2A19.A6.A$24.A2.A4.18BAB4A11B5.34B22.3AB8.2A$23.A.2A5.6B3.B
2.2B2.20B3.12B.2B.3B.4B8.4B20.A2.AB5.5B$23.A7.6B14.30B11.2B3.B6.4B19.
2A2.9B$22.2A6.9B14.29B10.3B.B2A6.4B22.10B3.BA2.2A$29.4B4.2A15.31B8.A
3B2A7.4B20.12B.BA.A2.A$28.4B5.A15.33B6.A.AB.B9.4B18.16B2A.A$27.4B7.3A
12.32B6.A.AB13.4B16.16B3.A$26.4B10.A10.2AB.3B2.21B10.A17.4B14.4B.3B2A
8B2A$25.4B21.A.AB6.20B10.2A18.4B12.4B3.BABA7B.A$24.4B22.A8.20B32.4B
10.4B5.BA7B4.A$23.4B22.2A7.12B.8B.B31.4B8.4B8.4B2AB3.2A$22.4B31.10B5.
8B2A.2A28.4B6.4B10.3B2A2B$21.4B31.4B.6B6.7B.A.A30.4B4.4B9.5B.4B$20.4B
31.4B3.B.B10.5BA3.A30.4B2.4B10.2A5.4B$19.4B31.4B5.3B7.5B2.A.2A32.8B
12.A6.4B10.2A$18.4B31.4B5.B2AB7.2A3.2A2.A34.6B10.3A8.4B9.A$17.4B25.2A
4.4B7.2A9.A2.A4.A35.4B11.A11.4B10.A$16.4B25.B2AB2.4B16.3A3.5A35.6B16.
2A5.4B5.5A$3.2A10.4B13.2A12.3B.4B9.4A4.A44.8B16.A5.4B4.A$4.A9.4B14.2A
13.B.4B10.A3.A11.A35.4B2.4B15.A.AB.7B2.B3A$2.A10.4B22.3B.9B14.2A9.3A
34.4B4.4B15.2AB.7B3.2B.A$2.5A5.4B5.2A9.4A3.4B2A7B14.B9.A36.4B6.4B16.
12B4A$7.A4.4B5.A10.A3.A2.4B2A8B11.3B9.2A10.2A22.4B8.4B10.A4.7B2A3BAB
2.2A$4.3AB2.7B.BA.A12.BA2B.14B9.6B5.5B10.A22.4B10.4B7.3A4.7B2A2B.B3A
2.A$3.A.2B3.7B.B2A13.BABA14B7.10B3.4B9.BA.A21.4B12.4B5.A7.10B3.B.A.2A
$3.4A12B15.2B2A13B2.2B3.11B2.6B4.3B.B2A10.A10.4B14.4B4.2A5.8B8.A$.2A
2.BA3B2A7B10.2A.2A.28B2A13B.7B12.3A7.4B16.9B4.9B7.2A$A2.3AB.2B2A7B11.
A.A4.26B2A21B15.A5.4B18.6B5.10B$2A.A.B3.10B11.A.A6.46B15.2A4.4B19.8B
2.4B3.4B.2A$3.A8.8B11.A7.47B14.9B6.2A10.15B5.4B.A$3.2A7.8BA6.A10.50B
14.6B7.A11.14B5.B2A2B.A.2A$13.3B2.B2AB5.3A7.4B8.4B.13B3.B.19B2.2B2.B
3.6B5.2A.A11.13B7.2A2B2A.A2.A$11.5B3.ABAB7.A5.4B10.4B4.B.7B7.33B4.A2.
A10.2AB.10B11.3B.A.2A$11.2A7.4B5.2A4.4B12.4B19.6B.27B3.B2A10.A.AB3.B
2A3B10.2A5.A$12.A8.4B4.9B14.4B16.5B.B2.16B2A14B11.A6.B2A3B10.A5.2A$9.
3A10.4B5.6B16.4B15.2A7.16B2A13B11.2A6.4B14.A$9.A13.4B2.8B17.4B15.A8.
29B21.3B13.2A$24.15B16.4B11.3A16.2B.B.17B22.2B.BA$25.14B17.4B10.A17.
3B4.15B22.B2ABA.A$26.13B18.4B23.2A.2BA5.15B21.BABABA.A$27.10B.B2A17.
4B22.A.2BA.A5.13B20.A2.A.A.A.A.2A$29.3B2AB3.BA.A17.4B22.A2.BA.A2.13B
22.4A.2A2.A2.A$29.3B2AB6.A18.4B22.A3.A.A.2A4.8B25.A4.2A$31.4B6.2A18.
4B19.A.4A2.AB2A6.6B23.A.A$31.3B28.4B17.A.A3.A.A2.B8.5B23.2A$28.AB.2B
30.4B16.A.A2.A2.2A.2A9.B.B$27.A.AB2AB30.4B16.A3.2A2.A.A9.3B$27.A.ABAB
AB30.4B23.A.A9.B2AB$24.2A.A.A.A.A2.A29.4B23.A11.2A$24.A2.A2.2A.4A30.
4B$26.2A4.A35.3BA$32.A.A34.3BA$33.2A35.3AB!

[dvgrn]

What's the smallest resettable loop with a multiple-of-8 period?

Much better in this respect would be the p441 series...
EDIT: Other good options, p363...
And p418...

These are indeed all very nice, but they don't look like multiples of 8 to me. Maybe a good goal would be a script that builds reasonable-sized guns with four-digit prime periods, with as few parts as possible that need adjusting when the multiplier changes.

That would be the p392 I think...Although the channel where the glider is travelling SW already looks quite crowded and so tough to put a reset mechanism in there.

Seems easy enough to widen out the p392 until a reset mechanism will fit. (EDIT: But see my next post below -- I accidentally started from the wrong loop. 532 is 8N+4.) It turns out surprisingly well with a p532+8N base loop. Here is

... a sample p3086+8N (k=6): 137*75 = 10275
... converted to p3107 (k=3): 140*74 = 10360, by swapping semi-cenark for semi-Snark
... first prime is p3163 (A): 147*81 = 11907
... reduce using base-loop adjuster, p3163 (B): 143*77 = 11011 (5x reduction, -40 ticks per diagonal step)
... reverse reflectors, use 5x adjuster again, p3163 (C): 133*79 = 10507

They may not be optimal yet, but they're all an improvement again on the 12191-cell bounding box from my last post.

Code: Select all

#C p3086+8N and p3107+8N gun variants
x = 440, y = 345, rule = LifeHistory
292.2D3.D3.2D3.2D5.D2.2D2.D61.A2.2A$291.D2.D.2D2.D2.D.D2.D4.D.D2.D.D
61.4A.A$294.D2.D2.D7.D3.D2.D5.D65.A$292.2D3.D2.3D3.2D4.D2.D5.D58.7A.
2A$294.D2.D2.D2.D4.D3.D2.D5.D57.A2.B3.A.A2.A$291.D2.D2.D2.D2.D.D2.D4.
D.D2.D.D58.2A2.2A.AB2.2A$292.2D2.3D2.2D3.2D5.D2.2D2.D61.B2AB2A$383.5B
$384.3B$383.5B$382.4BAB$315.2A11.A45.2A6.3BABA2B$314.B2AB9.A.A45.A5.
4BABA2B$315.3B9.A.A2.2A3.A37.A.AB3.4BA2B$314.B.B9.2A.2A2.A2.A.A12.A
24.2AB.10B$314.5B8.B2.A.A3.A.A10.3A26.13B$314.6B6.2ABA2.4A.A10.A29.5B
3D6B$314.8B4.2A.A.A3.A12.2A17.A10.7BD7B$315.13B2.A.AB2.A9.4B17.3A10.
4BD3B2.4B$313.13B5.A.A2B.A7.3B22.A9.6B5.4B$312.15B3.B.A2B.2A7.4B20.2A
8.9B4.4B$312.15B3.4B10.5B8.2A10.6B3.2A2B4.2A5.4B$311.17B.4B11.6B8.A
12.5B.ABAB5.A7.4B$311.29B2.8B8.A.AB7.10BA7.3A5.4B$310.13B2A11BD14B8.
2AB.3B3.13B7.A6.4B$309.14B2A9B3D13B11.20B2A14.4B$308.2AB3.20BDBD4B.7B
12.20B2A15.4B12.2A$307.A2.A4.19BD15B12.20B17.4B10.A.A$306.A.2A5.6B3.B
2.2B2.19B11.21B18.4B4.2A2.A$306.A7.6B14.17B8.20B22.4B3.A2.A.2A$305.2A
6.9B14.15B.2B2.22B24.4B4.2A.A.A$312.4B4.2A15.22BD15B.4B23.4B4.B.BAB$
311.4B5.A16.8B.13BDBD4B.7B4.2A24.4B2.5B5.2A$310.4B7.3A11.8B3.2B2A9B3D
4B2.6B4.A26.9B6.A$309.4B10.A11.2A3.B5.2B2A11BD4B3.6B4.3A24.B2AD5B2.BA
.A$308.4B24.A10.18B6.4B6.A25.2ABD5B.B2A$307.4B22.3A12.B.3B.4B12.B2A2B
31.2B3D7B$306.4B23.A19.4B14.2A.B2A29.12B$305.4B43.4B18.BA.A28.12B$
304.4B37.2A4.4B22.A26.2AB.2B2A5B$303.4B37.B2AB2.4B11.2A10.2A.2A21.A.A
B2.ABA5B$302.4B25.2A12.3B.4B12.A12.A.2A21.A5.BA6B$301.4B26.2A13.B.4B
14.A11.A23.2A6.7B2.2A$300.4B34.3B.9B14.2A9.3A32.6B3.A$299.4B28.4A3.4B
3ABA4B14.B9.A36.7B.A.2A$299.4B28.A3.A2.4B4A6B11.3B9.2A10.2A22.4B2.2A.
2A.A$298.5B30.BA2B.7B3A4B9.6B5.5B10.A22.4B4.A$295.9B29.BABA14B7.10B3.
4B9.BA.A21.4B3.A.A$295.9B29.2B2A13B2.2B3.11B2.6B4.3B.B2A10.A10.4B4.2A
$295.9B24.2A.2A.28B2A13B.7B12.3A7.4B$295.10B24.A.A4.26B2A21B15.A5.4B$
294.12B23.A.A6.46B15.2A4.4B$293.13B8.2A14.A7.47B14.9B6.2A$294.11B9.A
22.50B14.6B7.A$295.12B4.BA.A21.4B8.4B.13B3.B.19B2.2B2.B3.6B5.2A.A$
295.15B.B2A10.A10.4B10.4B4.B.7B7.33B4.A2.A$295.17B12.3A7.4B12.4B19.6B
.27B3.B2A$295.17B15.A5.4B14.4B16.5B.B2.16B2A14B$292.B.17B15.2A4.4B16.
4B15.2A7.16B2A13B$291.2A19B14.9B6.2A10.4B15.A8.29B$291.2AB.19B14.6B7.
A12.4B11.3A16.2B.B.17B$292.B4.20B2.2B2.B3.6B5.2A.A13.4B10.A17.3B4.15B
$297.16BD19B4.A2.A15.4B23.2A.2BA5.15B$297.9B.4BDBD20B3.B2A17.4B22.A.
2BA.A5.13B$298.7B2.4B3D25B19.4B22.A2.BA.A2.13B$298.7B2.4BD26B21.4B22.
A3.A.A.2A4.8B$298.6B4.14B3A12B23.4B19.A.4A2.AB2A6.6B$298.7B10.4B.3BA
2B2A9B24.4B17.A.A3.A.A2.B8.5B$298.6B10.5B2.4BABA8B26.4B16.A.A2.A2.2A.
2A9.B.B$297.7B6.2A.2BA.2B2.15B27.4B16.A3.2A2.A.A9.3B$298.6B6.A.2BA.A
5.13B29.4B23.A.A9.B2AB$299.5B7.A2.BA.A2.13B32.4B23.A11.2A$299.6B7.A3.
A.A.2A4.8B32.4B$301.4B5.A.4A2.AB2A6.6B33.4B$300.B2A2B4.A.A3.A.A2.B8.
5B34.4B$301.2A6.A.A2.A2.2A.2A9.B.B35.4B$310.A3.2A2.A.A9.3B37.3BA$318.
A.A9.B2AB37.3BA$319.A11.2A39.3AB58$294.2D3.D3.2D3.2D5.D.3D2.D71.2A$
293.D2.D.2D2.D2.D.D2.D4.D.D2.D.D71.A$296.D2.D2.D7.D3.D2.D2.D2.D58.A
12.A$294.2D3.D2.3D3.2D4.D2.4D2.D58.3A7.4A$296.D2.D2.D2.D4.D3.D2.D2.D
2.D61.A6.A$293.D2.D2.D2.D2.D.D2.D4.D.D2.D.D61.2A8.B3A$294.2D2.3D2.2D
3.2D5.D.3D2.D61.5B5.BA2.A$386.9B2.2A$376.2A2.AB3.10B$376.A2.A.AB.12B$
315.2A11.A48.A.2A16B$314.B2AB9.A.A48.A3.16B$315.3B9.A.A2.2A3.A41.2A8B
2A3B.4B$314.B.B9.2A.2A2.A2.A.A12.A28.A.3B2D2BABAB3.4B$314.5B8.B2.A.A
3.A.A10.3A26.A4.BDBD3BAB5.4B$314.6B6.2ABA2.4A.A10.A29.2A3.3BD3B8.4B$
314.8B4.2A.A.A3.A12.2A17.A14.7B10.4B$315.13B2.A.AB2.A9.4B17.3A11.4B.
5B9.4B$313.13B5.A.A2B.A7.3B22.A9.4B5.2A10.4B$312.15B3.B.A2B.2A7.4B20.
2A8.4B6.A12.4B$312.15B3.4B10.5B8.2A10.6B3.4B8.3A10.4B$311.17B.4B11.6B
8.A12.5B.4B11.A11.4B$311.29B2.8B8.A.AB7.11B25.4B$310.13B2A11BD14B8.2A
B.3B3.13B24.4B13.A$309.14B2A9B3D13B11.20B2A24.4B10.3A$308.2AB3.20BDBD
4B.7B12.20B2A25.4B8.A$307.A2.A4.19BD15B12.20B27.4B7.2A$306.A.2A5.6B3.
B2.2B2.19B11.21B28.4B3.5B$306.A7.6B14.17B8.20B32.4B2.3B9.2A$305.2A6.
9B14.15B.2B2.22B34.9B8.A.A$312.4B4.2A15.22BD15B.4B33.8B.B8.A$311.4B5.
A16.8B.13BDBD4B.7B4.2A34.11B3.B.BA.2A$310.4B7.3A11.8B3.2B2A9B3D4B2.6B
4.A35.4BD7B.B2A.A.A$309.4B10.A11.2A3.B5.2B2A11BD4B3.6B4.3A32.2BDBD9B
2A.A.A$308.4B24.A10.18B6.4B6.A32.3B2D3B2A5B2.A.2A$307.4B22.3A12.B.3B.
4B12.B2A2B37.2AB.5BA2BA3B4A2.A$306.4B23.A19.4B14.2A.B2A34.A.AB.6B2A2B
.BAB2.2A$305.4B43.4B18.BA.A33.A5.7B6.2A$304.4B37.2A4.4B22.A32.2A5.4B.
2B7.A$303.4B37.B2AB2.4B11.2A10.2A.2A34.4B9.A$302.4B25.2A12.3B.4B12.A
12.A.2A33.4B10.2A$301.4B26.2A13.B.4B14.A11.A35.4B$300.4B34.3B.9B14.2A
9.3A34.4B$300.4B27.4A3.13B14.B9.A36.4B$299.5B27.A3.A2.14B11.3B9.2A10.
2A22.4B$296.9B28.BA2B.14B9.6B5.5B10.A22.4B$296.9B28.BABA14B7.10B3.4B
9.BA.A21.4B$296.9B28.2B2A13B2.2B3.11B2.6B4.3B.B2A10.A10.4B$296.10B22.
2A.2A.28B2A13B.7B12.3A7.4B$295.12B22.A.A4.26B2A21B15.A5.4B$294.13B8.
2A12.A.A6.46B15.2A4.4B$295.11B9.A14.A7.47B14.9B6.2A$296.12B4.BA.A21.
50B14.6B7.A$296.15B.B2A10.A10.4B8.4B.13B3.B.19B2.2B2.B3.6B5.2A.A$296.
17B12.3A7.4B10.4B4.B.7B7.33B4.A2.A$296.17B15.A5.4B12.4B19.6B.27B3.B2A
$293.B.17B15.2A4.4B14.4B16.5B.B2.16B2A14B$292.2A19B14.9B6.2A8.4B15.2A
7.16B2A13B$292.2AB.19B14.6B7.A10.4B15.A8.29B$293.B4.20B2.2B2.B3.6B5.
2A.A11.4B11.3A16.2B.B.17B$298.16BD19B4.A2.A13.4B10.A17.3B4.15B$298.9B
.4BDBD20B3.B2A15.4B23.2A.2BA5.15B$299.7B2.4B3D25B17.4B22.A.2BA.A5.13B
$299.7B2.4BD26B19.4B22.A2.BA.A2.13B$299.6B4.14B3A12B21.4B22.A3.A.A.2A
4.8B$299.7B10.4B.3BA2B2A9B22.4B19.A.4A2.AB2A6.6B$299.6B10.5B2.4BABA8B
24.4B17.A.A3.A.A2.B8.5B$298.7B6.2A.2BA.2B2.15B25.4B16.A.A2.A2.2A.2A9.
B.B$299.6B6.A.2BA.A5.13B27.4B16.A3.2A2.A.A9.3B$300.5B7.A2.BA.A2.13B
30.4B23.A.A9.B2AB$300.6B7.A3.A.A.2A4.8B30.4B23.A11.2A$302.4B5.A.4A2.A
B2A6.6B31.4B$301.B2A2B4.A.A3.A.A2.B8.5B32.4B$302.2A6.A.A2.A2.2A.2A9.B
.B33.4B$311.A3.2A2.A.A9.3B35.3BA$319.A.A9.B2AB35.3BA$320.A11.2A37.3AB
49$294.2D3.D3.2D3.2D5.D2.2D2.D76.2A$293.D2.D.2D2.D2.D.D2.D4.D.D2.D.D
76.A$296.D2.D2.D7.D3.D2.D2.D2.D63.A12.A$294.2D3.D2.3D3.2D4.D2.4D2.D
63.3A7.4A$296.D2.D2.D2.D4.D3.D2.D2.D2.D66.A6.A$293.D2.D2.D2.D2.D.D2.D
4.D.D2.D.D66.2A8.B3A$294.2D2.3D2.2D3.2D5.D.D2.D.D66.5B5.BA2.A$391.9B
2.2A$381.2A2.AB3.10B$.2D3.2D3.2D3.3D70.2A290.A2.A.AB.12B$D2.D.D2.D.D
2.D.D73.A.A54.2D3.D3.2D2.4D81.2A136.A.2A16B$3.D.D2.D.D2.D.D75.A4.2A
47.D2.D.2D2.D2.D4.D81.A138.A3.16B$.2D2.D2.D2.2D2.3D69.4A.2A2.A2.A48.D
2.D2.D2.D4.D69.A12.A138.2A8B2A3B.4B$3.D.D2.D.D2.D.D2.D62.2A4.A2.A.A.A
.A.2A46.2D3.D2.D2.D3.D70.3A7.4A139.A.3B2D2BABAB3.4B$D2.D.D2.D.D2.D.D
2.D62.A7.BABABA.A51.D2.D2.D2.D3.D73.A6.A140.A4.BDBD3BAB5.4B$.2D3.2D3.
2D3.2D65.A6.B2ABA.A48.D2.D2.D2.D2.D2.D73.2A8.B3A67.2A11.A54.2A3.3BD3B
8.4B$79.5A7.2B.BA50.2D2.3D2.2D3.D73.5B5.BA2.A65.B2AB9.A.A57.7B10.4B$
79.A10.3B143.9B2.2A66.3B9.A.A2.2A3.A48.4B.5B9.4B$22.2A11.A45.B4A3.4B
74.2A11.A45.2A2.AB3.10B69.B.B9.2A.2A2.A2.A.A12.A33.4B5.2A10.4B$21.B2A
B9.A.A44.BA2.A3.B2A3B71.B2AB9.A.A44.A2.A.AB.12B68.5B8.B2.A.A3.A.A10.
3A32.4B6.A12.4B$22.3B9.A.A2.2A3.A36.4B4.B2A5B70.3B9.A.A2.2A3.A37.A.2A
16B67.6B6.2ABA2.4A.A10.A34.4B8.3A10.4B$21.B.B9.2A.2A2.A2.A.A12.A18.2A
3.15B69.B.B9.2A.2A2.A2.A.A12.A24.A3.16B66.8B4.2A.A.A3.A12.2A17.A14.4B
11.A11.4B$21.5B8.B2.A.A3.A.A10.3A18.A2.A.2A14B68.5B8.B2.A.A3.A.A10.3A
25.2A8B2A3B.4B66.13B2.A.AB2.A9.4B17.3A11.4B25.4B$21.6B6.2ABA2.4A.A10.
A23.2A.2A4BAB3D6B67.6B6.2ABA2.4A.A10.A29.A.3B2D2BABAB3.4B63.13B5.A.A
2B.A7.3B22.A9.4B27.4B13.A$21.8B4.2A.A.A3.A12.2A17.A8.B.3BA3BD7B66.8B
4.2A.A.A3.A12.2A17.A8.A4.BDBD3BAB5.4B61.15B3.B.A2B.2A7.4B20.2A8.4B29.
4B10.3A$22.13B2.A.AB2.A9.4B17.3A9.5BD3B2.4B66.13B2.A.AB2.A9.4B17.3A6.
2A3.3BD3B8.4B60.15B3.4B10.5B8.2A10.6B3.4B31.4B8.A$20.13B5.A.A2B.A7.3B
22.A8.7B5.4B63.13B5.A.A2B.A7.3B22.A9.7B10.4B58.17B.4B11.6B8.A12.5B.4B
33.4B7.2A$19.15B3.B.A2B.2A7.4B20.2A8.9B4.4B61.15B3.B.A2B.2A7.4B20.2A
8.4B.5B9.4B57.29B2.8B8.A.AB7.11B35.4B3.5B$19.15B3.4B10.5B8.2A10.6B3.
4B4.2A5.4B60.15B3.4B10.5B8.2A10.6B3.4B5.2A10.4B55.13B2A11BD14B8.2AB.
3B3.13B34.4B2.3B9.2A$18.17B.4B11.6B8.A12.5B.4B5.A7.4B58.17B.4B11.6B8.
A12.5B.4B6.A12.4B53.14B2A9B3D13B11.20B2A34.9B8.A.A$18.29B2.8B8.A.AB7.
11B7.3A5.4B57.29B2.8B8.A.AB7.11B8.3A10.4B51.2AB3.20BDBD4B.7B12.20B2A
35.8B.B8.A$17.13B2A11BD14B8.2AB.3B3.13B7.A6.4B55.13B2A11BD14B8.2AB.3B
3.13B8.A11.4B49.A2.A4.19BD15B12.20B37.11B3.B.BA.2A$16.14B2A9B3D13B11.
20B2A14.4B53.14B2A9B3D13B11.20B2A20.4B47.A.2A5.6B3.B2.2B2.19B11.21B
37.4BD7B.B2A.A.A$15.2AB3.20BDBD4B.7B12.20B2A15.4B51.2AB3.20BDBD4B.7B
12.20B2A21.4B13.A32.A7.6B14.17B8.20B40.2BDBD9B2A.A.A$14.A2.A4.19BD15B
12.20B17.4B49.A2.A4.19BD15B12.20B23.4B10.3A31.2A6.9B14.15B.2B2.22B41.
3B2D3B2A5B2.A.2A$13.A.2A5.6B3.B2.2B2.19B11.21B18.4B47.A.2A5.6B3.B2.2B
2.19B11.21B24.4B8.A41.4B4.2A15.22BD15B.4B37.2AB.5BA2BA3B4A2.A$13.A7.
6B14.17B8.20B22.4B13.A32.A7.6B14.17B8.20B28.4B7.2A39.4B5.A16.8B.13BDB
D4B.7B4.2A36.A.AB.6B2A2B.BAB2.2A$12.2A6.9B14.15B.2B2.22B24.4B10.3A31.
2A6.9B14.15B.2B2.22B30.4B3.5B38.4B7.3A11.8B3.2B2A9B3D4B2.6B4.A37.A5.
7B6.2A$19.4B4.2A15.22BD15B.4B23.4B8.A41.4B4.2A15.22BD15B.4B29.4B2.3B
9.2A28.4B10.A11.2A3.B5.2B2A11BD4B3.6B4.3A33.2A5.4B.2B7.A$18.4B5.A16.
8B.13BDBD4B.7B4.2A24.4B7.2A39.4B5.A16.8B.13BDBD4B.7B4.2A30.9B8.A.A26.
4B24.A10.18B6.4B6.A39.4B9.A$17.4B7.3A11.8B3.2B2A9B3D4B2.6B4.A26.4B3.
5B38.4B7.3A11.8B3.2B2A9B3D4B2.6B4.A32.8B.B8.A25.4B22.3A12.B.3B.4B12.B
2A2B45.4B10.2A$16.4B10.A11.2A3.B5.2B2A11BD4B3.6B4.3A24.4B2.3B9.2A28.
4B10.A11.2A3.B5.2B2A11BD4B3.6B4.3A30.11B3.B.BA.2A21.4B23.A19.4B14.2A.
B2A42.4B$15.4B24.A10.18B6.4B6.A25.9B8.A.A26.4B24.A10.18B6.4B6.A30.4BD
7B.B2A.A.A21.4B43.4B18.BA.A40.4B$14.4B22.3A12.B.3B.4B12.B2A2B33.8B.B
8.A25.4B22.3A12.B.3B.4B12.B2A2B37.2BDBD9B2A.A.A20.4B37.2A4.4B22.A39.
4B$13.4B23.A19.4B14.2A.B2A32.11B3.B.BA.2A21.4B23.A19.4B14.2A.B2A35.3B
2D3B2A5B2.A.2A18.4B37.B2AB2.4B11.2A10.2A.2A34.4B$12.4B43.4B18.BA.A31.
4BD7B.B2A.A.A21.4B43.4B18.BA.A32.2AB.5BA2BA3B4A2.A17.4B25.2A12.3B.4B
12.A12.A.2A33.4B$11.4B37.2A4.4B22.A31.2BDBD9B2A.A.A20.4B37.2A4.4B22.A
31.A.AB.6B2A2B.BAB2.2A17.4B26.2A13.B.4B14.A11.A35.4B$10.4B37.B2AB2.4B
11.2A10.2A.2A27.3B2D3B2A5B2.A.2A18.4B37.B2AB2.4B11.2A10.2A.2A27.A5.7B
6.2A19.4B33.3B.9B14.2A9.3A34.4B$9.4B25.2A12.2AB.4B12.A12.A.2A25.2AB.
5BA2BA3B4A2.A17.4B25.2A12.3B.4B12.A12.A.2A26.2A5.4B.2B7.A18.5B26.4A3.
13B14.B9.A36.4B$8.4B26.2A13.A.4B14.A11.A27.A.AB.6B2A2B.BAB2.2A17.4B
26.2A13.B.4B14.A11.A35.4B9.A17.9B25.A3.A2.14B11.3B9.2A10.2A22.4B$8.4B
33.3B.3B3A3B14.2A9.3A27.A5.7B6.2A19.4B33.3B.9B14.2A9.3A34.4B10.2A16.
9B27.BA2B.14B9.6B5.5B10.A22.4B$7.5B26.4A3.6B2AB2A2B14.B9.A29.2A5.4B.
2B7.A18.5B26.4A3.13B14.B9.A36.4B29.9B27.BABA14B7.10B3.4B9.BA.A21.4B$
4.9B25.A3.A2.5B3AB3A2B11.3B9.2A10.2A22.4B9.A17.9B25.A3.A2.14B11.3B9.
2A10.2A22.4B30.10B26.2B2A13B2.2B3.11B2.6B4.3B.B2A10.A10.4B$4.9B27.BA
2B.6B2AB2A3B9.6B5.5B10.A22.4B10.2A16.9B27.BA2B.14B9.6B5.5B10.A22.4B
30.12B20.2A.2A.28B2A13B.7B12.3A7.4B$4.9B27.BABA8B3A3B7.10B3.4B9.BA.A
21.4B29.9B27.BABA14B7.10B3.4B9.BA.A21.4B30.13B8.2A11.A.A4.26B2A21B15.
A5.4B$4.10B26.2B2A9BA3B2.2B3.11B2.6B4.3B.B2A10.A10.4B30.10B26.2B2A13B
2.2B3.11B2.6B4.3B.B2A10.A10.4B32.11B9.A12.A.A6.46B15.2A4.4B$3.12B20.
2A.2A.28B2A13B.7B12.3A7.4B30.12B20.2A.2A.28B2A13B.7B12.3A7.4B34.12B4.
BA.A13.A7.47B14.9B6.2A$2.13B8.2A11.A.A4.26B2A21B15.A5.4B30.13B8.2A11.
A.A4.26B2A21B15.A5.4B35.15B.B2A10.A10.50B14.6B7.A$3.11B9.A12.A.A6.46B
15.2A4.4B32.11B9.A12.A.A6.46B15.2A4.4B36.17B12.3A7.4B8.4B.13B3.B.19B
2.2B2.B3.6B5.2A.A$4.12B4.BA.A13.A7.47B14.9B6.2A26.12B4.BA.A13.A7.47B
14.9B6.2A29.17B15.A5.4B10.4B4.B.7B7.33B4.A2.A$4.15B.B2A10.A10.50B14.
6B7.A27.15B.B2A10.A10.50B14.6B7.A27.B.17B15.2A4.4B12.4B19.6B.27B3.B2A
$4.17B12.3A7.4B8.4B.13B3.B.19B2.2B2.B3.6B5.2A.A27.17B12.3A7.4B8.4B.
13B3.B.19B2.2B2.B3.6B5.2A.A26.2A19B14.9B6.2A6.4B16.5B.B2.16B2A14B$4.
17B15.A5.4B10.4B4.B.7B7.33B4.A2.A28.17B15.A5.4B10.4B4.B.7B7.33B4.A2.A
27.2AB.19B14.6B7.A8.4B15.2A7.16B2A13B$.B.17B15.2A4.4B12.4B19.6B.27B3.
B2A26.B.17B15.2A4.4B12.4B19.6B.27B3.B2A29.B4.20B2.2B2.B3.6B5.2A.A9.4B
15.A8.29B$2A19B14.9B6.2A6.4B16.5B.B2.16B2A14B26.2A19B14.9B6.2A6.4B16.
5B.B2.16B2A14B35.16BD19B4.A2.A11.4B11.3A16.2B.B.17B$2AB.19B14.6B7.A8.
4B15.2A7.16B2A13B27.2AB.19B14.6B7.A8.4B15.2A7.16B2A13B36.9B.4BDBD20B
3.B2A13.4B10.A17.3B4.15B$.B4.20B2.2B2.B3.6B5.2A.A9.4B15.A8.29B29.B4.
20B2.2B2.B3.6B5.2A.A9.4B15.A8.29B38.7B2.4B3D25B15.4B23.2A.2BA5.15B$6.
16BD19B4.A2.A11.4B11.3A16.2B.B.17B34.16BD19B4.A2.A11.4B11.3A16.2B.B.
17B38.7B2.4BD26B17.4B22.A.2BA.A5.13B$6.9B.4BDBD20B3.B2A13.4B10.A17.3B
4.15B35.9B.4BDBD20B3.B2A13.4B10.A17.3B4.15B39.6B4.14B3A12B19.4B22.A2.
BA.A2.13B$7.7B2.4B3D25B15.4B23.2A.2BA5.15B36.7B2.4B3D25B15.4B23.2A.2B
A5.15B39.7B10.4B.3BA2B2A9B20.4B22.A3.A.A.2A4.8B$7.7B2.4BD26B17.4B22.A
.2BA.A5.13B37.7B2.4BD26B17.4B22.A.2BA.A5.13B40.6B10.5B2.4BABA8B22.4B
19.A.4A2.AB2A6.6B$7.6B4.14B3A12B19.4B22.A2.BA.A2.13B39.6B4.14B3A12B
19.4B22.A2.BA.A2.13B41.7B6.2A.2BA.2B2.15B23.4B17.A.A3.A.A2.B8.5B$7.7B
10.4B.3BA2B2A9B20.4B22.A3.A.A.2A4.8B38.7B10.4B.3BA2B2A9B20.4B22.A3.A.
A.2A4.8B41.6B6.A.2BA.A5.13B25.4B16.A.A2.A2.2A.2A9.B.B$7.6B10.5B2.4BAB
A8B22.4B19.A.4A2.AB2A6.6B38.6B10.5B2.4BABA8B22.4B19.A.4A2.AB2A6.6B42.
5B7.A2.BA.A2.13B28.4B16.A3.2A2.A.A9.3B$6.7B6.2A.2BA.2B2.15B23.4B17.A.
A3.A.A2.B8.5B37.7B6.2A.2BA.2B2.15B23.4B17.A.A3.A.A2.B8.5B42.6B7.A3.A.
A.2A4.8B28.4B23.A.A9.B2AB$7.6B6.A.2BA.A5.13B25.4B16.A.A2.A2.2A.2A9.B.
B38.6B6.A.2BA.A5.13B25.4B16.A.A2.A2.2A.2A9.B.B44.4B5.A.4A2.AB2A6.6B
29.4B23.A11.2A$8.5B7.A2.BA.A2.13B28.4B16.A3.2A2.A.A9.3B40.5B7.A2.BA.A
2.13B28.4B16.A3.2A2.A.A9.3B44.B2A2B4.A.A3.A.A2.B8.5B30.4B$8.6B7.A3.A.
A.2A4.8B28.4B23.A.A9.B2AB39.6B7.A3.A.A.2A4.8B28.4B23.A.A9.B2AB44.2A6.
A.A2.A2.2A.2A9.B.B31.4B$10.4B5.A.4A2.AB2A6.6B29.4B23.A11.2A42.4B5.A.
4A2.AB2A6.6B29.4B23.A11.2A54.A3.2A2.A.A9.3B33.3BA$9.B2A2B4.A.A3.A.A2.
B8.5B30.4B77.B2A2B4.A.A3.A.A2.B8.5B30.4B98.A.A9.B2AB33.3BA$10.2A6.A.A
2.A2.2A.2A9.B.B31.4B77.2A6.A.A2.A2.2A.2A9.B.B31.4B98.A11.2A35.3AB$19.
A3.2A2.A.A9.3B33.3BA85.A3.2A2.A.A9.3B33.3BA$27.A.A9.B2AB33.3BA92.A.A
9.B2AB33.3BA$28.A11.2A35.3AB92.A11.2A35.3AB!

