For the following construction,
this composite 5× pulse divider is 6 columns smaller than a primitive periodic quinti-Snark design. So the top one is
gun_9847 (43×229) at 13983 cells:
Code: Select all
x = 183, y = 175, rule = LifeHistory
74.2A30.2A$74.A31.A.A$62.A12.A32.A4.2A$62.3A7.4A28.4A.2A2.A2.A$65.A6.
A31.A2.A.A.A.A.2A$7.A56.2A8.B3A28.BABABA.A$7.3A54.5B5.BA2.A28.B2ABA.A
$2A8.A55.9B2.2A29.2B.BA$.A7.2A45.2A2.AB3.10B32.3B$.A.AB4.5B25.2A15.A
2.A.AB.12B22.2A6.2BAB$2.2AB6.BA4B21.A.A16.A.2A16B22.A6.B3A2B$4.3B2.2B
A2BA2B3.2A10.2A4.A19.A3.16B21.A.AB3.5AB14.A$4.11BA2B3A.A7.A2.A2.2A.4A
16.2A8B2A3B.4B21.2AB.BA5BA2B10.3A$5.B2A4BA3B6A8.2A.A.A.A.A2.A17.A.7BA
BAB3.4B22.2B2A2BA2B2A2B8.A$6.BA4BA4B2A.B12.A.ABABAB17.A4.7BAB5.4B21.B
3ABABAB3A2B7.2A$2A2.B2.A2BA5BAB15.A.AB2AB18.2A3.B2A4B8.4B20.2B2A2BA2B
2A4B3.5B$A2.2A4B2A5B18.AB.2B23.2B2A3B10.4B21.BA6B2.4B2.3B20.2A$.2ABA
5BABABAB21.3B21.4B.5B9.4B20.2BA3B5.9B7.2A10.A.A$4.7BABA2B21.4B6.2A11.
4B5.2A10.4B18.9B4.8B8.A12.A4.2A$.3A.12B4.A13.3B2AB6.A11.4B6.A12.4B16.
4B4.2A5.10B3.B.A.2A5.4A.2A2.A2.A$.A2.A2.4B3A3B3.A.A12.3B2AB3.BA.A10.
4B8.3A10.4B14.4B5.A6.4B2A2BA2B.B3A2.A5.A2.A.A.A.A.2A$2.A.A3.3B3A4B2.A
2.A9.10B.B2A10.4B11.A11.4B12.4B7.3A3.3B3A2BA3BAB2.2A8.BABABA.A$3.A4.
12B.3A8.13B11.4B25.4B10.4B10.A3.2B2A8B4A11.B2ABA.A$9.2BABA7B10.14B10.
4B27.4B8.4B11.A.2AB.2BA4B3.2B.A12.2B.BA$9.BABABA5BAB2A6.15B9.4B29.4B
6.4B10.2A.A.AB.7B2.B3A12.3B$9.5B2A4B2A2.A4.4B2.8B10.4B31.4B4.4B11.A2.
A5.4B4.A6.2A6.4B$7.BA5BA2BA2.B2.2A3.4B5.6B9.4B33.4B2.4B14.2A5.4B5.5A
2.A6.B2A3B$4.B.2A4BA4BAB8.4B4.9B7.4B35.8B21.4B10.2A.A.AB3.B2A3B8.A$3.
6A3BA4B2AB6.4B5.2A4.4B5.4B37.6B21.4B7.2A4.A.2AB.10B6.3A$2.A.3A2BA11B
4.4B7.A5.4B3.4B39.4B21.4B8.2A4.A3.13B8.A$3.2A3.2BA2BA2B2.4B2.4B5.3A7.
4B.4B39.6B19.4B14.2A3.14B6.A.A$8.4BAB5.8B6.A10.7B39.8B17.4B20.15B5.A.
AB$11.5B4.5B20.5B39.4B2.4B15.4B23.8B2.4B5.A3B$14.2A5.4B20.5B38.4B4.4B
13.4B24.6B5.4B6.4B$14.A7.4B18.7B36.4B6.4B11.4B24.9B4.4B5.6B$15.3A5.4B
16.4B.4B34.4B8.4B9.4B24.4B4.2A5.4B4.7B$17.A6.4B14.4B3.4B32.4B10.4B7.