EDIT: Another random example, made by swapping in a different-color H-to-G with the opposite parity T value (HNE8T3 instead of HNE5T-4), and trying a 4x multiplier instead of 6x. This is a k=5 series with an even smaller bounding box -- 131*78 = 10218 cells for the p2005, and only one cell bigger in each dimension to get to 2005+24 = 2029 (because the change in the multiplier means that adjusting the base loop now makes a 3*8=24 difference, instead of 5*8=40).

Code: Select all

#C p2005+8N gun, adjusted to first prime at p2029
x = 266, y = 79, rule = LifeHistory
136.2D3.2D3.2D3.2D$.2D3.2D3.2D2.4D77.A38.D2.D.D2.D.D2.D.D2.D77.A$D2.D
.D2.D.D2.D.D78.3A41.D.D2.D4.D.D2.D75.3A$3.D.D2.D.D2.D.D77.A44.D.D2.D
4.D2.3D74.A$3.D.D2.D.D2.D.3D68.A6.2A42.D2.D2.D3.D5.D67.A6.2A$2.D2.D2.
D.D2.D4.D66.A.A3.4B41.D3.D2.D2.D6.D66.A.A3.4B$.D3.D2.D.D2.D.D2.D67.A.
5B42.4D2.2D2.4D.3D68.A.5B$4D2.2D3.2D3.2D69.7B128.7B$87.4B2A4B.B123.4B
2A4B.B$87.4B2A3B.B2A122.4B2A3B.B2A$87.11B2A122.11B2A$87.9B.2B123.9B.
2B$22.2A11.A46.2B2.10B61.2A11.A46.2B2.10B$21.B2AB9.A.A44.2A13B60.B2AB
9.A.A44.2A13B$22.3B9.A.A2.2A3.A36.2A7B3D3B61.3B9.A.A2.2A3.A36.2A7B3D
3B$21.B.B9.2A.2A2.A2.A.A12.A23.2B.7BD3B60.B.B9.2A.2A2.A2.A.A12.A23.2B
.7BD3B$21.5B8.B2.A.A3.A.A10.3A26.6BD2B.B2A58.5B8.B2.A.A3.A.A10.3A26.
6BD2B.B2A$21.6B6.2ABA2.4A.A10.A31.7B.BA.A57.6B6.2ABA2.4A.A10.A31.7B.B
A.A$21.8B4.2A.A.A3.A12.2A29.2A5B5.A57.8B4.2A.A.A3.A12.2A29.7B5.A$22.
13B2.A.AB2.A9.4B17.A10.2B2A4B5.2A57.13B2.A.AB2.A9.4B17.A10.8B5.2A$20.
13B5.A.A2B.A7.3B19.3A7.2BAB2.4B61.13B5.A.A2B.A7.3B19.3A7.2A2B2.4B$19.
15B3.B.A2B.2A7.4B21.A5.4B4.4B59.15B3.B.A2B.2A7.4B21.A5.2B2A4.4B$19.
15B3.4B10.5B8.2A10.2A4.4B6.4B58.15B3.4B10.5B8.2A10.2A4.2BAB6.4B$18.
17B.4B11.6B8.A10.9B8.4B56.17B.4B11.6B8.A10.9B8.4B$18.29B2.8B8.A.AB9.
6B3.2A5.4B55.29B2.8B8.A.AB9.6B3.2A5.4B$17.13B2A11BD14B8.2AB.3B4.6B4.A
7.4B53.13B2A11BD14B8.2AB.3B4.6B4.A7.4B$16.14B2A9B3D13B11.7B.7B.BA.A8.
4B51.14B2A9B3D13B11.7B.7B.BA.A8.4B$15.2AB3.20BDBD4B.7B12.15B.B2A10.4B
49.2AB3.20BDBD4B.7B12.15B.B2A10.4B$14.A2.A4.19BD15B12.16B13.4B47.A2.A
4.19BD15B12.16B13.4B$13.A.2A5.6B3.B2.2B2.19B11.18B13.4B45.A.2A5.6B3.B
2.2B2.19B11.18B13.4B$13.A7.6B14.17B8.19B15.4B13.2A29.A7.6B14.17B8.19B
15.4B13.2A$12.2A6.9B14.15B.2B2.20B.B2A14.4B13.A28.2A6.9B14.15B.2B2.
20B.B2A14.4B13.A$19.4B4.2A15.22BD13B4.BA.A14.4B10.A5.2A30.4B4.2A15.
22BD13B4.BA.A14.4B10.A5.2A$18.4B5.A16.8B.13BDBD4B.7B6.A15.4B9.2A5.A
29.4B5.A16.8B.13BDBD4B.7B6.A15.4B9.2A5.A$17.4B7.3A11.8B3.2B2A9B3D4B2.
B.2B.B2A4.2A15.4B11.3B.A.2A25.4B7.3A11.8B3.2B2A9B3D4B2.B.2B.B2A4.2A
15.4B11.3B.A.2A$16.4B10.A11.2A3.B5.2B2A11BD4B7.BA.A21.4B7.2A2B2A.A2.A
24.4B10.A11.2A3.B5.2B2A11BD4B7.BA.A21.4B7.2A2B2A.A2.A$15.4B24.A10.18B
11.A22.4B5.B2A2B.A.2A25.4B24.A10.18B11.A22.4B5.B2A2B.A.2A$14.4B22.3A
12.B.3B.4B18.2A22.4B5.4B.A27.4B22.3A12.B.3B.4B18.2A22.4B5.4B.A$13.4B
23.A19.4B44.4B3.4B.2A26.4B23.A19.4B44.4B3.4B.2A$12.4B43.4B46.6BA3B28.
4B43.4B46.6BA3B$11.4B37.2A4.4B48.4BABA2B7.2A18.4B37.2A4.4B48.4BABA2B
7.2A$10.4B37.B2AB2.4B11.2A37.4BA3B8.A17.4B37.B2AB2.4B11.2A37.4BA3B8.A
$9.4B25.2A12.3B.4B12.A39.10B3.B.A.2A13.4B25.2A12.3B.4B12.A39.10B3.B.A
.2A$8.4B26.2A13.B.4B14.A11.A26.4BD2B2A2B.B3A2.A12.4B26.2A13.B.A3B14.A
11.A26.4BD2B2A2B.B3A2.A$8.4B33.3B.9B14.2A9.3A26.2BDBD2B2A3BAB2.2A12.
4B34.3B.6BABA14.2A9.3A26.2BDBD2B2A3BAB2.2A$7.5B26.4A3.4B2A2BA4B14.B9.
A29.3B2D7B4A14.4B27.4A3.4B2A4B2AB14.B9.A29.3B2D7B4A$4.9B25.A3.A2.4B2A
2BABA3B11.3B9.2A10.2A14.2AB.7B3.2B.A13.5B27.A3.A2.4B2A8B11.3B9.2A10.
2A14.2AB.7B3.2B.A$4.9B27.BA2B.8B2A4B9.6B5.5B10.A10.2A2.A.AB.7B2.B3A
11.9B28.BA2B.14B9.6B5.5B10.A10.2A2.A.AB.7B2.B3A$4.9B27.BABA14B7.10B3.
4B9.BA.A11.A2.A5.5B3.A14.9B28.BABA14B7.10B3.4B9.BA.A11.A2.A5.5B3.A$4.
10B26.2B2A13B2.2B3.11B2.6B4.3B.B2A10.A2.3A5.5B4.5A9.9B28.2B2A13B2.2B
3.11B2.6B4.3B.B2A10.A2.3A5.5B4.5A$3.12B20.2A.2A.28B2A13B.7B12.3A7.4B
10.A9.10B22.2A.2A.28B2A13B.7B12.3A7.4B10.A$2.13B8.2A11.A.A4.26B2A21B
15.A5.4B9.A10.12B22.A.A4.26B2A21B15.A5.4B9.A$3.11B9.A12.A.A6.46B15.2A
4.4B10.2A8.13B8.2A12.A.A6.46B15.2A4.4B10.2A$4.12B4.BA.A13.A7.47B14.9B
6.2A14.11B9.A14.A7.47B14.9B6.2A$4.15B.B2A10.A10.50B14.6B7.A16.12B4.BA
.A21.50B14.6B7.A$4.17B12.3A7.4B8.4B.13B3.B.19B2.2B2.B3.6B5.2A.A16.15B
.B2A10.A10.4B8.4B.13B3.B.19B2.2B2.B3.6B5.2A.A$4.17B15.A5.4B10.4B4.B.
7B7.33B4.A2.A17.17B12.3A7.4B10.4B4.B.7B7.33B4.A2.A$.B.17B15.2A4.4B12.
4B19.6B.27B3.B2A18.17B15.A5.4B12.4B19.6B.27B3.B2A$2A19B14.9B6.2A6.4B
16.5B.B2.16B2A14B16.B.17B15.2A4.4B14.4B16.5B.B2.16B2A14B$2AB.19B14.6B
7.A8.4B15.2A7.16B2A13B16.2A19B14.9B6.2A8.4B15.2A7.16B2A13B$.B4.20B2.
2B2.B3.6B5.2A.A9.4B15.A8.29B17.2AB.19B14.6B7.A10.4B15.A8.29B$6.16BD
19B4.A2.A11.4B11.3A16.2B.B.17B18.B4.20B2.2B2.B3.6B5.2A.A11.4B11.3A16.
2B.B.17B$6.9B.4BDBD20B3.B2A13.4B10.A17.3B4.15B24.16BD19B4.A2.A13.4B
10.A17.3B4.15B$7.7B2.4B3D9BA15B15.4B23.2A.2BA5.15B24.9B.4BDBD20B3.B2A
15.4B23.2A.2BA5.15B$7.7B2.4BD10B3A13B17.4B22.A.2BA.A5.13B26.7B2.4B3D
25B17.4B22.A.2BA.A5.13B$7.6B4.15BABA11B19.4B22.A2.BA.A2.13B28.7B2.4BD
26B19.4B22.A2.BA.A2.13B$7.7B10.4B.7B2A8B20.4B22.A3.A.A.2A4.8B27.6B4.
14B3A12B21.4B22.A3.A.A.2A4.8B$7.6B10.5B2.5BA9B22.4B19.A.4A2.AB2A6.6B
27.7B10.4B.3BA2B2A9B22.4B19.A.4A2.AB2A6.6B$6.7B6.2A.2BA.2B2.15B23.4B
17.A.A3.A.A2.B8.5B27.6B10.5B2.4BABA8B24.4B17.A.A3.A.A2.B8.5B$7.6B6.A.
2BA.A5.13B25.4B16.A.A2.A2.2A.2A9.B.B26.7B6.2A.2BA.2B2.15B25.4B16.A.A
2.A2.2A.2A9.B.B$8.5B7.A2.BA.A2.13B28.4B16.A3.2A2.A.A9.3B28.6B6.A.2BA.
A5.13B27.4B16.A3.2A2.A.A9.3B$8.6B7.A3.A.A.2A4.8B28.4B23.A.A9.B2AB28.
5B7.A2.BA.A2.13B30.4B23.A.A9.B2AB$10.4B5.A.4A2.AB2A6.6B29.4B23.A11.2A
29.6B7.A3.A.A.2A4.8B30.4B23.A11.2A$9.B2A2B4.A.A3.A.A2.B8.5B30.4B67.4B
5.A.4A2.AB2A6.6B31.4B$10.2A6.A.A2.A2.2A.2A9.B.B31.4B65.B2A2B4.A.A3.A.
A2.B8.5B32.4B$19.A3.2A2.A.A9.3B33.4B65.2A6.A.A2.A2.2A.2A9.B.B33.4B$
27.A.A9.B2AB33.3BA73.A3.2A2.A.A9.3B35.3BA$28.A11.2A35.3BA80.A.A9.B2AB
35.3BA$78.3A81.A11.2A37.3AB!

k=1 is also possible from the same template, just by switching the color-preserving reflector with the color-changing reflector, to change the reset path length by 4 ticks.

Code: Select all

#C p2065+8N gun, adjusted to first prime at p2081
x = 292, y = 80, rule = LifeHistory
240.2A$2.2D3.2D3.3D.4D131.2D3.2D3.2D3.D73.A.A$.D2.D.D2.D.D4.D72.2A59.
D2.D.D2.D.D2.D.2D75.A4.2A$4.D.D2.D.D4.D72.A.A61.D.D2.D.D2.D2.D71.4A.
2A2.A2.A$4.D.D2.D.3D2.3D72.A4.2A55.D.D2.D.3D3.D65.2A4.A2.A.A.A.A.2A$
3.D2.D2.D.D2.D4.D67.4A.2A2.A2.A52.D2.D2.D.D2.D2.D65.A7.BABABA.A$2.D3.
D2.D.D2.D.D2.D61.2A4.A2.A.A.A.A.2A51.D3.D2.D.D2.D2.D67.A6.B2ABA.A$.4D
2.2D3.2D3.2D62.A7.BABABA.A53.4D2.2D3.2D2.3D62.5A7.2B.BA$83.A6.B2ABA.A
133.A10.3B$79.5A7.2B.BA136.B4A3.4B$79.A10.3B139.BA2.A3.B2A3B$81.B4A3.
4B139.4B4.B2A5B$81.BA2.A3.B2A3B133.2A3.15B$23.2A11.A44.4B4.B2A5B75.2A
11.A42.A2.A.2A14B$22.B2AB9.A.A39.2A3.15B74.B2AB9.A.A43.2A.2A6B3D6B$
23.3B9.A.A2.2A3.A31.A2.A.2A14B74.3B9.A.A2.2A3.A39.B.7BD7B$22.B.B9.2A.
2A2.A2.A.A12.A19.2A.2A6B3D6B72.B.B9.2A.2A2.A2.A.A12.A28.5BD3B2.4B$22.
5B8.B2.A.A3.A.A10.3A23.B.7BD7B71.5B8.B2.A.A3.A.A10.3A28.7B5.4B$22.6B
6.2ABA2.4A.A10.A29.5BD3B2.4B70.6B6.2ABA2.4A.A10.A31.9B4.4B$22.8B4.2A.
A.A3.A12.2A28.7B5.4B69.8B4.2A.A.A3.A12.2A29.4B4.2A5.4B$23.13B2.A.AB2.
A9.4B17.A10.9B4.4B69.13B2.A.AB2.A9.4B17.A10.4B5.A7.4B$21.13B5.A.A2B.A
7.3B19.3A7.4B4.2A5.4B66.13B5.A.A2B.A7.3B19.3A7.4B7.3A5.4B$20.15B3.B.A
2B.2A7.4B21.A5.4B5.A7.4B64.15B3.B.A2B.2A7.4B21.A5.4B10.A6.4B$20.15B3.
4B10.5B8.2A10.2A4.4B7.3A5.4B63.15B3.4B10.5B8.2A10.2A4.4B19.4B$19.17B.
4B11.6B8.A10.9B10.A6.4B61.17B.4B11.6B8.A10.9B21.4B$19.29B2.8B8.A.AB9.
6B3.2A14.4B60.29B2.8B8.A.AB9.6B3.2A18.4B$18.13B2A11BD14B8.2AB.3B4.6B
4.A16.4B58.13B2A11BD14B8.2AB.3B4.6B4.A20.4B$17.14B2A9B3D13B11.7B.7B.B
A.A17.4B56.14B2A9B3D13B11.7B.7B.BA.A21.4B$16.2AB3.20BDBD4B.7B12.15B.B
2A19.4B54.2AB3.20BDBD4B.7B12.15B.B2A23.4B$15.A2.A4.19BD15B12.16B22.4B
52.A2.A4.19BD15B12.16B26.4B$14.A.2A5.6B3.B2.2B2.19B11.18B22.4B50.A.2A
5.6B3.B2.2B2.19B11.18B26.4B$14.A7.6B14.17B8.19B24.4B49.A7.6B14.17B8.
19B28.4B$13.2A6.9B14.15B.2B2.20B.B2A23.4B47.2A6.9B14.15B.2B2.20B.B2A
27.4B$20.4B4.2A15.22BD13B4.BA.A23.4B53.4B4.2A15.22BD13B4.BA.A27.4B$
19.4B5.A16.8B.13BDBD4B.7B6.A24.4B51.4B5.A16.8B.13BDBD4B.7B6.A28.4B8.
2A$18.4B7.3A11.8B3.2B2A9B3D4B2.B.2B.B2A4.2A24.4B49.4B7.3A11.8B3.2B2A
9B3D4B2.B.2B.B2A4.2A28.4B6.B2AB$17.4B10.A11.2A3.B5.2B2A11BD4B7.BA.A
30.4B8.2A37.4B10.A11.2A3.B5.2B2A11BD4B7.BA.A34.4B5.4B$16.4B24.A10.18B
11.A31.4B6.B2AB35.4B24.A10.18B11.A35.4B5.2B$15.4B22.3A12.B.3B.4B18.2A
31.4B5.4B34.4B22.3A12.B.3B.4B18.2A35.4B2.4B7.A$14.4B23.A19.4B53.4B5.
2B34.4B23.A19.4B57.4B.5B5.A.A$13.4B43.4B55.4B2.4B7.A25.4B43.4B59.14B.
A$12.4B37.2A4.4B57.4B.5B5.A.A23.4B37.2A4.4B61.14B$11.4B37.B2AB2.4B11.
2A46.14B.A23.4B37.B2AB2.4B11.2A49.14B$10.4B25.2A12.3B.4B12.A48.14B23.
4B25.2A12.3B.4B12.A49.6BD8B$9.4B26.2A13.B.4B14.A11.A35.14B22.4B26.2A
13.B.4B14.A11.A35.5BDBD4B2A3B$8.4B34.3B.9B14.2A9.3A34.6BD8B21.4B34.3B
.9B14.2A9.3A34.7B2D4B2A3B$8.4B27.4A3.13B14.B9.A36.5BDBD4B2A3B20.4B27.
4A3.13B14.B9.A36.4B2.11B.B2A$7.5B27.A3.A2.14B11.3B9.2A10.2A22.7B2D4B
2A3B19.5B27.A3.A2.14B11.3B9.2A10.2A22.4B5.8B2.BA.A$4.9B28.BA2B.14B9.
6B5.5B10.A22.4B2.11B.B2A14.9B28.BA2B.14B9.6B5.5B10.A22.4B4.10B5.A$4.
9B28.BABA14B7.10B3.4B9.BA.A21.4B5.8B2.BA.A13.9B28.BABA14B7.10B3.4B9.B
A.A21.4B5.2A5.B.B5.2A$4.9B28.2B2A13B2.2B3.11B2.6B4.3B.B2A10.A10.4B4.
10B5.A13.9B28.2B2A13B2.2B3.11B2.6B4.3B.B2A10.A10.4B7.A4.3B$4.10B22.2A
.2A.28B2A13B.7B12.3A7.4B5.2A5.B.B5.2A12.10B22.2A.2A.28B2A13B.7B12.3A
7.4B5.3A5.B2AB$3.12B22.A.A4.26B2A21B15.A5.4B7.A4.3B19.12B22.A.A4.26B
2A21B15.A5.4B6.A8.2A$2.13B8.2A12.A.A6.46B15.2A4.4B5.3A5.B2AB17.13B8.
2A12.A.A6.46B15.2A4.4B$3.11B9.A14.A7.47B14.9B5.A9.2A19.11B9.A14.A7.
47B14.9B6.5A$4.12B4.BA.A21.50B14.6B7.3A28.12B4.BA.A21.50B14.6B7.A3.A$
4.15B.B2A10.A10.4B8.4B.13B3.B.19B2.2B2.B3.6B5.3A2.A28.15B.B2A10.A10.
4B8.4B.13B3.B.19B2.2B2.B3.6B5.2A.A2.A$4.17B12.3A7.4B10.4B4.B.7B7.33B
4.A2.A31.17B12.3A7.4B10.4B4.B.7B7.33B4.A2.A3.2A$4.17B15.A5.4B12.4B19.
6B.27B3.B2A32.17B15.A5.4B12.4B19.6B.27B3.B2A$.B.17B15.2A4.4B14.4B16.
5B.B2.16B2A14B30.B.17B15.2A4.4B14.4B16.5B.B2.16B2A14B$2A19B14.9B6.2A
8.4B15.2A7.16B2A13B30.2A19B14.9B6.2A8.4B15.2A7.16B2A13B$2AB.19B14.6B
7.A10.4B15.A8.29B31.2AB.19B14.6B7.A10.4B15.A8.29B$.B4.20B2.2B2.B3.6B
5.2A.A11.4B11.3A16.2B.B.17B32.B4.20B2.2B2.B3.6B5.2A.A11.4B11.3A16.2B.
B.17B$6.16BD19B4.A2.A13.4B10.A17.3B4.15B38.16BD19B4.A2.A13.4B10.A17.
3B4.15B$6.9B.4BDBD20B3.B2A15.4B23.2A.2BA5.15B38.9B.4BDBD20B3.B2A15.4B
23.2A.2BA5.15B$7.7B2.4B3D25B17.4B22.A.2BA.A5.13B40.7B2.4B3D25B17.4B
22.A.2BA.A5.13B$7.7B2.4BD26B19.4B22.A2.BA.A2.13B42.7B2.4BD26B19.4B22.
A2.BA.A2.13B$7.6B4.14B3A12B21.4B22.A3.A.A.2A4.8B41.6B4.14B3A12B21.4B
22.A3.A.A.2A4.8B$7.7B10.4B.3BA2B2A9B22.4B19.A.4A2.AB2A6.6B41.7B10.4B.
3BA2B2A9B22.4B19.A.4A2.AB2A6.6B$7.6B10.5B2.4BABA8B24.4B17.A.A3.A.A2.B
8.5B41.6B10.5B2.4BABA8B24.4B17.A.A3.A.A2.B8.5B$6.7B6.2A.2BA.2B2.15B
25.4B16.A.A2.A2.2A.2A9.B.B40.7B6.2A.2BA.2B2.15B25.4B16.A.A2.A2.2A.2A
9.B.B$7.6B6.A.2BA.A5.13B27.4B16.A3.2A2.A.A9.3B42.6B6.A.2BA.A5.13B27.
4B16.A3.2A2.A.A9.3B$8.5B7.A2.BA.A2.13B30.4B23.A.A9.B2AB42.5B7.A2.BA.A
2.13B30.4B23.A.A9.B2AB$8.6B7.A3.A.A.2A4.8B30.4B23.A11.2A43.6B7.A3.A.A
.2A4.8B30.4B23.A11.2A$10.4B5.A.4A2.AB2A6.6B31.4B81.4B5.A.4A2.AB2A6.6B
31.4B$9.B2A2B4.A.A3.A.A2.B8.5B32.4B79.B2A2B4.A.A3.A.A2.B8.5B32.4B$10.
2A6.A.A2.A2.2A.2A9.B.B33.4B79.2A6.A.A2.A2.2A.2A9.B.B33.4B$19.A3.2A2.A
.A9.3B35.3BA87.A3.2A2.A.A9.3B35.3BA$27.A.A9.B2AB35.3BA94.A.A9.B2AB35.
3BA$28.A11.2A37.3AB94.A11.2A37.3AB!

(Is there a working weld with the eater and beehive-with-tail in the northeast, three diagonal steps closer? I forget how it's done if so. That would save a couple of rows and columns in the p2081.)

[chris_c]

That would be the p392 I think...Although the channel where the glider is travelling SW already looks quite crowded and so tough to put a reset mechanism in there.

Seems easy enough to widen out the p392 until a reset mechanism will fit. It turns out surprisingly well with a p532+8N base loop. Here is

... a sample p3086+8N (k=6): 137*75 = 10275

Looks good but note that you in fact used p436 as the base gun which is 4 mod 8. The 23 step extension of your 3086 gun is of period 2738. Smaller and different mod 8! :) (EDIT: at the same time I admit that lengthening that side of the gun by 23 steps is always going to be a bit pointless, but better to be aware of these things I think)

Code: Select all

x = 160, y = 98, rule = LifeHistory
112.2A$112.A.A$114.A4.2A$110.4A.2A2.A2.A$104.2A4.A2.A.A.A.A.2A$104.A
7.BABABA.A$106.A6.B2ABA.A$102.5A7.2B.BA$102.A10.3B$104.B4A3.4B$104.BA
2.A3.B2A3B$104.4B4.B2A5B$100.2A3.15B$100.A2.A.2A14B$102.2A.2A6B3D6B$
106.B.7BD7B$109.5BD3B2.4B$109.7B5.4B$109.9B4.4B$108.4B4.2A5.4B$107.4B
5.A7.4B$106.4B7.3A5.4B$105.4B10.A6.4B$.2D2.4D2.2D3.2D86.4B19.4B$D2.D
4.D.D2.D.D2.D84.4B21.4B$3.D3.D5.D.D2.D83.4B23.4B$2.D3.D4.2D3.2D83.4B
25.4B$.D4.D6.D.D2.D81.4B27.4B13.A$D5.D3.D2.D.D2.D80.4B29.4B10.3A$4D2.
D4.2D3.2D80.4B31.4B8.A$97.4B33.4B7.2A$96.4B35.4B3.5B$22.2A11.A59.4B
37.4B2.3B9.2A$21.B2AB9.A.A57.4B39.9B8.A.A$22.3B9.A.A2.2A3.A48.4B41.8B
.B8.A$21.B.B9.2A.2A2.A2.A.A12.A33.4B43.11B3.B.BA.2A$21.5B8.B2.A.A3.A.
A10.3A32.4B44.4BD7B.B2A.A.A$21.6B6.2ABA2.4A.A10.A34.4B45.2BDBD9B2A.A.
A$21.8B4.2A.A.A3.A12.2A17.A14.4B46.3B2D3B2A5B2.A.2A$22.13B2.A.AB2.A9.
4B17.3A9.6B45.2AB.5BA2BA3B4A2.A$20.13B5.A.A2B.A7.3B22.A8.5B45.A.AB.6B
2A2B.BAB2.2A$19.15B3.B.A2B.2A7.4B20.2A8.4B46.A5.7B6.2A$19.15B3.4B10.
5B8.2A10.6B3.4B46.2A5.4B.2B7.A$18.17B.4B11.6B8.A12.5B.4B53.4B9.A$18.
29B2.8B8.A.AB7.11B53.4B10.2A$17.13B2A11BD14B8.2AB.3B3.13B50.4B$16.14B
2A9B3D13B11.20B2A48.4B$15.2AB3.20BDBD4B.7B12.20B2A47.4B$14.A2.A4.19BD
15B12.20B47.4B$13.A.2A5.6B3.B2.2B2.19B11.21B46.4B$13.A7.6B14.17B8.20B
48.4B$12.2A6.9B14.15B.2B2.22B48.4B$19.4B4.2A15.22BD15B.4B45.4B$18.4B
5.A16.8B.13BDBD4B.7B4.2A44.4B$17.4B7.3A11.8B3.2B2A9B3D4B2.6B4.A44.4B$
16.4B10.A11.2A3.B5.2B2A11BD4B3.6B4.3A40.4B$15.4B24.A10.18B6.4B6.A39.
4B$14.4B22.3A12.B.3B.4B12.B2A2B45.4B$13.4B23.A19.4B14.2A.B2A42.4B$12.
4B43.4B18.BA.A40.4B$11.4B37.2A4.4B22.A39.4B$10.4B37.B2AB2.4B11.2A10.
2A.2A34.4B$9.4B25.2A12.3B.4B12.A12.A.2A33.4B$8.4B26.2A13.B.4B14.A11.A
35.4B$8.4B33.3B.9B14.2A9.3A34.4B$7.5B26.4A3.4B2A7B14.B9.A36.4B$4.9B
25.A3.A2.4B2A8B11.3B9.2A10.2A22.4B$4.9B27.BA2B.14B9.6B5.5B10.A22.4B$
4.9B27.BABA14B7.10B3.4B9.BA.A21.4B$4.10B26.2B2A13B2.2B3.11B2.6B4.3B.B
2A10.A10.4B$3.12B20.2A.2A.28B2A13B.7B12.3A7.4B$2.13B8.2A11.A.A4.26B2A
21B15.A5.4B$3.11B9.A12.A.A6.46B15.2A4.4B$4.12B4.BA.A13.A7.47B14.9B6.
2A$4.15B.B2A10.A10.50B14.6B7.A$4.4B3A10B12.3A7.4B8.4B.13B3.B.19B2.2B
2.B3.6B5.2A.A$4.3BA2BA4BA5B15.A5.4B10.4B4.B.7B7.33B4.A2.A$.B.3BA3BA3B
ABA3B15.2A4.4B12.4B19.6B.27B3.B2A$2A4BA7BABA4B14.9B6.2A6.4B16.5B.B2.
16B2A14B$2AB.5BA13B14.6B7.A8.4B15.2A7.16B2A13B$.B4.2ABA16B2.2B2.B3.6B
5.2A.A9.4B15.A8.29B$6.16BD19B4.A2.A11.4B11.3A16.2B.B.17B$6.9B.4BDBD
20B3.B2A13.4B10.A17.3B4.15B$7.2BAB2AB2.4B3D25B15.4B23.2A.2BA5.15B$7.
2B3A2B2.4BD26B17.4B22.A.2BA.A5.13B$7.3BA2B4.14B3A12B19.4B22.A2.BA.A2.
13B$7.7B10.4B.3BA2B2A9B20.4B22.A3.A.A.2A4.8B$7.6B10.5B2.4BABA8B22.4B
19.A.4A2.AB2A6.6B$6.7B6.2A.2BA.2B2.15B23.4B17.A.A3.A.A2.B8.5B$7.6B6.A
.2BA.A5.13B25.4B16.A.A2.A2.2A.2A9.B.B$8.5B7.A2.BA.A2.13B28.4B16.A3.2A
2.A.A9.3B$8.6B7.A3.A.A.2A4.8B28.4B23.A.A9.B2AB$10.4B5.A.4A2.AB2A6.6B
29.4B23.A11.2A$9.B2A2B4.A.A3.A.A2.B8.5B30.4B$10.2A6.A.A2.A2.2A.2A9.B.
B31.4B$19.A3.2A2.A.A9.3B33.3BA$27.A.A9.B2AB33.3BA$28.A11.2A35.3AB!

(Is there a working weld with the eater and beehive-with-tail in the northeast, three diagonal steps closer? I forget how it's done if so. That would save a couple of rows and columns in the p2081.)

I can get two closer (or four closer, but that is useless here) but not three:

Code: Select all

x = 8, y = 8, rule = B3/S23
6b2o$7bo$4b3o$3bo$4b3o$b3o2bo$o2bo$b2o!