4B24.4B5.A7.4B2.8B.4B.B$25.4B12.4B5.4B30.4B12.4B5.4B24.4B7.3A5.17B.B
2A$26.4B10.4B7.4B28.4B14.4B3.4B24.4B10.A6.18B2A$27.4B8.4B9.4B26.4B16.
4B.4B24.4B18.16B.2B$28.4B6.4B11.4B24.4B18.7B24.4B19.16B$29.5B3.4B13.
4B22.4B20.5B24.4B20.15B$30.5B.4B15.4B20.4B21.5B23.4B19.2AB.12B$31.8B
17.4B18.4B21.7B21.4B19.A.AB2.11B$30.8B19.4B16.4B21.4B.4B19.4B20.A5.
10B$29.8B21.4B14.4B21.4B3.4B10.A6.4B20.2A5.2B2A6B$29.4B2A3B21.4B12.4B
21.4B5.4B7.3A5.4B27.3B2A6B$29.4B2A4B21.2B2A10.4B21.4B7.4B5.A7.4B4.A
24.10B$22.2A5.2A4B.4B21.BABA8.4B21.4B9.4B4.2A5.4B3.3A7.2B15.8B.B2A.A$
18.2A.A.A4.2B2A2B3.4B21.A3B6.4B21.4B11.9B4.4B3.A8.6B3.A8.7B3.B2AB3A$
9.A7.A.A.A5.6B5.4B21.4B4.4B21.4B13.6B5.4B3.A.A6.7B3.3A6.6B6.B4.A$8.A.
A5.A2.A.BA4.4B8.4B21.4B2.4B21.4B14.8B2.4B3.BA.A5.9B5.A6.6B4.2A.3A$8.B
A2B5.2A.B2AB.B2A2B10.4B21.8B21.4B13.15B3.3BA5.9B5.2A6.5B4.A2.2A$9.2B
8.4B2.ABAB12.4B21.6B21.4B14.14B2.4B6.10B5.5B2.8B.A.A$9.3B7.4B.3BA14.
4B21.4B21.4B15.13B.6B5.12B6.3B2.8BA.A.3A$9.4B5.9B5.2A9.4B19.6B19.4B
14.2AB.10B.7B4.4B.9B4.5B.6B.2BAB.A2.A$7.2B2A2B3.5B2A4B5.A11.4B10.A6.
8B6.A10.4B14.A.AB3.8B.8B2.4B4.3B2A4B2.12B2.2B2.A.A.A$7.2B2A7B3A2BA4B.
BA.A12.4B7.3A5.4B2.4B5.3A7.4B15.A5.23B5.2BA2BA17B3.B.2A2.A.A$7.9BA5B
2A4B.B2A14.4B5.A7.4B4.2B2A7.A5.4B15.2A6.21B7.2B2A7B2A9B2.A.A2.A.A.A$
6.8B3ABA3B2A6B17.4B4.2A5.4B6.2A2B5.2A4.4B24.21B8.10B2A9B2.2A2.2A.2A$
6.24B18.9B4.4B8.BA2B4.9B26.20B6.16B2A5B$6.6B2A3BAB3A8B19.6B5.4B10.4B
5.6B28.2B.16B6.2A5.8BABA5B$4.2AB.4B2A5BA9B20.8B2.4B12.4B2.8B27.2B3.
13B.B2A5.A7.6B3A4B10.A$3.A.AB.4BA2B3A7B2A2B18.15B14.15B24.B2AB3.11B2.
BA.A.3A9.11B9.3A$3.A5.4B2A5B3.2B2A2B18.14B16.14B25.2A5.10B5.A.A11.6BA
3B9.A$2.2A5.9B5.4B20.13B18.13B32.6B2A2B5.2A11.4BA3BA5B6.2A$8.A3B.4B7.
3B18.2AB.10B20.10B.B2A30.6B2A3B15.6BA4BA12B$8.2BA2.4B8.2B17.A.AB3.B2A
3B24.3B2AB3.BA.A29.10B15.7BA15B$6.A2BA2.B2AB.2A5.2BAB16.A6.B2A3B24.3B
2AB6.A25.A.2AB.8B15.12BA11B$6.AB5.AB.A2.A5.A.A15.2A6.4B28.4B6.2A22.3A
B2AB3.7B13.11BA2BA10B$7.A6.A.A.A7.A25.3B28.3B30.A4.B6.6B13.12B2A12B$
4.3A5.A.A.2A35.2B.BA22.AB.2B32.3A.2A5.5B15.21B.4B$4.A7.2A38.B2ABA.A
20.A.AB2AB33.A.A6.5B13.3B.6B2.B7.2B3.4B$51.BABABA.A20.A.ABABAB32.A.A
7.3B14.2A4.4B.3B5.BA2B3.4B$49.A2.A.A.A.A.2A14.2A.A.A.A.A2.A31.A6.7B
13.A5.2B2.B2AB4.A.A5.3BA$49.4A.2A2.A2.A14.A2.A2.2A.4A38.2A.B.2A10.3A
11.2A6.A7.ABA$53.A4.2A18.2A4.A43.A3.A11.A30.2A$51.A.A30.A.A38.3A5.3A
40.B$51.2A32.2A38.A9.A18$74.2A30.2A32.A34.A$74.A31.A.A31.3A30.3A$62.A
12.A32.A4.2A18.2A8.A28.A8.2A$62.3A7.4A28.4A.2A2.A2.A17.A7.2A28.2A7.A$
65.A6.A31.A2.A.A.A.A.2A17.A.AB4.5B22.5B4.BA.A$7.A56.2A8.B3A28.BABABA.
A21.2AB6.6B16.6B6.B2A$7.3A54.5B5.BA2.A28.B2ABA.A23.3B2.3B2A3B3.BA6.AB
3.8B2.3B$2A8.A55.9B2.2A29.2B.BA24.7B2ABA5BA.A4.A.A3BABA10B$.A7.2A45.
2A2.AB3.10B32.3B28.5BA3BA6BA6.A8BA7B$.A.AB4.5B25.2A15.A2.A.AB.12B22.
2A6.4B29.4BAB2A5B.B8.B.2BA3B2A5B$2.2AB6.6B21.A.A16.A.2A16B22.A6.B2A3B
21.2A2.B2.4B2A5B14.5BA5B2.B2.2A$4.3B2.8B3.BA10.2A4.A19.A3.16B21.A.AB
3.B2A3B14.A6.A2.2A11B18.A10B2A2.A$4.7B4A5BA.A7.A2.A2.2A.4A16.2A8B2A3B
.4B21.2AB.10B10.3A7.2ABA11B18.A4BA5BAB2A$5.5BABABA6BA8.2A.A.A.A.A2.A
17.A.7BABAB3.4B22.7B2A4B8.A13.12B18.6BA5B$6.4BAB2A5B.B12.A.ABABAB17.A
4.7BAB5.4B21.6B3A5B7.2A9.3A.12B4.A6.A4.3BA8B.3A$2A2.B2.4BA6B15.A.AB2A
B18.2A3.B2A4B8.4B20.7BA7B3.5B8.A3.A2.10B3.A.A4.A.A3.8BAB2.A2.A$A2.2A
11B18.AB.2B23.2B2A3B10.4B21.8B2.4B2.3B10.A.A.A3.10B2.A2.A2.A2.A2.BA8B
3.A.A$.2ABA11B21.3B21.4B.5B9.4B20.6B5.9B7.2A.A.A4.12B.3A2.3A.8BA3B4.A
$4.12B21.3AB6.2A11.4B5.2A10.4B18.9B4.8B8.A.A7.12B3.2A3.5BA6B$.3A.12B