[Jormungant]

The one H-to-G used is the most compact, but I assume that some guns would gain from using the other 2 H-to-G that leave a block in the glider's path:

Code: Select all

x = 502, y = 102, rule = LifeHistory
10$261.2A$261.A.A$263.A4.2A175.2A$259.4A.2A2.A2.A173.A.A$253.2A4.A2.A
.A.A.A.2A175.A4.2A$96.2A155.A7.BABABA.A174.4A.2A2.A2.A$96.A.A156.A6.B
2ABA.A168.2A4.A2.A.A.A.A.2A$98.A4.2A146.5A7.2B.BA169.A7.BABABA.A$94.
4A.2A2.A2.A144.A10.3B174.A6.B2ABA.A$88.2A4.A2.A.A.A.A.2A146.B4A3.4B
170.5A7.2B.BA$88.A7.BABABA.A149.BA2.A3.B2A3B168.A10.3B$90.A6.B2ABA.A
91.2A11.A44.4B4.B2A5B168.B4A3.4B$86.5A7.2B.BA91.B2AB9.A.A39.2A3.15B
168.BA2.A3.B2A3B$86.A10.3B95.3B9.A.A2.2A3.A31.A2.A.2A14B109.2A11.A44.
4B4.B2A5B$88.B4A3.4B94.B.B9.2A.2A2.A2.A.A12.A19.2A.2A3BA2B3D6B107.B2A
B9.A.A39.2A3.15B$88.BA2.A3.B2A3B92.5B8.B2.A.A3.A.A10.3A23.B.BABA3BD7B
107.3B9.A.A2.2A3.A31.A2.A.2A14B$30.2A11.A44.4B4.B2A5B90.6B6.2ABA2.4A.
A10.A29.BA3BD3B2.4B105.B.B9.2A.2A2.A2.A.A12.A19.2A.2A3BA2B3D6B$29.B2A
B9.A.A39.2A3.15B90.8B4.2A.A.A3.A12.2A28.7B5.4B104.5B8.B2.A.A3.A.A10.
3A23.B.BABA3BD7B$30.3B9.A.A2.2A3.A31.A2.A.2A14B90.13B2.A.AB2.A9.4B17.
A10.9B4.4B103.6B6.2ABA2.4A.A10.A29.BA3BD3B2.4B$29.B.B9.2A.2A2.A2.A.A
12.A19.2A.2A6B3D6B87.13B5.A.A2B.A7.3B19.3A7.4B4.2A5.4B102.8B4.2A.A.A
3.A12.2A28.7B5.4B$29.5B8.B2.A.A3.A.A10.3A23.B.7BD7B85.15B3.B.A2B.2A7.
4B21.A5.4B5.A7.4B102.13B2.A.AB2.A9.4B17.A10.9B4.4B$29.6B6.2ABA2.4A.A
10.A29.5BD3B2.4B84.15B3.4B10.5B8.2A10.2A4.4B7.3A5.4B99.13B5.A.A2B.A7.
3B19.3A7.4B4.2A5.4B$29.8B4.2A.A.A3.A12.2A28.7B5.4B82.17B.4B11.6B8.A
10.9B10.A6.4B97.15B3.B.A2B.2A7.4B21.A5.4B5.A7.4B$30.13B2.A.AB2.A9.4B
17.A10.9B4.4B81.29B2.8B8.A.AB9.6B3.2A14.4B96.15B3.4B10.5B8.2A10.2A4.
4B7.3A5.4B$28.13B5.A.A2B.A7.3B19.3A7.4B4.2A5.4B79.13B2A11BD14B8.2AB.
3B4.6B4.A16.4B94.17B.4B11.6B8.A10.9B10.A6.4B$27.15B3.B.A2B.2A7.4B21.A
5.4B5.A7.4B77.14B2A9B3D13B11.7B.7B.BA.A17.4B93.29B2.8B8.A.AB9.6B3.2A
14.4B$27.15B3.4B10.5B8.2A10.2A4.4B7.3A5.4B75.2AB3.20BCBC4B.7B12.15B.B
2A19.4B91.13B2A10BAD14B8.2AB.3B4.6B4.A16.4B$26.17B.4B11.6B8.A10.9B10.
A6.4B73.A2.A4.18BADBA13B12.16B22.4B89.14B2A9B2DCA12B11.7B.7B.BA.A17.
4B$26.29B2.8B8.A.AB9.6B3.2A14.4B71.A.2A5.6B3.B2.2B2.3BA2BAB2A9B11.18B
22.4B87.2AB3.17BABADAD4B.7B12.15B.B2A19.4B$25.13B2A11BD14B8.2AB.3B4.
6B4.A16.4B70.A7.6B14.3BA2BA10B8.19B24.4B85.A2.A4.16BABAD15B12.16B22.
4B$24.14B2A9B3D13B11.7B.7B.BA.A17.4B68.2A6.9B14.2B2A11B.2B2.20B.B2A
23.4B83.A.2A5.6B3.B2.2B2.19B11.18B22.4B$23.2AB3.20BDBD4B.7B12.15B.B2A
19.4B74.4B4.2A15.B2A19BD13B4.BA.A23.4B82.A7.6B14.17B8.19B24.4B$22.A2.
A4.19BD15B12.16B22.4B72.4B5.A16.8B.13BDBD4B.7B6.A24.4B80.2A6.9B14.15B
.2B2.20B.B2A23.4B$21.A.2A5.6B3.B2.2B2.19B11.18B22.4B70.4B7.3A11.8B3.
2B2A9B3D4B2.B.2B.B2A4.2A24.4B86.4B4.2A15.22BD13B4.BA.A23.4B$21.A7.6B
14.17B8.19B24.4B68.4B10.A11.2A3.B5.2B2A11BD4B7.BA.A30.4B84.4B5.A16.8B
.13BDBD4B.7B6.A24.4B$20.2A6.9B14.15B.2B2.20B.B2A23.4B66.4B24.A10.18B
11.A31.4B8.2A72.4B7.3A11.8B3.2B2A9B3D4B2.B.2B.B2A4.2A24.4B$27.4B4.2A
15.22BD13B4.BA.A23.4B64.4B22.3A12.B.3B.4B18.2A31.4B6.B2AB70.4B10.A11.
2A3.B5.2B2A11BD4B7.BA.A30.4B8.2A$26.4B5.A16.8B.13BDBD4B.7B6.A24.4B62.
4B23.A19.4B53.4B5.4B69.4B24.A10.18B11.A31.4B6.B2AB$25.4B7.3A11.8B3.2B
2A9B3D4B2.B.2B.B2A4.2A24.4B60.4B43.4B55.4B5.2B69.4B19.A2.3A12.B.3B.4B
18.2A31.4B5.4B$24.4B10.A11.2A3.B5.2B2A11BD4B7.BA.A30.4B8.2A48.4B22.BA
19.4B57.4B2.4B7.A60.4B20.4A19.4B53.4B5.2B$23.4B24.A10.18B11.A31.4B6.B
2AB46.4B20.B.BA.A17.4B59.4B.5B5.A.A58.4B43.4B55.4B2.4B7.A$22.4B22.3A
12.B.3B.4B18.2A31.4B5.4B45.4B20.2A2B2A.B15.4B61.14B.A58.4B24.2A11.2A
4.4B57.4B.5B5.A.A$21.4B23.A19.4B53.4B5.2B45.4B21.2AB.6B12.4B13.2A48.
14B58.4B25.2AB10.2A3.4B59.14B.A$20.4B43.4B55.4B2.4B7.A36.4B23.B3.6B
10.4B14.A49.14B57.4B24.B3.B14.4B11.2A48.14B$19.4B37.2A4.4B57.4B.5B5.A
.A34.4B27.7B3.3B3.4B16.A11.A35.6BD8B56.4B26.4B13.4B12.A49.14B$18.4B
37.B2AB2.4B11.2A46.14B.A34.4B27.14B2.4B16.2A9.3A34.5BDBD4B2A3B54.4B
25.7B11.4B14.A11.A35.6BD8B$17.4B25.2A12.3B.4B12.A48.14B34.4B28.19B17.
B9.A36.7B2D4B2A3B53.4B26.11B.B4.4B14.2A9.3A34.5BDBD4B2A3B$16.4B26.2A
13.B.4B14.A11.A25.A9.14B33.4B29.18B16.3B9.2A10.2A22.4B2.11B.B2A50.4B
28.10B.B.B.4B15.B9.A36.7B2D4B2A3B$15.4B34.3B.9B14.2A9.3A34.6BD8B32.4B
30.17B15.6B5.5B10.A22.4B5.8B2.BA.A48.4B29.18B14.3B9.2A10.2A22.4B2.11B
.B2A$15.4B27.4A3.13B14.B9.A36.5BDBD4B2A3B31.4B30.18B11.10B3.4B9.BA.A
21.4B4.10B5.A47.4B27.2B.17B13.6B5.5B10.A22.4B5.8B2.BA.A$14.5B27.A3.A
2.14B11.3B9.2A10.2A22.7B2D4B2A3B30.5B31.20B2.2B3.11B2.6B4.3B.B2A10.A
10.4B5.2A5.B.B5.2A45.4B27.2A18B11.10B3.4B9.BA.A21.4B4.10B5.A$11.9B28.
BA2B.14B9.6B5.5B10.A22.4B2.11B.B2A25.9B30.16BC15B2A3BD9B.7B12.3A7.4B
3.A3.A4.3B52.4B28.2AB.19B2.2B3.12B.6B4.3B.B2A10.A10.4B5.2A5.B.B5.2A$
11.9B28.BABA14B7.10B3.4B9.BA.A21.4B5.8B2.BA.A24.9B30.14BCBC15B2A2B2D
17B15.A5.4B4.4A5.B2AB50.4B30.B2.15BC15B2A3BD9B.7B12.3A7.4B3.A3.A4.3B$
11.9B28.2B2A13B2.2B3.11B2.6B4.3B.B2A10.A10.4B4.10B5.A24.9B31.13B3C18B
2D17B15.2A4.4B15.2A51.4B34.7B.4BCBC15B2A2B2D17B15.A5.4B4.4A5.B2AB$11.
10B22.2A.2A.28B2A13B.7B12.3A7.4B5.2A5.B.B5.2A23.10B30.13BC21BD18B14.
9B6.2A60.5B33.13B3C18B2D17B15.2A4.4B15.2A$10.12B22.A.A4.26B2A21B15.A
5.4B7.A4.3B30.12B29.8B2.26BD19B14.6B7.A58.9B32.13BC21BD18B14.9B6.2A$
9.13B8.2A12.A.A6.46B15.2A4.4B5.3A5.B2AB28.13B8.2A19.7B10.4B.13B3.B.
19B2.2B2.B3.6B5.2A.A58.9B32.36BD19B14.6B7.A$10.11B9.A14.A7.47B14.9B5.
A9.2A30.11B9.A20.6B12.3B5.B.7B7.33B4.A2.A59.9B29.AB.9B8.4B.13B.B.B.
19B2.2B2.B3.6B5.2A.A$11.12B4.BA.A21.50B14.6B7.3A39.12B4.BA.A19.7B13.
2B21.6B.27B3.B2A60.10B27.A.A9B10.3B5.B.7B7.33B4.A2.A$11.15B.B2A10.A
10.4B8.4B.13B3.B.19B2.2B2.B3.6B5.3A2.A39.15B.B2A10.A10.5B15.B19.5B.B
2.16B2A14B60.12B27.A9B12.2B21.6B.27B3.B2A$11.17B12.3A7.4B10.4B4.B.7B
7.33B4.A2.A42.17B12.3A7.6B35.2A7.16B2A13B60.13B8.2A18.B.6B14.B19.5B.B
2.16B2A14B$11.17B15.A5.4B12.4B19.6B.27B3.B2A43.17B15.A5.9B34.A8.29B
62.11B9.A22.5B34.2A7.16B2A13B$8.B.17B15.2A4.4B14.4B16.5B.B2.16B2A14B
41.B.17B15.2A4.7B.2A31.3A16.2B.B.17B63.12B4.BA.A21.4B37.A8.29B$7.2A
19B14.9B6.2A8.4B15.2A7.16B2A13B41.2A19B14.9B5.A32.A17.3B4.15B64.15B.B
2A10.A10.6B.2A30.3A16.2B.B.17B$7.2AB.19B14.6B7.A10.4B15.A8.29B42.2AB.
19B14.6B7.3A43.2A.2BA5.15B64.17B12.3A7.7B.A.A29.A17.3B4.15B$8.B4.20B
2.2B2.B3.6B5.2A.A11.4B11.3A16.2B.B.17B43.B4.20B2.2B2.B3.6B5.3A2.A43.A
.2BA.A5.13B65.17B15.A5.8B3.A43.2A.2BA5.15B$13.16BD19B4.A2.A13.4B10.A
17.3B4.15B49.16BD19B4.A2.A47.A2.BA.A2.13B64.B.17B15.2A4.7B5.2A42.A.2B
A.A5.13B$13.9B.4BDBD20B3.B2A15.4B23.2A.2BA5.15B49.9B.4BDBD20B3.B2A49.
A3.A.A.2A4.8B62.2A19B14.9B6.A47.A2.BA.A2.13B$14.7B2.4B3D25B17.4B22.A.
2BA.A5.13B51.7B2.4B3D9B2A14B48.A.4A2.AB2A6.6B62.2AB.19B14.6B5.3A48.A
3.A.A.2A4.8B$14.7B2.4BD26B19.4B22.A2.BA.A2.13B53.7B2.4BD11B2A13B48.A.
A3.A.A2.B8.5B63.B4.20B2.2B2.B3.6B5.A49.A.4A2.AB2A6.6B$14.6B4.14B3A12B
21.4B22.A3.A.A.2A4.8B52.6B4.29B49.A.A2.A2.2A.2A9.B.B68.16BD19B4.A.B2A
45.A.A3.A.A2.B8.5B$14.7B10.4B.3BA2B2A9B22.4B19.A.4A2.AB2A6.6B52.7B10.
4B.17B50.A3.2A2.A.A9.3B69.9B.4BDBD20B3.B2A2.A44.A.A2.A2.2A.2A8.2B.B$
14.6B10.5B2.4BABA8B24.4B17.A.A3.A.A2.B8.5B52.6B10.5B2.15B59.A.A9.B2AB
69.7B2.4B3D9B2A14B2.2A45.A3.2A2.A.A9.3B$13.7B6.2A.2BA.2B2.15B25.4B16.
A.A2.A2.2A.2A9.B.B51.7B6.2A.2BA.2B2.15B60.A11.2A70.7B2.4BD11B2A13B58.
A.A9.B2AB$14.6B6.A.2BA.A5.13B27.4B16.A3.2A2.A.A9.3B53.6B6.A.2BA.A5.
13B145.6B4.29B60.A11.2A$15.5B7.A2.BA.A2.13B30.4B23.A.A9.B2AB53.5B7.A
2.BA.A2.13B147.7B10.4B.17B$15.6B7.A3.A.A.2A4.8B30.4B23.A11.2A54.6B7.A
3.A.A.2A4.8B146.6B10.5B2.15B$17.4B5.A.4A2.AB2A6.6B31.4B92.4B5.A.4A2.A
B2A6.6B145.7B6.2A.2BA.2B2.15B$16.B2A2B4.A.A3.A.A2.B8.5B32.4B90.B2A2B
4.A.A3.A.A2.B8.5B146.6B6.A.2BA.A5.13B$17.2A6.A.A2.A2.2A.2A9.B.B33.4B
90.2A6.A.A2.A2.2A.2A9.B.B147.5B7.A2.BA.A2.13B$26.A3.2A2.A.A9.3B35.3BA
98.A3.2A2.A.A9.3B148.6B7.A3.A.A.2A4.8B$34.A.A9.B2AB35.3BA105.A.A9.B2A
B149.4B5.A.4A2.AB2A6.6B$35.A11.2A37.3AB105.A11.2A149.B2A2B4.A.A3.A.A
2.B8.5B$359.2A6.A.A2.A2.2A.2A9.B.B$368.A3.2A2.A.A9.3B$376.A.A9.B2AB$
377.A11.2A!

I did find another mechanism that is comparably compact, but there might more with different delays.

Code: Select all

x = 222, y = 81, rule = LifeHistory
5$62.A$62.A.A$62.2A24$163.A.B$163.A.A$163.2A$20.4B$21.4B$22.4B191.C$
23.6B187.C$23.7B185.B3C$13.2C8.8B183.4B$14.C4.13B181.4B$14.C.C14B181.
4B$15.2C14B180.4B$17.13B180.4B$18.11B180.4B$17.13B3.2A167.2A4.4B$17.
13B3.2A167.2A3.4B$18.11B177.4B$15.16B176.2B$15.5B2D9B4.A107.3B61.B$
15.5B2D9B3.A.A103.7B52.2D$15.16B4.A104.7B52.2D6.B$13.17B6.3A102.6B60.
3B$12.17B9.A101.8B51.B7.4B$9.20B7.2A100.4B2D4B49.4B4.6B$7.5BC15B8.A
99.6B2D4B47.6B2.7B$7.5BCBC14B4.BA.A99.2BC9B2C45.2BC14B$7.5B3C17B.B2A
99.3BCBC5B.C2BC2.2A39.3BCBC8B2.2A$7.7BC13B.B2A2B102.2B3C4B2.CBCB3.A2.
A37.2B3C4B2.B3.A$7.21B.BA.AB101.5BC4B3.C4B.A.A.A35.5BC4B7.3A$7.22B2.
2A101.10B6.B2A.A2.A35.10B10.A$7.12B2.6B109.B13.BAB.A37.4B$7.2B2.7B4.
5B121.A4.A37.4B$7.B5.B9.4B121.5A$12.3B8.4B2A$12.B2AB10.A2BA2.2A116.A$
13.2A11.ABAB3.A115.A.A$27.A4B.A.2A113.A$29.B2A.A.A$29.BAB.A2.A$27.A4.
A2.2A$27.5A2$29.2A.A$29.A.2A!

One last idea is that one can specifically kill the glider using still life factory, as dvgrn used before. but to produce a glider on the same lane might be difficult, an alternative mechanism that sends a glider instead to kill the glider.
I used this "imposter" interaction in my high bandwidth telegraph (viewtopic.php?f=2&t=2223)

Code: Select all

x = 43, y = 54, rule = LifeHistory
3$6.A.A$7.2A$7.A15$15.A$13.3A$12.A$11.A.A$12.A3$10.2A$10.2A$23.A$21.
3A$20.A$8.A11.2A$6.3A$6.A.A$6.A4$32.2A$31.A2.A$32.2A$7.2A$8.A$5.3A6.A
.2A17.2A$5.A6.3A.2A17.A$11.A24.3A$12.3A.2A20.A$14.A.A$14.A.A4.2A$15.A
6.A$19.3A$19.A10.2A!

[googoIpIex]

I think it's updated, but can someone double-check the github repository?

[testitemqlstudop]

Running dvgrn's script for the first time!

Oh, good. Was this by downloading the ZIP file from GitHub? Any difficulties to report?

There were some difficulties, particularly the "ouptut not appearing after subperiod cycle" errors; I fixed it by replacing g.exit with g.show and continue (to not save the output), but other than that it was mostly fine.

[dvgrn]

Looks good but note that you in fact used p436 as the base gun which is 4 mod 8. The 23 step extension of your 3086 gun is of period 2738. Smaller and different mod 8! :)

Oops, so I did. Well, I guess I don't mind so much if odd multipliers create a different k value from even multipliers. Either way you get an 8N+k series that produces primes every now and then. That's a lot less tricky than having to swap out some other piece of mechanism to switch back from even to odd to get any primes at all.