4.A13.BA3BA6.A11.4B6.A12.4B16.4B4.2A5.10B3.B.A.2A6.11BAB2A2.2ABA5BA4B
A$.A2.A2.10B3.A.A12.BA3BA3.BA.A10.4B8.3A10.4B14.4B5.A6.7B2A2B.B3A2.A
6.11B2A2.2A2.2A10BA$2.A.A3.10B2.A2.A9.B2A5B2A.B2A10.4B11.A11.4B12.4B
7.3A3.7B2A3BAB2.2A5.5B2A4B2.B2.A2.A2.B2.5BA5B$3.A4.12B.3A8.BA4BA4BAB
11.4B25.4B10.4B10.A3.12B4A4.B.5B2ABA4B5.2A5.5B2A3BA2B.B$9.12B10.2BA3B
ABA3BAB10.4B27.4B8.A3B11.A.2AB.7B3.2B.A3.A6BA3BA5B10.7BA8BA$9.11BAB2A
6.3BAB2ABA4BAB9.4B29.4B6.B2AB10.2A.A.AB.7B2.B3A3.A.A5BAB2A7B8.10BABA
3BA.A$9.11B2A2.A4.4B2.5B3A10.4B31.4B4.BABA11.A2.A5.4B4.A7.AB3.3B2A3B
2.4B6.4B2.8B3.BA$7.6BA4B2.B2.2A3.4B5.6B9.4B33.4B2.4B14.2A5.4B5.5A7.6B
5.4B4.A3B5.6B$4.B.5B2ABA4B8.4B4.9B7.4B35.8B21.4B10.A10.5B4.4B2.BABA4.
5B$3.A6BABABA5B6.4B5.2A4.4B5.4B37.6B21.4B9.A15.2A5.6B2A5.2A$2.A.A5B4A
7B4.4B7.A5.4B3.4B39.4B21.4B10.2A14.A7.BABAB8.A$3.AB3.8B2.4B2.4B5.3A7.
4B.4B39.6B19.4B28.3A5.B2A6.3A$8.6B5.8B6.A10.7B39.8B17.4B31.A6.AB6.A$
11.5B4.5B20.5B39.4B2.4B15.4B39.2B$14.2A5.3BA20.5B38.4B4.4B13.4B40.B$
14.A7.3BA18.7B36.4B6.4B11.4B40.B2A$15.3A5.3AB16.4B.4B34.4B8.4B9.4B33.
2A5.BA2BA6.2A$17.A6.4B14.4B3.4B32.4B10.4B7.4B35.A4.3B2A3B4.A$25.4B12.
4B5.4B30.4B12.4B5.4B36.A.AB.8B.BA.A$26.4B10.4B7.4B28.4B14.4B3.4B38.2A
B.8B.B2A$27.4B8.4B9.4B26.4B16.4B.4B41.12B$28.4B6.4B11.4B24.4B18.7B42.
12B$29.5B3.4B13.4B22.4B20.5B43.12B$30.5B.4B15.4B20.4B21.5B43.10B$31.
8B17.4B18.4B21.7B43.7B$30.8B19.4B16.4B21.4B.4B41.8B$29.8B21.4B14.4B
21.4B3.4B39.4B.5B$29.9B21.4B12.4B21.4B5.4B37.4B.6B$29.10B21.4B10.4B
21.4B7.4B35.4B3.6B$22.2A5.6B.4B21.4B8.4B21.4B9.4B33.4B4.3BA3B2.B$18.
2A.A.A4.6B3.4B21.4B6.4B21.4B11.4B31.4B5.2BABA7B$9.A7.A.A.A5.6B5.4B21.
4B4.4B21.4B13.4B29.4B6.2BABA7B$8.A.A5.A2.A.BA4.4B8.4B21.4B2.4B21.4B
15.4B27.4B7.3BA9B$8.BA2B5.2A.B2AB.5B10.4B21.8B21.4B17.4B25.4B6.2AB.
11B$9.2B8.4B2.4B12.4B21.6B21.4B19.4B23.4B6.A.AB2.9B$9.BAB7.4B.BA2B14.
4B21.4B21.4B21.4B21.4B7.A7.7B$9.3AB5.6B2AB5.2A9.4B19.6B19.4B23.4B19.
4B7.2A7.6B$7.BABABA3.7BA2BA5.A11.4B10.A6.8B6.A10.4B25.4B10.A6.4B18.4B
$7.3A2BA10BA4B.BA.A12.4B7.3A5.4B2.4B5.3A7.4B27.4B7.3A5.4B18.4B$7.2BA
3B2A6B2A2B2AB.B2A14.4B5.A7.4B4.4B7.A5.4B29.4B5.A7.4B18.4B$6.3B2A4BA4B
A4B2A3B17.4B4.2A5.4B6.4B5.2A4.4B31.4B4.2A5.4B18.4B$6.3BABA2B3A2B3A2BA
BA3B18.9B4.4B8.4B4.6BA2B33.9B4.4B18.4B$6.3B2A4BA4BA4B2A3B19.6B5.4B10.
2B2A5.2B2A2B35.6B5.4B18.4B$4.2AB.B2A2B2A6B2A3BA2B20.8B2.4B12.BABA2.5B
2AB35.8B2.4B18.4B$3.A.AB.4BA10BA2B3A18.15B14.A14B31.15B18.4B$3.A5.A2B
A7B3.ABABAB18.14B16.14B31.14B18.4B$2.2A5.B2A6B5.B3A20.13B18.13B31.13B
18.4B$8.2BAB.4B7.BAB18.2AB.10B20.10B.B2A27.2AB.10B18.4B$8.3B2.4B8.2B
17.A.AB3.B2A3B24.3B2AB3.BA.A25.A.AB3.B2A3B19.4B$6.4B2.B2AB.2A5.2BAB
16.A6.B2A3B24.3B2AB6.A25.A6.B2A3B18.4B$6.2A5.AB.A2.A5.A.A15.2A6.4B28.
4B6.2A23.2A6.4B19.4B$7.A6.A.A.A7.A25.3B28.3B41.3B18.4B$4.3A5.A.A.2A
35.2B.BA22.AB.2B43.2B.BA14.4B$4.A7.2A38.B2ABA.A20.A.AB2AB41.B2ABA.A
12.4B$51.BABABA.A20.A.ABABAB39.BABABA.A11.4B$49.A2.A.A.A.A.2A14.2A.A.
A.A.A2.A35.A2.A.A.A.A.2A7.4B$49.4A.2A2.A2.A14.A2.A2.2A.4A35.4A.2A2.A
2.A6.4B$53.A4.2A18.2A4.A43.A4.2A7.A3B$51.A.A30.A.A39.A.A12.A3B$51.2A
32.2A39.2A12.B3A!
The same W-shaped framework on the left also gives two other high periods at 10744 cells:.
gun_6579 (43×153)
Code: Select all
x = 136, y = 79, rule = LifeHistory
61.A2.2A40.2A$61.4A.A39.A.A$66.A41.A4.2A$59.7A.2A35.4A.2A2.A2.A$58.A
2.B3.A.A2.A33.A2.A.A.A.A.2A$7.A50.2A2.2A.AB2.2A35.BABABA.A$7.3A51.B2A
B2A40.B2ABA.A$2A8.A51.5B41.2B.BA$.A7.2A52.3B41.3B$.A.AB4.5B25.2A21.5B
31.2A6.4B$2.2AB6.6B21.A.A20.4BAB32.A6.B2A3B$4.3B2.2B3A3B3.BA10.2A4.A
14.2A6.3BABA2B30.A.AB3.B2A3B14.A$4.7B2ABA5BA.A7.A2.A2.2A.4A11.A5.4BAB
A2B31.2AB.10B10.3A$5.5BA3BA6BA8.2A.A.A.A.A2.A11.A.AB3.4BA2B34.13B8.A$
6.4BAB2A5B.B12.A.ABABAB14.2AB.10B33.14B7.2A$2A2.B2.4B3A4B15.A.AB2AB
17.13B32.15B3.5B$A2.2A11B18.AB.2A18.14B33.8B2.4B2.3B$.2ABA11B21.3A17.