Anyway, just for the record, here's an actual p392+8*16 = p520 base loop, making a p1669 prime-period gun:

Code: Select all

#C p1669 gun based on p392+8N base loop, N=16,
#C    4x multiplier including color changing semi-Snark
x = 134, y = 103, rule = LifeHistory
44.2A3.2A$42.3A.A2.2A$41.A4.A$41.A2.2A.4A$40.2A.A.A.A2.A$41.A.ABABAB$
41.A.AB2AB$42.AB.2B$45.3B$45.4B6.2A$43.3B2AB6.A$43.3B2AB3.BA.A$41.10B
.B2A$40.13B$39.14B$38.15B$37.4B2.8B$36.4B5.6B$35.4B4.9B$34.4B5.2A4.4B
$33.4B7.A5.2B2A$32.4B5.3A7.2A2B$31.4B6.A10.BA2B$30.4B19.4B$29.4B21.4B
$28.4B23.4B$19.A7.4B25.4B$17.3A6.A3B27.4B$16.A8.A3B29.4B8.A$15.A.A6.B
3A24.2A5.4B5.5A$14.BA.A5.4B26.A5.4B4.A5.A$13.3BA5.4B27.A.AB.7B2.B3A2.
A$11.4B6.4B29.2AB.7B3.2B.A.2A$9.6B5.4B32.12B4A2.A27.A11.2A$8.7B4.4B
33.7B2A3BAB2.2A27.A.A9.B2AB$.B.4B.8B2.4B34.7B2A2B.B3A21.A3.2A2.A.A9.
3B$2AB.17B35.10B3.B.A7.A12.A.A2.A2.2A.2A9.B.B$2A18B35.8B8.A.2A4.3A10.
A.A3.A.A2.B8.5B$.2B.16B14.A19.9B7.2A.2A7.A10.A.4A2.AB2A6.6B$4.16B13.A
.A17.4B2.3B19.2A12.A3.A.A.2A4.8B$5.15B14.A17.4B3.5B17.4B9.A2.BA.A2.
13B$6.12B.B2A29.4B7.2A19.3B7.A.2BA.A5.13B$6.11B2.BA.A9.5A13.4B8.A19.
4B7.2A.2BA.B3.15B$7.10B5.A8.A4.A12.4B10.3A6.A9.5B10.4B3.15B$7.6B2A2B
5.2A6.A.BAB13.4B.3B.B7.A4.3A8.6B11.4B.17B$7.6B2A3B9.A2.A.2AB6.18B10.A
11.8B2.29B$7.10B9.A.A.A.4BA3.4BD11B2A2B5.B3.2A9.26B2A13B$3.A.2AB.8B
10.A2.A3.BABA2.4B3D9B2A2B3.8B10.25B2A14B$.3AB2AB3.7B12.2A2.A2BA.5BDBD
13B.8B13.7B.27B3.B2A$A4.B6.6B17.2A9BD22B12.35B4.A2.A$.3A.2A4.6B20.4B
2A7B2.2B.15B11.19B2.2B2.B3.6B5.2A.A$3.2A2.A4.5B20.4B2A4B8.17B8.17B14.
6B7.A$6.A.A.8B19.8B11.19B2.2B.15B14.9B6.2A$2.A.2A.A.A8B8.A9.B.6B12.
15BD22B15.2A4.4B$2.2A.A.BA2B.6B6.3A7.11B12.7B.4BDBD13B.8B16.A5.4B$5.A
2.2B2.7B4.A8.13B11.13B3D9B2A2B3.8B11.3A7.4B8.A$5.2A.B3.7B4.2A7.10B13.
14BD11B2A2B5.B3.2A11.A2.3A5.4B5.5A$3.2A2.A.A2.8B.4B6.8B17.8B2.18B10.A
14.A2.A5.5B3.A5.A$2.A2.A2.2A2.11B7.10B16.6B11.4B.3B.B12.3A10.2A2.A.AB
.7B2.B3A2.A$3.2A7.12B6.9B18.5B12.4B19.A15.2AB.8B2.2B.A.2A$12.12B7.7B
19.4B14.4B36.12B4A2.A$13.11B5.9B9.A10.3B15.4B35.7B2A3BAB2.2A$16.7B3.
14B6.A.A7.4B3.2A3.2A7.4B34.7B2A2B.B3A$15.9B.16B5.A.A7.2A5.2A2.A.3A6.
4B33.10B3.B.A$11.29B4.B2A.2A7.A9.A4.A6.4B31.8B8.A.2A$9.32B2.BA2.A2.A
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4B2.3B$8.36BA.A.A.A14.BABABA.A9.4B25.4B3.5B$8.37B.A.A17.B2ABA.A10.4B
23.4B7.2A$6.2AB.30B2.2B.BAB.A17.4BA12.4B21.4B8.A$5.A.AB3.27B6.2B2AB
16.3B16.4B19.4B10.3A$5.A5.29B7.2B8.2A6.5B16.4B17.4B13.A$4.2A6.14B.12B
7.2B10.A6.B2A3B16.4B15.4B$13.12B4.9B7.B2AB9.A.AB3.B2A4B16.4B13.4B$13.
4B.4B2AB6.7B8.2A11.2AB.10B16.4B11.4B$14.2B3.3B2A6.9B22.13B16.4B9.4B$
13.B2AB2.2B.B7.10B21.14B16.4B7.4B$14.2A6.2A7.8B22.15B16.4B5.4B$23.A8.
8B23.8B2.4B11.A4.4B3.4B$22.A9.9B11.A10.6B5.4B8.3A5.4B.4B$22.2A10.8B8.
3A9.9B4.4B6.A9.7B$36.B2.4B6.A11.4B4.2A5.4B5.2A9.5B$40.4B5.2A9.4B5.A3.
A3.4B.5B9.5B$41.4B.5B8.4B7.4A4.2B2A3B10.7B$42.7B9.4B12.2A3.B2AD3B8.4B
.4B$43.3BD3B7.4B9.2A2.A4.BDBD3BAB5.4B3.4B$37.2A4.BDBD3BAB4.4B10.2A4.A
.3B2D2BABAB3.4B5.4B$37.A2.A.3B2D2BABAB2.4B16.2A8B2A3B.4B7.4B$35.2A2.
2A8B2A7B16.A3.16B9.4B$34.A2.2AB2.15B16.A.2A16B11.4B$34.2A3.2A15B.2B
13.A2.A.AB.12B13.4B$39.A.AB.14B2A12.2A2.AB3.10B15.4B$40.AB3.11B.B2A
22.9B2.2A12.4B$46.11B.B21.5B5.BA2.A13.4B$44.5B4.4B23.2A8.B3A15.4B$44.
2A7.5B23.A6.A21.4B$45.A8.B2A.A2.A16.3A7.4A19.4B$42.3A11.A.4A16.A12.A
20.4B$42.A11.A.A33.A22.4B$54.2A2.2A30.2A22.4B$59.A55.3BA$58.A57.3BA$
58.2A57.3AB!

It seems definitely oversized and awkward compared to other recent templates, though. The wrong adjustment causes crashes and explosions. What's needed is a shorter reset path in the southeast that still produces an output glider.

A slightly cleaner design, but just about the same size and without a lot of good substitution options: p2408+8N adjusted to p2405+8N, first prime period 2437:

Code: Select all

x = 471, y = 102, rule = LifeHistory
.2D2.D5.2D3.2D60.A11.2A78.2D2.D5.2D2.4D55.A11.2A78.2D2.D5.2D2.4D55.A
11.2A$D2.D.D2.D.D2.D.D2.D58.A.A9.B2AB76.D2.D.D2.D.D2.D.D57.A.A9.B2AB
76.D2.D.D2.D.D2.D4.D54.A.A9.B2AB$3.D.D2.D.D2.D.D2.D50.A3.2A2.A.A9.3B
80.D.D2.D.D2.D.D49.A3.2A2.A.A9.3B80.D.D2.D4.D4.D46.A3.2A2.A.A9.3B$3.D
.4D.D2.D2.2D50.A.A2.A2.2A.2A9.B.B79.D.4D.D2.D.3D46.A.A2.A2.2A.2A9.B.B
79.D.4D2.2D4.D46.A.A2.A2.2A.2A9.B.B$2.D5.D.D2.D.D2.D36.A12.A.A3.A.A2.
B8.5B78.D5.D.D2.D4.D32.A12.A.A3.A.A2.B8.5B78.D5.D4.D3.D33.A12.A.A3.A.
A2.B8.5B$.D6.D.D2.D.D2.D36.3A11.A.4A2.AB2A6.6B77.D6.D.D2.D4.D32.3A11.
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11.A2.BA.A2.13B$57.5B7.A.2BA.A5.13B128.5B7.A.2BA.A5.13B128.5B7.A.2BA.
A5.13B$59.4B6.2A.2BA5.15B129.4B6.2A.2BA5.15B129.4B6.2A.2BA5.15B$58.5B
10.3B4.15B128.5B10.3B4.15B128.5B10.3B4.15B$56.B.2B2A2B10.2B.B.17B125.
B.6B10.2B.B.17B125.B.6B10.2B.B.17B$55.4BA4B3.29B124.3B3A3B3.29B124.3B
3A3B3.29B$51.B.2B3A2B2A2B2.16B2A13B119.B.4B3AB2AB2.16B2A13B119.B.4B3A
B2AB2.16B2A13B$50.2A3BA6BAB2.16B2A14B117.2A4B2ABAB2AB2.16B2A14B117.2A
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8BA30B4.A2.A$54.3B2A4BA12B2.2B2.B3.6B5.2A.A118.5B3A14B2.2B2.B3.6B5.2A
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A.A.A2.A8.A.2A.7B2AB2AB.3B.B2A10.A10.4B95.A.ABABAB11.A.2A.7B2AB2AB.3B
.B2A10.A10.4B$29.A.ABABAB16.3BABA2B2AB6.BA.A21.4B95.A.ABABAB16.3B3AB
2A2B6.BA.A21.4B94.A.AB2AB18.3B3AB2A2B6.BA.A21.4B$29.A.AB2AB19.BABA2B
2A2B8.A22.4B94.A.AB2AB19.10B8.A22.4B94.AB.2B21.10B8.A22.4B$30.AB.2B
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11B16.A15.4B96.3B19.11B16.A15.4B95.4B6.2A11.11B16.A15.4B$33.4B6.2A10.
4B3A4B15.A.A15.4B95.4B6.2A10.5BA5B15.A.A15.4B92.3B2AB6.A12.5BA5B15.A.
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4B2AB3.BA.A7.2B.4B3A6B.2B31.4B88.10B.B2A9.2B.4B3A6B.2B31.4B$29.10B.B
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67.A.A10.4B2.8B9.27B8.B2A.A2.A15.4B$7.2A5.A10.4B2.8B8.28B5.A4B.A.A.A
15.4B67.A.A10.4B2.8B8.28B5.A4B.A.A.A15.4B69.A2.2A4.4B5.6B9.28B5.A4B.A
.A.A15.4B$7.A5.2A9.4B5.6B7.29B4.ABAB3.A2.A17.4B69.A2.2A4.4B5.6B7.29B
4.ABAB3.A2.A17.4B66.2A.A2.A3.4B4.9B7.29B4.ABAB3.A2.A17.4B$4.2A.A.3B
11.4B4.9B7.29B3.A2BA2.2A21.4B66.2A.A2.A3.4B4.9B7.29B3.A2BA2.2A21.4B
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6B2.11B2.7B.4B2A27.4B64.A.A.2A4.4B5.2A4.4B6.6B2.11B2.7B.4B2A27.4B63.B
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30.4B56.2A5.5B2.4B5.3A7.4B2.4B7.B.4B9.10B30.4B56.A6.9B6.A10.4B2.4B7.B
.4B9.10B30.4B$9.2A.4B3.4B6.A2.3A5.8B11.3B9.12B29.4B56.A6.9B6.A2.3A5.
8B11.3B9.12B29.4B55.A.AB2.5BD2AB12.2A5.8B11.3B9.12B29.4B$12.3BA6B9.A
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4B$4.3AB2.7B.BA.A11.2A11B12.A.A17.8B35.4B47.2A2.7B6.2A7.2A11B12.A.A
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14.3A39.5BA2B4.4B28.12B4A2.A$19.4B13.A40.2A3B2AB6.4B26.7B2A2B.B3A47.
4B13.A40.2A3B2AB6.4B26.7B2A2B.B3A47.4B13.A40.2A3B2AB6.4B27.7B2A3BAB2.
2A$20.4B53.2A2B3A2B6.4B25.10B3.B.A48.4B53.2A2B3A2B6.4B25.10B3.B.A48.
4B53.2A2B3A2B6.4B26.7B2A2B.B3A$21.4B52.B2A6B7.4B23.8B8.A.2A46.4B52.B
2A6B7.4B23.8B8.A.2A46.4B52.B2A6B7.4B25.10B3.B.A$22.4B50.BABA6B8.4B21.
9B7.2A.2A47.4B50.BABA6B8.4B21.9B7.2A.2A47.4B50.BABA6B8.4B23.8B8.A.2A$
23.4B49.A9B9.4B19.4B2.3B61.4B49.A9B9.4B19.4B2.3B61.4B49.A9B9.4B21.9B
7.2A.2A$24.4B42.2A3.5B3A3B10.4B10.A6.4B3.5B60.4B42.2A3.5B3A3B10.4B10.
A6.4B3.5B60.4B42.2A3.5B3A3B10.4B19.4B2.3B$25.4B42.A3.4B2A2B2AB11.4B7.
3A5.4B7.2A61.4B42.A3.4B2A2B2AB11.4B7.3A5.4B7.2A61.4B42.A3.4B2A2B2AB
11.4B10.A6.4B3.5B$26.4B41.A.A3B4ADA3B12.4B5.A7.4B8.A63.4B41.A.A3B4ADA
3B12.4B5.A7.4B8.A63.4B41.A.A3B4ADA3B12.4B7.3A5.4B7.2A$27.4B41.2A2.B2A
B3DB15.4B4.2A5.4B10.3A61.4B41.2A2.B2AB3DB15.4B4.2A5.4B10.3A61.4B41.2A
2.B2AB3DB15.4B5.A7.4B8.A$28.4B45.2B2D2BD4.2A10.9B4.4B13.A62.4B45.2B2D
2BD4.2A10.9B4.4B13.A62.4B45.2B2D2BD4.2A10.4B4.2A5.4B10.3A$29.4B45.6B
4.A12.6B5.4B78.4B45.6B4.A12.6B5.4B78.4B45.6B4.A12.9B4.4B13.A$30.4B44.
6B.BA.A12.8B2.4B80.4B44.6B.BA.A12.8B2.4B80.4B44.6B.BA.A13.6B5.4B$31.
4B42.7B.B2A11.15B82.4B42.7B.B2A11.15B82.4B42.7B.B2A14.8B2.4B$32.4B42.
8B13.14B84.4B42.8B13.14B84.4B42.8B14.15B$33.4B34.A6.7B14.13B86.4B34.A
6.7B14.13B86.4B34.A6.7B15.14B$34.4B33.3A4.7B12.2AB.10B88.4B33.3A4.7B
12.2AB.10B88.4B33.3A4.7B15.13B$35.4B23.A11.A2.7B4.B7.A.AB3.B2A3B91.4B
23.A11.A2.7B4.B7.A.AB3.B2A3B91.4B23.A11.A2.7B4.B9.2AB.10B$36.4B22.3A
8.2A3.6B.B.2BA6.A6.B2A3B92.4B22.3A8.2A3.6B.B.2BA6.A6.B2A3B92.4B22.3A
8.2A3.6B.B.2BA7.A.AB3.B2A3B$37.4B24.A7.15BA.A4.2A6.4B95.4B24.A7.15BA.
A4.2A6.4B95.4B24.A7.15BA.A6.A6.B2A3B$38.4B10.A11.2A3.B5.7BD4B.BA14.3B
96.4B10.A11.2A3.B5.7BD4B.BA14.3B96.4B10.A11.2A3.B5.7BD4B.BA6.2A6.4B$
39.4B7.3A11.8B2.7B3D3B18.2B.BA94.4B7.3A11.8B2.7B3D3B18.2B.BA94.4B7.3A
11.8B2.7B3D3B18.3B$40.4B5.A16.15BD5B17.B2ABA.A94.4B5.A16.15BD5B17.B2A
BA.A94.4B5.A16.15BD5B19.2B.BA$41.4B4.2A15.20B17.BABABA.A95.4B4.2A15.
20B17.BABABA.A95.4B4.2A15.20B19.B2ABA.A$34.2A6.9B14.19B17.A2.A.A.A.2A
87.2A6.9B14.19B17.A2.A.A.A.2A87.2A6.9B14.19B20.BABABA.A$35.A7.6B14.
21B17.4A.2A2.A89.A7.6B14.21B17.4A.2A2.A89.A7.6B14.21B18.A2.A.A.A.2A$
35.A.2A5.6B3.B2.2B2.25B20.A4.A89.A.2A5.6B3.B2.2B2.25B20.A4.A89.A.2A5.
6B3.B2.2B2.25B17.4A.2A2.A$36.A2.A4.34B4.4B15.2A2.A.3A91.A2.A4.34B4.4B
15.2A2.A.3A91.A2.A4.34B4.4B20.A4.A$37.2AB3.27B.6B6.4B14.2A3.2A94.2AB
3.27B.6B6.4B14.2A3.2A94.2AB3.27B.6B6.4B15.2A2.A.3A$38.14B2A16B2.B.5B
5.4B115.14B2A16B2.B.5B5.4B115.14B2A16B2.B.5B5.4B14.2A3.2A$39.13B2A16B
7.2A6.4B115.13B2A16B7.2A6.4B115.13B2A16B7.2A6.4B$40.29B8.A8.4B115.29B
8.A8.4B115.29B8.A8.4B$40.17B.B.2B16.3A6.4B114.17B.B.2B16.3A6.4B114.
17B.B.2B16.3A6.4B$41.15B4.3B17.A7.4B114.15B4.3B17.A7.4B114.15B4.3B17.
A7.4B$41.15B5.A2B.2A22.4B113.15B5.A2B.2A22.4B113.15B5.A2B.2A22.4B$42.
13B5.A.A2B.A23.4B113.13B5.A.A2B.A23.4B113.13B5.A.A2B.A23.4B$44.13B2.A
.AB2.A25.4B114.13B2.A.AB2.A25.4B114.13B2.A.AB2.A25.4B$43.8B4.2A.A.A3.
A27.4B112.8B4.2A.A.A3.A27.4B112.8B4.2A.A.A3.A27.4B$43.6B6.2ABA2.4A.A
26.4B111.6B6.2ABA2.4A.A26.4B111.6B6.2ABA2.4A.A26.4B$43.5B8.B2.A.A3.A.
A26.4B110.5B8.B2.A.A3.A.A26.4B110.5B8.B2.A.A3.A.A26.4B$43.B.B9.2A.2A
2.A2.A.A27.4B109.B.B9.2A.2A2.A2.A.A27.4B109.B.B9.2A.2A2.A2.A.A27.4B$
44.3B9.A.A2.2A3.A29.3BC109.3B9.A.A2.2A3.A29.3BC109.3B9.A.A2.2A3.A29.
3BC$43.B2AB9.A.A38.3BC107.B2AB9.A.A38.3BC107.B2AB9.A.A38.3BC$44.2A11.
A40.3CB107.2A11.A40.3CB107.2A11.A40.3CB!

So far, the 532+8N base loop looks to me like the easiest to turn into a universal gun family, just because of the free choice of H-to-G. But chris_c's p2273+8N (for some slighty-tricky-to-calculate N) is so much smaller that maybe variants of that design should be explored first.

[dvgrn]

I think it's updated, but can someone double-check the github repository?

It depends on what you want, I guess. It may not be worth worrying about the GitHub repository until the technology settles a bit more. But maybe it would be good to have a consistent record of all the suggested adjustable guns so far.

To standardize things a bit more, "p1657.rle" could be renamed to "p1657+24M+8N.rle", and remove the accidental domino spark on the left side. If you want to get a little more organized, the adjustable parts of the guns could be marked so that a script can get hold of them and adjust them. To deal with the M and N adjustments independently we'll need at least one more color -- maybe like this for the p1657?

Code: Select all

#C Period 1657
#C M -1 1 24
#C N 1 1 8
#C Delta 0
#C Output 1 1 M
x = 165, y = 73, rule = LifeHistory
36.2A11.A$36.2A10.A.A$48.A.A2.2A3.A$47.2A.2A2.A2.A.A38.2A$51.A.A3.A.A
17.2A20.A14.2A$47.2A.A2.4A.A19.A6.2A12.A.A12.2A27.2A$47.2A.A.A3.A21.A
.A4.2A13.2A40.A.A$51.A.A3.A15.2A4.2A31.4A20.2A4.A$52.A.A3.A14.A.A35.A
3.A18.A2.A2.2A.4A$53.A3.2A12.A.A.3A34.A21.2A.A.A.A.A2.A$67.2A2.2A5.A
31.A.A24.A.A.A.A$67.2A8.2A31.2A25.A.A.2A$114.2A22.A$44.2A69.A$44.2A
43.2A24.A.A33.2A$29.2A58.2A25.2A24.2A7.A$28.A2.A110.2A5.A.A$27.A.2A
118.2A$27.A$26.2A$41.2A$41.A$42.3A$44.A10.2A$54.A.A82.2A$54.A85.A19.
2C$53.2A82.3A20.C$137.A24.C$142.2C14.5C$143.C13.C$143.C.C12.3C$67.2A
75.2C15.C$67.2A68.C20.4C$135.3C15.2C3.C3.2C$134.C18.2C4.3C2.C$72.2A
60.2C25.C.2C$46.2A23.A.A75.C11.C$46.2A18.2A3.A12.2A62.C.C9.2C$3.2E27.
2A32.A3.2A12.2A37.2C24.C$4.E27.2A33.A11.A43.C11.C18.2C$2.E63.2A9.3A
45.C8.C.C18.C$2.5E14.2E9.4A40.A47.2C8.2C14.2C3.C.2C$7.E13.E10.A3.A39.
2A10.2A33.C26.2C2.2C.C2.C$4.3E12.E.E13.A52.A33.C.2C31.C.2C$3.E15.2E
14.A.A48.A.A32.C2.C.C23.2C5.C$3.4E29.2A48.2A10.A22.2C2.C24.C5.2C$.2E
3.E3.2E17.2A.2A29.2A33.3A41.2C8.C$E2.3E4.2E18.A.A30.2A36.A38.C2.C7.2C
$2E.E26.A.A67.2A27.2C9.3C$3.E27.A83.2A13.C6.C$3.2E15.D6.E87.A11.3C7.
4C$19.2D6.3E82.2A.A11.C12.C$19.D.D8.E80.A2.A24.C$11.2E16.2E81.2A25.2C
$12.E84.2A$9.3E60.2A23.2A$9.E63.A$70.3A$70.A$84.2A3.A$39.2E43.A3.A.A$
32.2E5.E.E43.A3.A.A$32.2E7.E44.A3.A.A.2A$41.2E41.A.4A2.A.2A$83.A.A3.A
.A$28.E54.A.A2.A2.2A.2A$27.E.E.2E51.A3.2A2.A.A$27.E.E.E.E58.A.A10.2A$
24.2E.E.E.E.E2.E56.A11.2A$24.E2.E2.2E.4E$26.2E4.E38.B$32.E.E37.B$33.
2E35.3B!

Delta <delta> means "run the pattern <delta> ticks to reach the edge of the bounding box". Output <dx> <dy> M means the output location moves (<dx>, <dy>) every time the M (Multiplier) assembly moves by one cell diagonally. Output <dx> <dy> N would be the same for the +8N adjustment assembly.

To do a good job with size estimation, there should also probably be comments that explain the "slack", "trips", "compression", and possibly some new categories for these variable guns along the lines of chris_c's summary of the math involved. Even in the p14-p1024 gun collection these can get fairly complicated. With my Output suggestion above we'd probably need something like Output <dx> <dy> N x_slack <number> in some cases, where the N adjustment only reaches the relevant edge of the bounding box after a <number>-length adjustment.

Now, chris_c's templates are more for estimating gun sizes, whereas my templates would be more for actually automatically building and testing guns of different periods. It's not quite clear what makes more sense here. It depends partly on how ambitious you are about getting a minimal-bounding-box gun checked in for each prime period.

Anyway, something smaller will probably turn up, so it's quite likely that the above p1657 template may not actually produce any record-breaking small guns. Or it might just produce a few guns right near p1657.

I don't see much hope of producing a complete optimized four-digit prime gun collection without a script that can automatically check bounding boxes for each period, across an entire collection of adjustable templates, similar to the way chris_c's existing scripts work. Again, it may be worth figuring out how to borrow a lot of those maintenance scripts. Building and testing all the +24Ms and +8Ns and so on by hand, and checking in the winners manually, just seems like way too much work.

[dvgrn]

Here's something interesting, related to the idea that came up several posts back about putting two or more signals in one of these multi-path guns.

It's still two hours before April 1 rolls around here in Wisconsin, but it appears that I've proven that 1035*2 = 1621. The added semi-Snark on the right is the only difference in the circuitry of these two guns... but the extra signal in the gun on the right seems to make the gun seriously confused about whether it's period 884 or period 737, so it ends up at period 884+737 = 1621, which happens to be prime:

Code: Select all

x = 302, y = 80, rule = LifeHistory
45.2A11.A146.2A11.A$44.B2AB9.A.A144.B2AB9.A.A$45.3B9.A.A2.2A3.A137.3B
9.A.A2.2A3.A$44.B.B9.2A.2A2.A2.A.A38.2A95.B.B9.2A.2A2.A2.A.A38.2A$44.
5B8.B2.A.A3.A.A17.2A20.A14.2A79.5B8.B2.A.A3.A.A17.2A20.A14.2A$3.D3.2D
3.2D2.4D24.6B6.2ABA2.4A.A19.A6.2A12.A.AB11.2A39.D3.3D2.2D3.D25.6B6.2A
BA2.4A.A19.A6.2A12.A.AB11.2A$2.2D2.D2.D.D2.D.D27.8B4.2A.A.A3.A21.A.AB
.2B2AB12.2AB.B.3B45.2D2.D4.D2.D.2D25.8B4.2A.A.A3.A21.A.AB.2B2AB12.2AB
.B.3B$3.D2.D2.D4.D.D28.13B2.A.AB2.A15.2A4.2AB.4B15.7B3.4A39.D2.D7.D2.
D26.13B2.A.AB2.A15.2A4.2AB.4B15.7B3.4A$3.D2.D2.D2.2D2.3D24.13B5.A.A2B
.A14.A.A4.8B14.7B2.A3.A39.D2.3D5.D2.D24.13B5.A.A2B.A14.A.A4.8B14.7B2.
A3.A$3.D2.D2.D4.D4.D22.15B5.A2B.2A11.BA.A.3A3.9B12.7B.2BAB41.D2.D2.D
3.D3.D23.15B5.A2B.2A11.BA.A.3A3.9B12.7B.2BAB$3.D2.D2.D.D2.D4.D22.15B
4.3B12.2A.B2A5.A2.9B10.10BABAB41.D2.D2.D2.D4.D23.15B4.3B12.2A.B2A5.A
2.9B10.10BABAB$2.3D2.2D3.2D2.3D22.17B.B.2B12.B2A2B6.2A.11B2.2B2.13B2A
2B40.3D2.2D2.4D.3D21.17B.B.2B12.B2A2B6.2A.11B2.2B2.13B2A2B$41.29B6.4B
6.36B.2A76.13B2A3BA10B6.4B6.36B.2A$40.13B2A16B3.6B8.BA30B4.A75.14B3AB
AB2A9B3.6B8.32B4.A$39.14B2A16B2.6B7.2B3A7B2A18B6.A.A72.15B3A4BA9B2.6B
7.12B2A18B6.A.A$38.2AB3.27B.7B6.3BA2BA6B2A18B7.2A71.2AB3.13BA3BA9B.7B
6.13B2A18B7.2A$37.A2.A4.35B5.BAB5A26B78.A2.A4.13B3A19B5.34B$36.A.2A5.
6B3.B2.2B2.20B3.B2AB4A4B.2B.3B.4B8.4B12.2A62.A.2A5.6B3.B2.BA2.20B3.
12B.2B.3B.4B8.4B12.2A$36.A7.6B14.30B11.2B3.B6.4B10.A.A62.A7.6B14.30B
11.2B3.B6.4B10.A.A$35.2A6.9B14.21BA7B10.3B.B2A6.4B4.2A2.A64.2A6.9B14.
29B10.3B.B2A6.4B4.2A2.A$42.4B4.2A15.26B2A3B8.A3B2A7.4B3.A2.A.2A69.4B
4.2A15.31B8.A3B2A7.4B3.A2.A.2A$41.4B5.A15.23B3AB3A3B6.A.AB.B9.4B4.2A.
A.A67.4B5.A15.33B6.A.AB.B9.4B4.2A.A.A$40.4B7.3A12.27B2A3B6.A.AB13.4B
4.B.BAB66.4B7.3A12.32B6.A.AB13.4B4.B.BAB$39.4B10.A10.2AB.3B2.14BA6B
10.A17.4B2.5B5.2A59.4B10.A10.2AB.3B2.21B10.A17.4B2.5B5.2A$38.4B21.A.A
B6.20B10.2A18.9B6.A59.4B21.A.AB6.20B10.2A18.9B6.A$37.4B22.A8.13B2AB4A
32.B2A6B2.BA.A58.4B22.A8.20B32.9B2.BA.A$36.4B22.2A7.12B.2BAB4A.B31.2A
7B.B2A58.4B22.2A7.12B.8B.B31.9B.B2A$35.4B31.10B5.3BA2B4A.2A26.12B59.
4B31.10B5.8B2A.2A26.12B$34.4B31.4B.6B6.2B3ABA.A.A27.12B58.4B31.4B.6B
6.7B.A.A27.12B$33.4B31.4B3.B.B10.BA3BA3.A26.12B57.4B31.4B3.B.B10.5BA
3.A26.12B$32.4B31.4B5.3B7.5B2.A.2A25.2AB.2B2A5B57.4B31.4B5.3B7.5B2.A.
2A25.2AB.2B2A5B$31.4B10.BA19.4B5.B2AB7.2A3.2A2.A25.A.AB2.ABA5B56.4B
10.BA19.4B5.B2AB7.2A3.2A2.A25.A.AB2.ABA5B$30.4B8.B.BA.A17.4B7.2A9.A2.
A4.A25.A5.BA6B55.4B8.B.BA.A17.4B7.2A9.A2.A4.A25.A5.BA6B$29.4B8.2A2B2A
.B11.3B.4B16.3A3.5A25.2A6.7B2.2A50.4B8.2A2B2A.B11.3B.4B16.3A3.5A25.2A
6.7B2.2A$28.4B9.2AB.6B8.8B13.2A2.A44.6B3.A49.4B9.2AB.6B8.8B13.2A2.A
44.6B3.A$27.4B11.B3.6B7.3BA4B13.A7.9A2.2A29.7B.A.2A45.4B11.B3.6B7.8B
13.A7.9A2.2A29.7B.A.2A$26.4B15.7B3.7BABA3B13.A6.A8.A2.A28.4B2.2A.2A.A
44.4B15.7B3.13B13.A6.A8.A2.A28.4B2.2A.2A.A$25.4B15.14B2A2B2A4B12.2A9.
4A2.2A29.4B4.A48.4B15.14B2A8B12.2A9.4A2.2A29.4B4.A$24.4B16.14B2A7B13.
B9.A3.A32.4B3.A.A47.4B16.14B2A7B13.B9.A3.A32.4B3.A.A$23.4B17.21B13.3B
9.2A10.2A22.4B4.2A47.4B17.21B13.3B9.2A10.2A22.4B4.2A$22.4B18.21B11.6B
5.5B10.A22.4B53.4B18.21B11.6B5.5B10.A22.4B$21.4B19.20B9.10B3.4B9.BA.A
21.4B53.4B19.20B9.10B3.4B9.BA.A21.4B$11.2A7.4B21.20B2.2B3.11B2.6B4.3B
.B2A10.A10.4B44.2A7.4B21.20B2.2B3.11B2.6B4.3B.B2A10.A10.4B$10.B2AB5.
4B22.16BD15B2A3BD9B.7B12.3A7.4B44.B2AB5.4B22.16BD15B2A3BD9B.7B12.3A7.
4B$10.3B5.4B23.14BDBD15B2A2B2D17B15.A5.4B45.3B5.4B23.14BDBD15B2A2B2D
17B15.A5.4B$11.B.B3.4B25.13B3D18B2D17B15.2A4.4B47.B.B3.4B25.13B3D18B
2D17B15.2A4.4B$9.6B.4B26.13BD21BD18B14.9B6.2A38.6B.4B26.13BD21BD18B
14.9B6.2A$2A7.10B27.8B2.26BD19B14.6B7.A30.2A7.10B27.8B2.26BD19B14.6B
7.A$.A4.12B7.2A19.7B10.4B.13B3.B.19B2.2B2.B3.6B5.2A.A31.A4.12B7.2A19.
7B10.4B.13B3.B.19B2.2B2.B3.6B5.2A.A$.A.A13B8.A20.6B12.4B4.B.7B7.33B4.
A2.A32.A.A13B8.A20.6B12.4B4.B.7B7.33B4.A2.A$2.2A12B6.BA.A19.7B13.4B
19.6B.27B3.B2A34.2A12B6.BA.A19.7B13.4B19.6B.27B3.B2A$4.12B2.3B.B2A10.
A10.5B15.4B16.5B.B2.16B2A14B37.12B2.3B.B2A10.A10.5B15.4B16.5B.B2.16B
2A14B$4.19B12.3A7.6B16.4B15.2A7.16B2A13B38.19B12.3A7.6B16.4B15.2A7.
16B2A13B$4.19B15.A5.9B15.4B15.A8.29B39.19B15.A5.9B15.4B11.A3.A8.29B$
4.18B15.2A4.7B.2A16.4B11.3A16.2B.B.17B39.18B15.2A4.7B.2A16.4B10.4A16.
2B.B.17B$4.19B14.9B5.A18.4B10.A17.3B4.15B40.19B14.9B5.A18.4B28.3B4.
15B$2.2A21B14.6B7.3A16.4B23.2A.2BA5.15B38.2A21B14.6B7.3A16.4B8.2A13.
2A.2BA5.15B$.A.AB2.21B2.2B2.B3.6B5.3A2.A17.4B22.A.2BA.A5.13B38.A.AB2.
21B2.2B2.B3.6B5.3A2.A17.4B6.B2AB12.A.2BA.A5.13B$.A6.16BD19B4.A2.A21.
4B22.A2.BA.A2.13B40.A6.16BD6BA12B4.A2.A21.4B5.4B13.A2.BA.A2.13B$2A7.
13BDBD20B3.B2A23.4B22.A3.A.A.2A4.8B38.2A7.13BDBD5B2A13B3.B2A23.4B5.2B
15.A3.A.A.2A4.8B$9.8B.4B3D25B25.4B19.A.4A2.AB2A6.6B47.8B.4B3D4B2ABA
17B25.4B2.4B7.A5.A.4A2.AB2A6.6B$9.6B3.4BD16BA9B27.4B17.A.A3.A.A2.B8.
5B47.6B3.4BD7BABA16B27.4B.5B5.A.A3.A.A3.A.A2.B8.5B$9.5B5.19BA9B29.4B
16.A.A2.A2.2A.2A9.B.B47.5B5.12B2A4BA10B29.14B.A4.A.A2.A2.2A.2A9.B.B$
9.5B12.4B.3B3A2BA8B30.4B16.A3.2A2.A.A9.3B48.5B12.4B.17B30.14B6.A3.2A
2.A.A9.3B$9.2B2AB11.5B2.BA2BA10B32.4B23.A.A9.B2AB47.2B2AB11.5B2.15B
31.14B14.A.A9.B2AB$11.2A8.2A.2BA.2B2.BA4BA8B33.4B23.A11.2A50.2A8.2A.
2BA.2B2.15B30.6BD8B15.A11.2A$21.A.2BA.A.B3.2A11B35.4B96.A.2BA.A.B3.
13B30.5BDBD4B2A3B$22.A2.BA.A2.7BA5B38.4B96.A2.BA.A2.13B31.7B2D4B2A3B$
23.A3.A.A.2A4.A7B38.4B96.A3.A.A.2A4.8B29.4B2.11B.B2A$21.A.4A2.AB2A6.
6B39.4B93.A.4A2.AB2A6.6B28.4B5.8B2.BA.A$20.A.A3.A.A2.B8.5B40.4B91.A.A
3.A.A2.B8.5B27.4B4.10B5.A$20.A.A2.A2.2A.2A9.B.B41.4B90.A.A2.A2.2A.2A
9.B.B26.4B5.2A5.B.B5.2A$21.A3.2A2.A.A9.3B43.3BA90.A3.2A2.A.A9.3B26.A
3B7.A4.3B$29.A.A9.B2AB43.3BA97.A.A9.B2AB24.A3B5.3A5.B2AB$30.A11.2A45.
3A98.A11.2A25.3A6.A8.2A2$92.2A133.2A$92.A135.A$93.3A129.3A$95.A129.A!
#C [[ THUMBNAIL THUMBSIZE 2 WIDTH 656 THUMBZOOM 2 THUMBLAUNCH POPUPWIDTH 1000 Z 2 ]]

I'm afraid I might have to watch the signals going around for a lot longer before the math will make sense to me. This was an accidental discovery while I was checking what the timing difference was for the three H-to-G glider rephasers that Jormungant suggested.

That comparison turns out to look like this:

Code: Select all

x = 147, y = 280, rule = LifeHistory
50.2A11.A$49.B2AB9.A.A$50.3B9.A.A2.2A3.A$24.2D3.2D2.4D12.B.B9.2A.2A2.
A2.A.A38.2A$23.D2.D.D2.D.D15.5B8.B2.A.A3.A.A17.2A20.A14.2A$23.D2.D.D
2.D.D15.6B6.2ABA2.4A.A19.A6.2A12.A.AB11.2A$24.3D2.2D2.3D13.8B4.2A.A.A
3.A21.A.AB.2B2AB12.2AB.B.3B$26.D.D2.D4.D13.13B2.A.AB2.A15.2A4.2AB.4B
15.7B3.4A$26.D.D2.D4.D11.13B5.A.A2B.A14.A.A4.8B14.7B2.A3.A$23.3D3.2D
2.3D11.15B5.A2B.2A11.BA.A.3A3.9B12.7B.2BAB$47.15B4.3B12.2A.B2A5.A2.9B
10.10BABAB$46.17B.B.2B12.B2A2B6.2A.3B2A6B2.2B2.13B2A2B$46.29B6.4B6.5B
A2BA27B.2A$45.13B2A16B3.6B8.4BABA25B4.A$44.14B2A16B2.6B7.7B2A3B2A18B
6.A.A$43.2AB3.27B.7B6.13B2A18B7.2A$42.A2.A4.35B5.34B12.2A$41.A.2A5.6B
3.B2.2B2.20B3.12B.2B.3B.4B8.4B10.A.A$41.A7.6B14.30B11.2B3.B6.4B4.2A2.
A$40.2A6.9B14.29B10.3B.B2A6.4B3.A2.A.2A$47.4B4.2A15.31B8.A3B2A7.4B4.
2A.A.A$46.4B5.A15.33B6.A.AB.B9.4B4.B.BAB$45.4B7.3A12.32B6.A.AB13.4B2.
5B5.2A$44.4B10.A10.2AB.3B2.21B10.A17.9B6.A$43.4B21.A.AB6.20B10.2A18.B
2A6B2.BA.A$42.4B22.A8.20B32.2A7B.B2A$41.4B22.2A7.12B.8B.B29.12B$40.4B
31.10B5.8B2A.2A25.12B$39.4B31.4B.6B6.7B.A.A26.12B$38.4B31.4B3.B.B10.
5BA3.A23.2AB.2B2A5B$37.4B31.4B5.3B7.5B2.A.2A23.A.AB2.ABA5B$36.4B31.4B
5.B2AB7.2A3.2A2.A24.A5.BA6B$35.4B25.2A4.4B7.2A9.A2.A4.A23.2A6.7B2.2A$
34.4B25.B2AB2.4B16.3A3.5A33.6B3.A$33.4B13.2A12.3B.4B9.4A4.A44.7B.A.2A
$32.4B14.2A13.A.4B10.A3.A11.A35.4B2.2A.2A.A$31.4B22.3B.3BABA3B14.2A9.
3A34.4B4.A$21.2A7.4B16.4A3.6BA3BA2B14.B9.A36.4B3.A.A$20.B2AB5.4B17.A
3.A2.6BA3BA3B11.3B9.2A10.2A22.4B4.2A$20.3B5.4B20.BA2B.6BA3BA3B9.6B5.
5B10.A22.4B$21.B.B3.4B21.BABA8BABA3B7.10B3.4B9.BA.A21.4B$19.6B.4B22.
2B2A9BA3B2.2B3.11B2.6B4.3B.B2A10.A10.4B$10.2A7.10B18.2A.2A.28B2A13B.
7B12.3A7.4B$11.A4.12B7.2A11.A.A4.26B2A21B15.A5.4B$11.A.A13B8.A12.A.A
6.46B15.2A4.4B$12.2A12B6.BA.A13.A7.47B14.9B6.2A$14.12B2.3B.B2A10.A10.
50B14.6B7.A$14.19B12.3A7.5B7.4B.13B3.B.19B2.2B2.B3.6B5.2A.A$14.19B15.
A5.4B10.4B4.B.7B7.33B4.A2.A$14.18B15.2A4.4B12.4B19.6B.27B3.B2A$14.19B
14.9B6.2A6.4B16.5B.B2.16B2A14B$12.2A21B14.6B7.A8.4B15.2A7.16B2A13B$
11.A.AB2.21B2.2B2.B3.6B5.2A.A9.4B15.A8.29B$11.A6.16BD19B4.A2.A11.4B
11.3A16.2B.B.17B$10.2A7.13BDBD20B3.B2A13.4B10.A17.3B4.15B$19.8B.4B3D
25B15.4B23.2A.2BA5.15B$19.6B3.4BD26B17.4B22.A.2BA.A5.13B$19.5B5.14B3A
12B19.4B22.A2.BA.A2.13B$19.5B12.4B.3BA2B2A9B20.4B22.A3.A.A.2A4.8B$19.
2B2AB11.5B2.4BABA8B22.4B19.A.4A2.AB2A6.6B$21.2A8.2A.2BA.2B2.15B23.4B
17.A.A3.A.A2.B8.5B$31.A.2BA.A.B3.13B25.4B16.A.A2.A2.2A.2A9.B.B$32.A2.
BA.A2.13B28.4B16.A3.2A2.A.A9.3B$33.A3.A.A.2A4.8B28.4B23.A.A9.B2AB$31.
A.4A2.AB2A6.6B29.4B23.A11.2A$30.A.A3.A.A2.B8.5B30.4B$30.A.A2.A2.2A.2A
9.B.B31.4B$31.A3.2A2.A.A9.3B33.3BA$39.A.A9.B2AB33.3BA$40.A11.2A35.3AB
$90.4B$92.2A$92.A$93.3A$95.A26$50.2A11.A$49.B2AB9.A.A$50.3B9.A.A2.2A
3.A$49.B.B9.2A.2A2.A2.A.A38.2A$49.5B8.B2.A.A3.A.A17.2A20.A14.2A$8.D3.
2D3.2D2.4D24.6B6.2ABA2.4A.A19.A6.2A12.A.AB11.2A$7.2D2.D2.D.D2.D.D27.
8B4.2A.A.A3.A21.A.AB.2B2AB12.2AB.B.3B$8.D2.D2.D4.D.D28.13B2.A.AB2.A
15.2A4.2AB.4B15.7B3.4A$8.D2.D2.D2.2D2.3D24.13B5.A.A2B.A14.A.A4.8B14.
7B2.A3.A$8.D2.D2.D4.D4.D22.15B5.A2B.2A11.BA.A.3A3.9B12.7B.2BAB$8.D2.D
2.D.D2.D4.D22.15B4.3B12.2A.B2A5.A2.9B10.10BABAB$7.3D2.2D3.2D2.3D22.
17B.B.2B12.B2A2B6.2A.11B2.2B2.13B2A2B$46.29B6.4B6.36B.2A$45.13B2A16B
3.6B8.BA30B4.A$44.14B2A16B2.6B7.2B3A7B2A18B6.A.A$43.2AB3.27B.7B6.3BA
2BA6B2A18B7.2A$42.A2.A4.35B5.BAB5A26B$41.A.2A5.6B3.B2.2B2.20B3.B2AB4A
4B.2B.3B.4B8.4B12.2A$41.A7.6B14.30B11.2B3.B6.4B10.A.A$40.2A6.9B14.21B
A7B10.3B.B2A6.4B4.2A2.A$47.4B4.2A15.26B2A3B8.A3B2A7.4B3.A2.A.2A$46.4B
5.A15.23B3AB3A3B6.A.AB.B9.4B4.2A.A.A$45.4B7.3A12.27B2A3B6.A.AB13.4B4.
B.BAB$44.4B10.A10.2AB.3B2.14BA6B10.A17.4B2.5B5.2A$43.4B21.A.AB6.20B
10.2A18.9B6.A$42.4B22.A8.13B2AB4A32.B2A6B2.BA.A$41.4B22.2A7.12B.2BAB
4A.B31.2A7B.B2A$40.4B31.10B5.3BA2B4A.2A26.12B$39.4B31.4B.6B6.2B3ABA.A
.A27.12B$38.4B31.4B3.B.B10.BA3BA3.A26.12B$37.4B31.4B5.3B7.5B2.A.2A25.
2AB.2B2A5B$36.4B10.BA19.4B5.B2AB7.2A3.2A2.A25.A.AB2.ABA5B$35.4B8.B.BA
.A17.4B7.2A9.A2.A4.A25.A5.BA6B$34.4B8.2A2B2A.B11.3B.4B16.3A3.5A25.2A
6.7B2.2A$33.4B9.2AB.6B8.8B13.2A2.A44.6B3.A$32.4B11.B3.6B7.3BA4B13.A7.
9A2.2A29.7B.A.2A$31.4B15.7B3.7BABA3B13.A6.A8.A2.A28.4B2.2A.2A.A$30.4B
15.14B2A2B2A4B12.2A9.4A2.2A29.4B4.A$29.4B16.14B2A7B13.B9.A3.A32.4B3.A
.A$28.4B17.21B13.3B9.2A10.2A22.4B4.2A$27.4B18.21B11.6B5.5B10.A22.4B$
26.4B19.20B9.10B3.4B9.BA.A21.4B$16.2A7.4B21.20B2.2B3.11B2.6B4.3B.B2A
10.A10.4B$15.B2AB5.4B22.16BD15B2A3BD9B.7B12.3A7.4B$15.3B5.4B23.14BDBD
15B2A2B2D17B15.A5.4B$16.B.B3.4B25.13B3D18B2D17B15.2A4.4B$14.6B.4B26.
13BD21BD18B14.9B6.2A$5.2A7.10B27.8B2.26BD19B14.6B7.A$6.A4.12B7.2A19.
7B10.4B.13B3.B.19B2.2B2.B3.6B5.2A.A$6.A.A13B8.A20.6B12.4B4.B.7B7.33B
4.A2.A$7.2A12B6.BA.A19.7B13.4B19.6B.27B3.B2A$9.12B2.3B.B2A10.A10.5B
15.4B16.5B.B2.16B2A14B$9.19B12.3A7.6B16.4B15.2A7.16B2A13B$9.19B15.A5.
9B15.4B15.A8.29B$9.18B15.2A4.7B.2A16.4B11.3A16.2B.B.17B$9.19B14.9B5.A
18.4B10.A17.3B4.15B$7.2A21B14.6B7.3A16.4B23.2A.2BA5.15B$6.A.AB2.21B2.
2B2.B3.6B5.3A2.A17.4B22.A.2BA.A5.13B$6.A6.16BD19B4.A2.A21.4B22.A2.BA.
A2.13B$5.2A7.13BDBD20B3.B2A23.4B22.A3.A.A.2A4.8B$14.8B.4B3D25B25.4B
19.A.4A2.AB2A6.6B$14.6B3.4BD16BA9B27.4B17.A.A3.A.A2.B8.5B$14.5B5.19BA
9B29.4B16.A.A2.A2.2A.2A9.B.B$14.5B12.4B.3B3A2BA8B30.4B16.A3.2A2.A.A9.
3B$14.2B2AB11.5B2.BA2BA10B32.4B23.A.A9.B2AB$16.2A8.2A.2BA.2B2.BA4BA8B
33.4B23.A11.2A$26.A.2BA.A.B3.2A11B35.4B$27.A2.BA.A2.7BA5B38.4B$28.A3.
A.A.2A4.A7B38.4B$26.A.4A2.AB2A6.6B39.4B$25.A.A3.A.A2.B8.5B40.4B$25.A.
A2.A2.2A.2A9.B.B41.4B$26.A3.2A2.A.A9.3B43.3BA$34.A.A9.B2AB43.3BA$35.A
11.2A45.3A2$97.2A$97.A$98.3A$100.A16$50.2A11.A$49.B2AB9.A.A$50.3B9.A.
A2.2A3.A$20.D3.2D2.4D2.3D12.B.B9.2A.2A2.A2.A.A38.2A$19.2D2.D2.D4.D.D
15.5B8.B2.A.A3.A.A17.2A20.A14.2A$20.D2.D2.D4.D.D15.6B6.2ABA2.4A.A19.A
6.2A12.A.AB11.2A$20.D2.D2.D3.D2.3D13.8B4.2A.A.A3.A21.A.AB.2B2AB12.2AB
.B.3B$20.D2.D2.D3.D2.D2.D13.13B2.A.AB2.A15.2A4.2AB.4B15.7B3.4A$20.D2.
D2.D2.D3.D2.D11.13B5.A.A2B.A14.A.A4.8B14.7B2.A3.A$19.3D2.2D3.D4.2D11.
15B5.A2B.2A11.BA.A.3A3.9B12.7B.2BAB$47.15B4.3B12.2A.B2A5.A2.9B10.10BA
BAB$46.17B.B.2B12.B2A2B6.2A.11B2.2B2.13B2A2B$46.29B6.4B6.36B.2A$45.
13B2A16B3.6B8.32B4.A$44.14B2A16B2.6B7.12B2A18B6.A.A$43.2AB3.27B.7B6.
13B2A18B7.2A$42.A2.A4.35B5.34B12.2A$41.A.2A5.6B3.B2.2B2.20B3.12B.2B.
3B.4B8.4B10.A.A$41.A7.6B14.30B11.2B3.B6.4B4.2A2.A$40.2A6.9B14.17BA3BA
7B10.3B.B2A6.4B3.A2.A.2A$47.4B4.2A15.16B2A2BA10B8.A3B2A7.4B4.2A.A.A$
46.4B5.A15.12BA4BA4BA10B6.A.AB.B9.4B4.B.BAB$45.4B7.3A12.11BABA4B4A10B
6.A.AB13.4B2.5B5.2A$44.4B10.A10.2AB.3B2.3BA6BAB3A6B10.A17.9B6.A$43.4B
21.A.AB6.4B2A5B2A7B10.2A18.B2A6B2.BA.A$42.4B22.A8.20B32.2A7B.B2A$41.
4B22.2A7.12B.8B.B29.12B$40.4B31.10B5.8B2A.2A25.12B$39.4B31.4B.6B6.7B.
A.A26.12B$38.4B31.4B3.B.B10.5BA3.A23.2AB.2B2A5B$37.4B12.2A11.2A4.A3B
5.3B7.5B2.A.2A23.A.AB2.ABA5B$36.4B12.B2A2B8.B2AB2.BABA5.B2AB4.A2.2A3.
2A2.A24.A5.BA6B$35.4B12.B.4B9.3B.2B2A7.2A3.3A3.A2.A4.A23.2A6.7B2.2A$
34.4B13.7B9.B.4B12.A3.3A4.4A33.6B3.A$33.4B13.9B.12B14.A2.A44.7B.A.2A$
32.4B14.13B2A7B13.2A9.4A33.4B2.2A.2A.A$31.4B16.12B2A8B12.B9.A3.A32.4B
4.A$30.4B17.22B10.3B9.2A10.2A22.4B3.A.A$29.4B15.2B.21B9.6B5.5B10.A22.
4B4.2A$28.4B15.2A22B7.10B3.4B9.BA.A21.4B$27.4B16.2AB.19B2.2B3.12B.6B
4.3B.B2A10.A10.4B$26.4B18.B2.15BD15B2A3BD9B.7B12.3A7.4B$25.4B23.7B.4B
DBD15B2A2B2D17B15.A5.4B$24.4B23.13B3D18B2D17B15.2A4.4B$23.4B24.13BD
21BD18B14.9B6.2A$22.4B25.36BD19B14.6B7.A$21.4B23.AB.9B8.4B.13B.B.B.
19B2.2B2.B3.6B5.2A.A$11.2A7.4B23.A.A9B10.4B4.B.7B7.33B4.A2.A$10.B2AB
5.4B25.A9B12.4B19.6B.27B3.B2A$10.3B5.4B27.B.6B14.4B16.5B.B2.16B2A14B$
11.B.B3.4B31.5B15.4B15.2A7.16B2A13B$9.6B.4B31.6B16.4B15.A8.29B$2A7.
10B31.5B.B2A15.4B11.3A16.2B.B.17B$.A4.12B7.2A22.4B3.BA.A15.4B10.A17.
3B4.15B$.A.A13B8.A22.4B7.A16.4B23.2A.2BA5.15B$2.2A12B6.BA.A21.4B8.2A
16.4B22.A.2BA.A5.13B$4.12B2.3B.B2A10.A10.4B28.4B22.A2.BA.A2.13B$4.19B
12.3A7.4B30.4B22.A3.A.A.2A4.8B$4.19B15.A5.4B32.4B19.A.4A2.AB2A6.6B$4.
18B15.2A4.4B34.4B17.A.A3.A.A2.B8.5B$4.19B14.9B6.A29.4B16.A.A2.A2.2A.
2A8.2B.B$2.2A21B14.6B5.3A30.4B16.A3.2A2.A.A9.3B$.A.AB2.21B2.2B2.B3.6B
5.A34.4B23.A.A9.B2AB$.A6.16BD19B4.A.B2A32.4B23.A11.2A$2A7.13BDBD20B3.
B2A2.A32.4B$9.8B.4B3D25B2.2A33.4B$9.6B3.4BD16B2A8B39.4B$9.5B5.19BA9B
41.4B$9.5B12.4B.4BA3B2A7B42.4B$9.2B2AB11.5B2.2B3A10B44.4B$11.2A8.2A.
2BA.2B2.B2A2BA9B45.4B$21.A.2BA.A.B3.B5A7B47.4B$22.A2.BA.A2.5B3A5B50.
4B$23.A3.A.A.2A4.8B50.4B$21.A.4A2.AB2A6.6B51.4B$20.A.A3.A.A2.B8.5B52.
4B$20.A.A2.A2.2A.2A9.B.B53.4B$21.A3.2A2.A.A9.3B55.3BA$29.A.A9.B2AB55.
3BA$30.A11.2A57.3A$102.4B$104.2A$104.A$105.3A$107.A!

-- so the second H-to-G makes a difference of +2 mod 8 compared to the first one, and the third H-to-G is +3 mod 8 compared to the first one.

It seems as if the multiple-signals trick ought to work for the original H-to-G as well as for the second one, but I'm having a hard time finding a timing that works. For example:

Code: Select all

x = 290, y = 79, rule = LifeHistory
40.2A11.A136.2A11.A$39.B2AB9.A.A134.B2AB9.A.A$40.3B9.A.A2.2A3.A127.3B
9.A.A2.2A3.A$4.2D3.2D3.2D11.2D10.B.B9.2A.2A2.A2.A.A38.2A50.2D3.2D3.2D
8.D3.D3.2D5.B.B9.2A.2A2.A2.A.A38.2A$3.D2.D.D2.D.D2.D2.D3.D2.D2.D9.5B
8.B2.A.A3.A.A17.2A20.A14.2A33.D2.D.D2.D.D2.D7.2D2.D2.D2.D4.5B8.B2.A.A
3.A.A17.2A20.A14.2A$3.D2.D.D2.D.D2.D3.D.D6.D9.6B6.2ABA2.4A.A19.A6.2A
12.A.AB11.2A33.D2.D.D2.D.D2.D3.D3.2D2.D5.D4.6B6.2ABA2.4A.A19.A6.2A12.
A.AB11.2A$4.3D2.2D3.2D5.D7.D9.8B4.2A.A.A3.A21.A.AB.2B2AB12.2AB.B.3B
41.3D2.2D3.2D3.3D2.D.D.D3.2D5.8B4.2A.A.A3.A21.A.AB.2B2AB12.2AB.B.3B$
6.D.D2.D.D2.D3.D.D5.D11.13B2.A.AB2.A15.2A4.2AB.4B15.7B3.4A36.D.D2.D.D
2.D3.D3.D.D.D3.D7.13B2.A.AB2.A15.2A4.2AB.4B15.7B3.4A$6.D.D2.D.D2.D2.D
3.D3.D10.13B5.A.A2B.A14.A.A4.8B14.7B2.A3.A36.D.D2.D.D2.D7.D2.2D9.13B
5.A.A2B.A14.A.A4.8B14.7B2.A3.A$3.3D3.2D3.2D10.4D7.15B5.A2B.2A11.BA.A.
3A3.9B12.7B.2BAB35.3D3.2D3.2D8.D3.D3.D4.15B5.A2B.2A11.BA.A.3A3.9B12.
7B.2BAB$37.15B4.3B12.2A.B2A5.A2.9B10.10BABAB69.15B4.3B12.2A.B2A5.A2.
9B10.10BABAB$36.17B.B.2B12.B2A2B6.2A.11B2.2B2.13B2A2B68.17B.B.2B12.B
2A2B6.2A.11B2.2B2.13B2A2B$36.29B6.4B6.24BA11B.2A66.29B6.4B6.24BA11B.
2A$35.13B2A16B3.6B8.20B2ABA8B4.A65.13B2A7B3A6B3.6B8.20B2ABA8B4.A$34.
14B2A16B2.6B7.12B2A9BAB2A5B6.A.A62.14B2A7BA8B2.6B7.12B2A9BAB2A5B6.A.A
$33.2AB3.27B.7B6.13B2A11BA6B7.2A4.2A55.2AB3.19BA7B.7B6.13B2A11BA6B7.
2A4.2A$32.A2.A4.35B5.34B13.A54.A2.A4.28BA6B5.34B13.A$31.A.2A5.6B3.B2.
2B2.20B3.12B.2B.3B.4B8.4B10.A5.2A48.A.2A5.6B3.B2.2B2.8BABAB2A6B3.12B.
2B.3B.4B8.4B10.A5.2A$31.A7.6B14.30B11.2B3.B6.4B9.2A5.A48.A7.6B14.5B3A
2B2A18B11.2B3.B6.4B9.2A5.A$30.2A6.9B14.29B10.3B.B2A6.4B11.3B.A.2A44.
2A6.9B14.3BABA2BA20B10.3B.B2A6.4B11.3B.A.2A$37.4B4.2A15.31B8.A3B2A7.
4B7.2A2B2A.A2.A51.4B4.2A15.2A3B2A24B8.A3B2A7.4B7.2A2B2A.A2.A$36.4B5.A
15.33B6.A.AB.B9.4B5.B2A2B.A.2A52.4B5.A15.B2AB3A26B6.A.AB.B9.4B5.B2A2B
.A.2A$35.4B7.3A12.32B6.A.AB13.4B5.4B.A54.4B7.3A12.4B2A26B6.A.AB13.4B
5.4B.A$34.4B10.A10.2AB.3B2.21B10.A17.4B3.4B.2A53.4B10.A10.2AB.3B2.21B
10.A17.4B3.4B.2A$33.4B21.A.AB6.20B10.2A18.6BA3B55.4B21.A.AB6.20B10.2A
18.6BA3B$32.4B22.A8.20B32.4BABA2B7.2A45.4B22.A8.20B32.4BABA2B7.2A$31.
4B22.2A7.12B.8B.B31.4BA3B8.A44.4B22.2A7.12B.8B.B31.4BA3B8.A$30.4B31.
10B5.8B2A.2A28.10B3.B.A.2A40.4B31.10B5.8B2A.2A28.10B3.B.A.2A$29.4B31.
4B.6B6.7B.A.A29.7B2A2B.B3A2.A39.4B31.4B.6B6.7B.A.A29.7B2A2B.B3A2.A$
28.4B31.4B3.B.B10.5BA3.A28.7B2A3BAB2.2A39.4B31.4B3.B.B10.5BA3.A28.7B
2A3BAB2.2A$27.4B31.4B5.3B7.5B2.A.2A29.12B4A40.4B31.4B5.3B7.5B2.A.2A
29.12B4A$26.4B31.4B5.B2AB7.2A3.2A2.A28.2AB.7B3.2B.A39.4B31.4B5.B2AB7.
2A3.2A2.A28.2AB.7B3.2B.A$25.4B25.2A4.4B7.2A9.A2.A4.A27.A.AB.7B2.B3A
39.4B25.2A4.4B7.2A9.A2.A4.A27.A.AB.7B2.B3A$24.4B25.B2AB2.4B16.3A3.5A
28.A5.4B4.A41.4B25.B2AB2.4B16.3A3.5A28.A5.4B4.A$23.4B13.2A12.3B.4B9.
4A4.A37.2A5.4B5.5A35.4B13.2A12.3B.4B9.4A4.A37.2A5.4B5.5A$22.4B14.2A
13.B.4B10.A3.A11.A35.4B10.A34.4B14.2A13.B.4B10.A3.A11.A35.4B10.A$21.
4B22.3B.9B14.2A9.3A34.4B9.A35.4B22.3B.9B14.2A9.3A34.4B9.A$11.2A7.4B
16.4A3.13B14.B9.A36.4B10.2A24.2A7.4B16.4A3.13B14.B9.A36.4B10.2A$10.B
2AB5.4B17.A3.A2.14B11.3B9.2A10.2A22.4B36.B2AB5.4B17.A3.A2.14B11.3B9.
2A10.2A22.4B$10.3B5.4B20.BA2B.14B9.6B5.5B10.A22.4B37.3B5.4B20.BA2B.
14B9.6B5.5B10.A22.4B$11.B.B3.4B21.BABA14B7.10B3.4B9.BA.A21.4B39.B.B3.
4B21.BABA14B7.10B3.4B9.BA.A21.4B$9.6B.4B22.2B2A13B2.2B3.11B2.6B4.3B.B
2A10.A10.4B38.6B.4B22.2B2A13B2.2B3.11B2.6B4.3B.B2A10.A10.4B$2A7.10B
18.2A.2A.28B2A13B.7B12.3A7.4B30.2A7.10B18.2A.2A.28B2A13B.7B12.3A7.4B$
.A4.12B7.2A11.A.A4.26B2A21B15.A5.4B32.A4.12B7.2A11.A.A4.26B2A21B15.A
5.4B$.A.A13B8.A12.A.A6.46B15.2A4.4B33.A.A13B8.A12.A.A6.46B15.2A4.4B$
2.2A12B6.BA.A13.A7.47B14.9B6.2A27.2A12B6.BA.A13.A7.47B14.9B6.2A$4.12B
2.3B.B2A10.A10.50B14.6B7.A30.12B2.3B.B2A10.A10.50B14.6B7.A$4.19B12.3A
7.5B7.4B.13B3.B.19B2.2B2.B3.6B5.2A.A30.19B12.3A7.5B7.4B.13B3.B.19B2.
2B2.B3.6B5.2A.A$4.19B15.A5.4B10.4B4.B.7B7.33B4.A2.A31.19B15.A5.4B10.
4B4.B.7B7.33B4.A2.A$4.18B15.2A4.4B12.4B19.6B.27B3.B2A32.18B15.2A4.4B
12.4B19.6B.27B3.B2A$4.19B14.9B6.2A6.4B16.5B.B2.16B2A14B33.19B14.9B6.
2A6.4B16.5B.B2.16B2A14B$2.2A21B14.6B7.A8.4B15.2A7.16B2A13B32.2A21B14.
6B7.A8.4B15.2A7.16B2A13B$.A.AB2.21B2.2B2.B3.6B5.2A.A9.4B11.A3.A8.29B
32.A.AB2.21B2.2B2.B3.6B5.2A.A9.4B11.A3.A8.29B$.A6.12B4ADA18B4.A2.A11.
4B10.4A16.2B.B.17B32.A6.12B4ADA18B4.A2.A11.4B10.4A16.2B.B.17B$2A7.10B
A2BDBCA19B3.B2A13.4B28.3B4.15B32.2A7.10BA2BDBCA19B3.B2A13.4B28.3B4.
15B$9.8B.2ABA3DA8B2A14B15.4B8.2A13.2A.2BA5.15B41.8B.2ABA3DA8B2A14B15.
4B8.2A13.2A.2BA5.15B$9.6B3.2BABC2A9B2A13B17.4B6.B2AB12.A.2BA.A5.13B
42.6B3.2BABC2A9B2A13B17.4B6.B2AB12.A.2BA.A5.13B$9.5B5.29B19.4B5.4B13.
A2.BA.A2.13B44.5B5.29B19.4B5.4B13.A2.BA.A2.13B$9.5B12.4B.17B20.4B5.2B
15.A3.A.A.2A4.8B43.5B12.4B.17B20.4B5.2B15.A3.A.A.2A4.8B$9.2B2AB11.5B
2.15B22.4B2.4B7.A5.A.4A2.AB2A6.6B43.2B2AB11.5B2.15B22.4B2.4B7.A5.A.4A
2.AB2A6.6B$11.2A8.2A.2BA.2B2.15B23.4B.5B5.A.A3.A.A3.A.A2.B8.5B45.2A8.
2A.2BA.2B2.15B23.4B.5B5.A.A3.A.A3.A.A2.B8.5B$21.A.2BA.A.B3.13B25.14B.
A4.A.A2.A2.2A.2A9.B.B55.A.2BA.A.B3.13B25.14B.A4.A.A2.A2.2A.2A9.B.B$
22.A2.BA.A2.13B28.14B6.A3.2A2.A.A9.3B57.A2.BA.A2.13B28.14B6.A3.2A2.A.
A9.3B$23.A3.A.A.2A4.8B27.14B14.A.A9.B2AB57.A3.A.A.2A4.8B27.14B14.A.A
9.B2AB$21.A.4A2.AB2A6.6B26.6BD8B15.A11.2A56.A.4A2.AB2A6.6B26.6BD8B15.
A11.2A$20.A.A3.A.A2.B8.5B25.5BDBD4B2A3B83.A.A3.A.A2.B8.5B25.5BDBD4B2A
3B$20.A.A2.A2.2A.2A9.B.B24.7B2D4B2A3B83.A.A2.A2.2A.2A9.B.B24.7B2D4B2A
3B$21.A3.2A2.A.A9.3B24.4B2.11B.B2A82.A3.2A2.A.A9.3B24.4B2.11B.B2A$29.
A.A9.B2AB22.4B5.8B2.BA.A89.A.A9.B2AB22.4B5.8B2.BA.A$30.A11.2A22.4B4.
10B5.A90.A11.2A22.4B4.10B5.A$65.4B5.2A5.B.B5.2A124.4B5.2A5.B.B5.2A$
64.A3B7.A4.3B131.4B7.A4.3B$63.A3B5.3A5.B2AB129.4B5.3A5.B2AB$63.3A6.A
8.2A130.3B6.A8.2A$61.4B146.4B$61.2A148.2A$62.A149.A$59.3A147.3A$59.A
149.A!

Is there an adjustment of the base loop size that allows the same mathematical weirdness to happen here as in the p1621 above?

[chris_c]

Is there an adjustment of the base loop size that allows the same mathematical weirdness to happen here as in the p1621 above?

I don't think this about the base loop size because you get the exact same crash no matter what the base size. More this is about the sequence of the gliders I think. Just adding a single block to your pattern to destroy the first glider from the Herschel at top-middle allows the gun to function as p1534:

Code: Select all

x = 140, y = 79, rule = LifeHistory
40.2A11.A$39.B2AB9.A.A$40.3B9.A.A2.2A3.A$4.2D3.2D3.2D8.D3.D3.2D5.B.B
9.2A.2A2.A2.A.A38.2A$3.D2.D.D2.D.D2.D7.2D2.D2.D2.D4.5B8.B2.A.A3.A.A
17.2A20.A14.2A$3.D2.D.D2.D.D2.D3.D3.2D2.D5.D4.6B6.2ABA2.4A.A19.A6.2A
12.A.AB11.2A$4.3D2.2D3.2D3.3D2.D.D.D3.2D5.8B4.2A.A.A3.A21.A.AB.2B2AB
12.2AB.B.3B$6.D.D2.D.D2.D3.D3.D.D.D3.D7.13B2.A.AB2.A15.2A4.2AB.4B15.
7B3.4A$6.D.D2.D.D2.D7.D2.2D9.13B5.A.A2B.A14.A.A4.8B14.7B2.A3.A$3.3D3.
2D3.2D8.D3.D3.D4.15B5.A2B.2A11.BA.A.3A3.9B12.7B.2BAB$37.15B4.3B12.2A.
B2A5.A2.9B10.10BABAB$36.17B.B.2B12.B2A2B6.2A.11B2.2B2.13B2A2B$36.29B
6.4B6.24BA11B.2A$35.13B2A7B3A6B3.6B8.20B2ABA8B4.A$34.14B2A7BA8B2.6B7.
12B2A9BAB2A5B6.A.A$3.D3.D7.4D.D5.2D5.2AB3.19BA7B.7B6.13B2A11BA6B7.2A
4.2A$3.2D2.D7.D4.D2.D.D2.D3.A2.A4.28BA6B5.34B13.A$3.2D2.D2.3D2.D4.D2.
D.D5.A.2A5.6B3.B2.2B2.8BABAB2A6B3.12B.2B.3B.4B8.4B10.A5.2A$3.D.D.D8.
2D2.4D.3D3.A7.6B14.5B3A2B2A18B11.2B3.B6.4B9.2A5.A$3.D.D.D2.3D5.D4.D.D
2.D.2A6.9B14.3BABA2BA20B10.3B.B2A6.4B11.3B.A.2A$3.D2.2D7.D2.D4.D.D2.D
8.4B4.2A15.2A3B2A24B8.A3B2A7.4B7.2A2B2A.A2.A$3.D3.D8.2D8.2D8.4B5.A15.
B2AB3A26B6.A.AB.B9.4B5.B2A2B.A.2A$35.4B7.3A12.4B2A26B6.A.AB13.4B5.4B.
A$34.4B10.A10.2AB.3B2.21B10.A17.4B3.4B.2A$33.4B21.A.AB6.20B10.2A18.6B
A3B$32.4B22.A8.20B32.4BABA2B7.2A$31.4B22.2A7.12B.8B.B31.4BA3B8.A$30.
4B31.10B5.8B2A.2A28.10B3.B.A.2A$29.4B31.4B.6B6.7B.A.A29.7B2A2B.B3A2.A
$28.4B31.2A2B3.B.B10.5BA3.A28.7B2A3BAB2.2A$27.4B31.B2AB5.3B7.5B2.A.2A
29.12B4A$26.4B31.4B5.B2AB7.2A3.2A2.A28.2AB.7B3.2B.A$25.4B25.2A4.4B7.
2A9.A2.A4.A27.A.AB.7B2.B3A$24.4B25.B2AB2.4B16.3A3.5A28.A5.4B4.A$23.4B
13.2A12.3B.4B9.4A4.A37.2A5.4B5.5A$22.4B14.2A13.B.4B10.A3.A11.A35.4B
10.A$21.4B22.3B.9B14.2A9.3A34.4B9.A$11.2A7.4B16.4A3.13B14.B9.A36.4B
10.2A$10.B2AB5.4B17.A3.A2.14B11.3B9.2A10.2A22.4B$10.3B5.4B20.BA2B.14B
9.6B5.5B10.A22.4B$11.B.B3.4B21.BABA14B7.10B3.4B9.BA.A21.4B$9.6B.4B22.
2B2A13B2.2B3.11B2.6B4.3B.B2A10.A10.4B$2A7.10B18.2A.2A.28B2A13B.7B12.
3A7.4B$.A4.12B7.2A11.A.A4.26B2A21B15.A5.4B$.A.A13B8.A12.A.A6.46B15.2A
4.4B$2.2A12B6.BA.A13.A7.47B14.9B6.2A$4.12B2.3B.B2A10.A10.50B14.6B7.A$
4.19B12.3A7.5B7.4B.13B3.B.19B2.2B2.B3.6B5.2A.A$4.19B15.A5.4B10.4B4.B.
7B7.33B4.A2.A$4.18B15.2A4.4B12.4B19.6B.27B3.B2A$4.19B14.9B6.2A6.4B16.
5B.B2.16B2A14B$2.2A21B14.6B7.A8.4B15.2A7.16B2A13B$.A.AB2.21B2.2B2.B3.
6B5.2A.A9.4B11.A3.A8.29B$.A6.12B4ADA18B4.A2.A11.4B10.4A16.2B.B.17B$2A
7.10BA2BDBCA19B3.B2A13.4B28.3B4.15B$9.8B.2ABA3DA8B2A14B15.4B8.2A13.2A
.2BA5.15B$9.6B3.2BABC2A9B2A13B17.4B6.B2AB12.A.2BA.A5.13B$9.5B5.29B19.
4B5.4B13.A2.BA.A2.13B$9.5B12.4B.17B20.4B5.2B15.A3.A.A.2A4.8B$9.2B2AB
11.5B2.15B22.4B2.4B7.A5.A.4A2.AB2A6.6B$11.2A8.2A.2BA.2B2.15B23.4B.5B
5.A.A3.A.A3.A.A2.B8.5B$21.A.2BA.A.B3.13B25.14B.A4.A.A2.A2.2A.2A9.B.B$
22.A2.BA.A2.13B28.14B6.A3.2A2.A.A9.3B$23.A3.A.A.2A4.8B27.14B14.A.A9.B
2AB$21.A.4A2.AB2A6.6B26.6BD8B15.A11.2A$20.A.A3.A.A2.B8.5B25.5BDBD4B2A
3B$20.A.A2.A2.2A.2A9.B.B24.7B2D4B2A3B$21.A3.2A2.A.A9.3B24.4B2.11B.B2A
$29.A.A9.B2AB22.4B5.8B2.BA.A$30.A11.2A22.4B4.10B5.A$65.4B5.2A5.B.B5.
2A$64.4B7.A4.3B$63.4B5.3A5.B2AB$63.3B6.A8.2A$61.4B$61.2A$62.A$59.3A$
59.A!

The N is just the base loop size.

Right... a little more experimenting and this is definitely getting too weird for me. Take your p988+N? gun and do nothing except replace the semi-snark with a tremi-snark.... it works... and what is the period? p1534 again! Yikes.

Code: Select all

x = 142, y = 79, rule = LifeHistory
40.2A11.A$39.B2AB9.A.A$40.3B9.A.A2.2A3.A$4.2D3.2D3.2D8.D3.D3.2D5.B.B
9.2A.2A2.A2.A.A38.2A$3.D2.D.D2.D.D2.D7.2D2.D2.D2.D4.5B8.B2.A.A3.A.A
17.2A20.A14.2A$3.D2.D.D2.D.D2.D3.D3.2D2.D5.D4.6B6.2ABA2.4A.A19.A6.2A
12.A.AB11.2A$4.3D2.2D3.2D3.3D2.D.D.D3.2D5.8B4.2A.A.A3.A21.A.AB.2B2AB
12.2AB.B.3B$6.D.D2.D.D2.D3.D3.D.D.D3.D7.13B2.A.AB2.A15.2A4.2AB.4B15.
7B3.4A$6.D.D2.D.D2.D7.D2.2D9.13B5.A.A2B.A14.A.A4.8B14.7B2.A3.A$3.3D3.
2D3.2D8.D3.D3.D4.15B5.A2B.2A11.BA.A.3A3.9B12.7B.2BAB$37.15B4.3B12.2A.
B2A5.A2.9B10.10BABAB$36.17B.B.2B12.B2A2B6.2A.11B2.2B2.13B2A2B$36.29B
6.4B6.24BA11B.2A$35.13B2A7B3A6B3.6B8.20B2ABA8B4.A$34.14B2A7BA8B2.6B7.
12B2A9BAB2A5B6.A.A$3.D3.D7.4D.D5.2D5.2AB3.19BA7B.7B6.13B2A11BA6B7.2A$
3.2D2.D7.D4.D2.D.D2.D3.A2.A4.28BA6B5.34B$3.2D2.D2.3D2.D4.D2.D.D5.A.2A
5.6B3.B2.2B2.8BABAB2A6B3.12B.2B.3B.4B8.4B$3.D.D.D8.2D2.4D.3D3.A7.6B
14.5B3A2B2A18B11.2B3.B6.4B$3.D.D.D2.3D5.D4.D.D2.D.2A6.9B14.3BABA2BA
20B10.3B.B2A6.4B13.A$3.D2.2D7.D2.D4.D.D2.D8.4B4.2A15.2A3B2A24B8.A3B2A
7.4B10.3A$3.D3.D8.2D8.2D8.4B5.A15.B2AB3A26B6.A.AB.B9.4B8.A$35.4B7.3A
12.4B2A26B6.A.AB13.4B7.2A$34.4B10.A10.2AB.3B2.21B10.A17.4B5.3B$33.4B
21.A.AB6.20B10.2A18.5B.3B9.2A$32.4B22.A8.20B32.9B8.A.A$31.4B22.2A7.
12B.8B.B31.8B.B8.A$30.4B31.10B5.8B2A.2A28.11B3.B.BA.2A$29.4B36.6B6.7B
.A.A29.4BA7B.B2A.A.A$28.4B38.B.B10.5BA3.A28.2BABA9B2A.A.A$27.4B40.3B
7.5B2.A.2A29.3B2A3B2A5B2.A.2A$26.4B31.B8.B2AB7.2A3.2A2.A28.2AB.5BA2BA
3B4A2.A$25.4B25.2A4.4B7.2A9.A2.A4.A27.A.AB.6B2A2B.BAB2.2A$24.4B25.B2A
B2.4B16.3A3.5A28.A5.7B6.2A$23.4B13.2A12.3B.4B9.4A4.A37.2A5.4B.2B7.A$
22.4B14.2A13.B.4B10.A3.A11.A35.4B9.A$21.4B22.3B.9B14.2A9.3A34.4B10.2A
$11.2A7.4B16.4A3.13B14.B9.A36.4B$10.B2AB5.4B17.A3.A2.14B11.3B9.2A10.
2A22.4B$10.3B5.4B20.BA2B.14B9.6B5.5B10.A22.4B$11.B.B3.4B21.BABA14B7.
10B3.4B9.BA.A21.4B$9.6B.4B22.2B2A13B2.2B3.11B2.6B4.3B.B2A10.A10.4B$2A
7.10B18.2A.2A.28B2A13B.7B12.3A7.4B$.A4.12B7.2A11.A.A4.26B2A21B15.A5.
4B$.A.A13B8.A12.A.A6.46B15.2A4.4B$2.2A12B6.BA.A13.A7.47B14.9B6.2A$4.
12B2.3B.B2A10.A10.50B14.6B7.A$4.19B12.3A7.5B7.4B.13B3.B.19B2.2B2.B3.
6B5.2A.A$4.19B15.A5.4B10.4B4.B.7B7.33B4.A2.A$4.18B15.2A4.4B12.4B19.6B
.27B3.B2A$4.19B14.9B6.2A6.4B16.5B.B2.16B2A14B$2.2A21B14.6B7.A8.4B15.
2A7.16B2A13B$.A.AB2.21B2.2B2.B3.6B5.2A.A9.4B11.A3.A8.29B$.A6.12B4ADA
18B4.A2.A11.4B10.4A16.2B.B.17B$2A7.10BA2BDBCA19B3.B2A13.4B28.3B4.15B$
9.8B.2ABA3DA8B2A14B15.4B8.2A13.2A.2BA5.15B$9.6B3.2BABC2A9B2A13B17.4B
6.B2AB12.A.2BA.A5.13B$9.5B5.29B19.4B5.4B13.A2.BA.A2.13B$9.5B12.4B.17B
20.4B5.2B15.A3.A.A.2A4.8B$9.2B2AB11.5B2.15B22.4B2.4B7.A5.A.4A2.AB2A6.
6B$11.2A8.2A.2BA.2B2.15B23.4B.5B5.A.A3.A.A3.A.A2.B8.5B$21.A.2BA.A.B3.
13B25.14B.A4.A.A2.A2.2A.2A9.B.B$22.A2.BA.A2.13B28.14B6.A3.2A2.A.A9.3B
$23.A3.A.A.2A4.8B27.14B14.A.A9.B2AB$21.A.4A2.AB2A6.6B26.6BD8B15.A11.
2A$20.A.A3.A.A2.B8.5B25.5BDBD4B2A3B$20.A.A2.A2.2A.2A9.B.B24.7B2D4B2A
3B$21.A3.2A2.A.A9.3B24.4B2.11B.B2A$29.A.A9.B2AB22.4B5.8B2.BA.A$30.A
11.2A22.4B4.10B5.A$65.4B5.2A5.B.B5.2A$64.4B7.A4.3B$63.4B5.3A5.B2AB$
63.3B6.A8.2A$61.4B$61.2A$62.A$59.3A$59.A!

[googoIpIex]

uh oh

[dvgrn]

I don't think this about the base loop size because you get the exact same crash no matter what the base size. More this is about the sequence of the gliders I think. Just adding a single block to your pattern to destroy the first glider from the Herschel at top-middle allows the gun to function as p1534...

... a little more experimenting and this is definitely getting too weird for me. Take your p988+N? gun and do nothing except replace the semi-snark with a tremi-snark.... it works... and what is the period? p1534 again!

Well, that almost kind of makes sense to me, I guess. Dropping that block into the base loop basically removes one of the two circulating gliders in it. These things are much less mind-bending when there's only one glider in the loop at a time.

Replacing the semi-Snark with a tremi-Snark accidentally simplifies things in another way: there are still two gliders circulating, but because the tremi-Snark is absorbing two signals instead of one, the reset path is now always receiving a signal from the same base-loop signal. Call that signal Base-Loop Signal #1. The exact position of Base-Loop Signal #2 no longer matters, so it can easily be moved to somewhere where it won't cause any crashes. In fact this happens automatically: wherever it was placed originally, after one cycle it will end up wherever the signal inserter puts it.

In other words, the tremi-Snark works because the reset path adds one more glider per cycle to the reset-path loop. Call that added glider Temporary Base-Loop Signal #3. The two "absorb" phases of the tremi-Snark aren't removing copies of Signal #1 and #2 -- they're removing Signal #3 and one of the others. The gun output always comes from the remaining signal, so the alternation in timing stops happening.

Is there an equivalent effect if we put a tremi-Snark on the output of your tremi-Snarked p1534? Yes: at least, we get a p2228, which is not just 1.5 times p1534.

Code: Select all

x = 142, y = 78, rule = LifeHistory
40.2A11.A$39.B2AB9.A.A$40.3B9.A.A2.2A3.A$39.B.B9.2A.2A2.A2.A.A38.2A$
4.2D3.2D3.2D3.2D18.5B8.B2.A.A3.A.A17.2A20.A14.2A$3.D2.D.D2.D.D2.D.D2.
D17.6B6.2ABA2.4A.A19.A6.2A12.A.AB11.2A$6.D4.D4.D.D2.D17.8B4.2A.A.A3.A
21.A.AB.2B2AB12.2AB.B.3B$6.D4.D4.D2.2D19.13B2.A.AB2.A15.2A4.2AB.4B15.
7B3.4A$5.D4.D4.D2.D2.D16.13B5.A.A2B.A14.A.A4.8B14.7B2.A3.A$4.D4.D4.D
3.D2.D15.15B5.A2B.2A11.BA.A.3A3.9B12.7B.2BAB$3.4D.4D.4D2.2D16.15B4.3B
12.2A.B2A5.A2.9B10.10BABAB$36.17B.B.2B12.B2A2B6.2A.11B2.2B2.BA11B2A2B
$36.29B6.4B6.21B3A12B.2A$35.13B2A16B3.6B8.19B3A10B4.A$34.14B2A16B2.6B
7.12B2A6BA3BA7B6.A.A$3.D3.D7.4D.D5.2D5.2AB3.27B.7B6.13B2A6B4A8B7.2A$
3.2D2.D7.D4.D2.D.D2.D3.A2.A4.35B5.21BAB2A9B$3.2D2.D2.3D2.D4.D2.D.D5.A
.2A5.6B3.B2.2B2.20B3.12B.2B.3B.4B8.4B$3.D.D.D8.2D2.4D.3D3.A7.6B14.30B
11.2B3.B6.4B$3.D.D.D2.3D5.D4.D.D2.D.2A6.9B14.29B10.3B.B2A6.4B13.A$3.D
2.2D7.D2.D4.D.D2.D8.4B4.2A15.31B8.A3B2A7.4B10.3A$3.D3.D8.2D8.2D8.4B5.
A15.33B6.A.AB.B9.4B8.A$35.4B7.3A12.32B6.A.AB13.4B7.2A$34.3AB10.A10.2A
B.3B2.21B10.A17.4B3.5B$33.3BA21.A.AB6.20B10.2A18.5B.3B9.2A$32.3BA22.A
8.20B32.9B8.A.A$31.4B22.2A7.12B.8B.B31.8B.B8.A$30.4B31.10B5.8B2A.2A
28.11B3.B.BA.2A$29.4B31.4B.6B6.7B.A.A29.12B.B2A.A.A$28.4B31.4B3.B.B
10.5BA3.A28.9B2A3B2A.A.A$27.4B31.4B5.3B7.5B2.A.2A29.9B2A4B2.A.2A$26.
4B31.4B5.B2AB7.2A3.2A2.A28.2AB.12B4A2.A$25.4B25.2A4.4B7.2A9.A2.A4.A
27.A.AB.10B.BAB2.2A$24.4B25.B2AB2.4B16.3A3.5A28.A5.7B6.2A$23.4B13.2A
12.3B.4B9.4A4.A37.2A5.4B.2B7.A$22.4B14.2A13.B.4B10.A3.A11.A35.4B9.A$
21.4B22.3B.9B14.2A9.3A34.4B10.2A$11.2A7.4B16.4A3.13B14.B9.A36.4B$10.B
2AB5.4B17.A3.A2.14B11.3B9.2A10.2A22.4B$10.3B5.4B20.BA2B.14B9.6B5.5B
10.A22.4B$11.B.B3.4B21.BABA14B7.10B3.4B9.BA.A21.4B$9.6B.4B22.2B2A13B
2.2B3.11B2.6B4.3B.B2A10.A10.4B$2A7.10B18.2A.2A.28B2A13B.7B12.3A7.4B$.
A4.12B7.2A11.A.A4.26B2A21B15.A5.4B$.A.A13B8.A12.A.A6.46B15.2A4.4B$2.
2A12B6.BA.A13.A7.47B14.9B6.2A$4.12B2.3B.B2A10.A10.50B14.6B7.A$4.19B
12.3A7.5B7.4B.13B3.B.19B2.2B2.B3.6B5.2A.A$4.19B15.A5.4B10.4B4.B.7B7.
33B4.A2.A$4.18B15.2A4.4B12.4B19.6B.27B3.B2A$4.19B14.9B6.2A6.4B16.5B.B
2.16B2A14B$2.2A21B14.6B7.A8.4B15.2A7.16B2A13B$.A.AB2.21B2.2B2.B3.6B5.
2A.A9.4B15.A8.29B$.A6.15BAC19B4.A2.A11.4B11.3A16.2B.B.17B$2A7.12BACBC
A19B3.B2A13.4B10.A17.3B4.15B$9.8B.3BACDCA8B2A14B15.4B23.2A.2BA5.15B$
9.6B3.3BACA10B2A13B17.4B22.A.2BA.A5.13B$9.5B5.29B19.4B22.A2.BA.A2.13B
$9.5B12.4B.17B20.4B22.A3.A.A.2A4.8B$9.2B2AB11.5B2.15B22.4B19.A.4A2.AB
2A6.6B$11.2A8.2A.2BA.2B2.15B23.4B13.A3.A.A3.A.A2.B8.5B$21.A.2BA.A.B3.
13B25.4B10.3A3.A.A2.A2.2A.2A9.B.B$22.A2.BA.A2.13B28.4B8.A7.A3.2A2.A.A
9.3B$23.A3.A.A.2A4.8B28.4B7.2A14.A.A9.B2AB$21.A.4A2.AB2A6.6B29.4B3.5B
15.A11.2A$20.A.A3.A.A2.B8.5B30.5B.3B9.2A$20.A.A2.A2.2A.2A9.B.B31.9B8.
A.A$21.A3.2A2.A.A9.3B33.8B.B8.A$29.A.A9.B2AB33.9BAB3.B.BA.2A$30.A11.
2A34.9B3A.B2A.A.A$78.10B2A2B2A.A.A$78.9BA5B2.A.2A$76.2AB.8BA3B4A2.A$
75.A.AB.8BAB.BAB2.2A$75.A5.7B6.2A$74.2A5.A3B.2B7.A$80.A3B9.A$79.B3A
10.2A!

It's a pseudo-period gun, but the output seems to be reliable. Will have to try to think about this some more when my limited brain cells have recovered a bit.