15B32.6B5.9B7.2A$4.12B21.4B6.2A10.8B2.4B30.9B4.8B8.A$.3A.12B4.A13.BAB
ABA6.A11.6B5.4B28.4B4.2A5.10B3.B.A.2A$.A2.A2.10B3.A.A12.B2AB2A3.2A.A
10.9B4.4B26.4B5.A6.7B2A2B.B3A2.A$2.A.A3.10B2.A2.A9.B2A5B2A.2BA10.4B4.
2A5.4B24.4B7.3A3.7B2A3BAB2.2A$3.A4.12B.3A8.2AB4A2BA3B11.4B5.A7.4B22.
4B10.A3.12B4A$9.12B10.B5A4BA3B10.4B7.3A5.4B20.4B11.A.2AB.7B3.2B.A$9.
11BAB2A6.3BAB2A2BA4BA9.4B10.A6.4B18.4B10.2A.A.AB.7B2.B3A$9.11B2A2.A4.
4B2.2B3A3B10.4B19.4B16.4B11.A2.A5.4B4.A$7.4B3A4B2.B2.2A3.4B5.4B2A9.4B
21.4B14.4B14.2A5.4B5.5A$4.B.5B2ABA4B8.4B4.9B7.4B23.4B12.4B21.4B10.A$
3.A6BA3BA5B6.4B5.2A4.4B5.4B25.4B10.4B21.4B9.A$2.A.A5BAB2A7B4.4B7.A5.
4B3.4B27.4B8.4B21.4B10.2A$3.AB3.3B3A2B2.4B2.4B5.3A7.4B.4B29.4B6.4B21.
4B$8.6B5.8B6.A10.7B31.4B4.4B21.4B$11.5B4.5B20.5B33.4B2.4B21.4B$14.2A
5.4B20.5B34.8B21.4B$14.A7.4B18.7B34.2B3AB21.4B$15.3A5.4B16.4B.4B34.3B
A21.4B$17.A6.4B14.4B3.4B32.3BA2B19.4B$25.4B12.4B5.4B30.8B17.4B$26.4B
10.4B7.4B28.4B2.4B15.4B$27.4B8.4B9.2B2A26.4B4.4B13.4B$28.4B6.4B11.BAB
A24.4B6.4B11.4B25.B$29.5B3.4B13.A3B22.4B8.4B9.4B25.2A$30.4BA.4B15.4B
20.4B10.4B7.4B25.ABA$31.2B2A4B17.4B18.4B12.4B5.4B25.3BA$30.3BABA2B19.
4B16.4B14.4B3.4B25.4B$29.5BA2B21.4B14.4B16.4B.4B25.4B$29.2B2AB2A2B21.
4B12.4B18.7B25.4B$29.2BA3BA3B21.4B10.4B20.5B25.4B$22.2A5.4B2A.4B21.4B
8.4B21.5B24.4B$18.2A.A.A4.6B3.4B21.4B6.4B21.7B22.4B$9.A7.A.A.A5.6B5.
4B21.2B2A4.4B21.A3B.4B20.4B$8.A.A5.A2.A.BA4.4B8.4B21.2A2B2.4B21.BABA
3.4B18.4B$8.BA2B5.2A.B2AB.5B10.4B21.BA6B21.2B2A5.4B16.4B$9.AB8.4B2.4B
12.4B21.6B21.4B7.4B14.4B$9.BAB7.4B.ABAB14.4B21.4B21.4B9.4B12.4B$9.B2A
B5.5BA2BA5.2A9.3BA19.6B19.4B11.4B10.4B$7.5BA3.7BA3B5.A11.3BA10.A6.8B
6.A10.4B13.4B8.4B$7.4B2A15B.BA.A12.3AB7.3A5.4B2.4B5.3A7.4B15.4B6.4B$
7.B4AB2A6B2A4BA.B2A14.4B5.A7.4B4.4B7.A5.4B17.4B4.4B$6.2B2A2B2A8BABA2B
A2B17.4B4.2A5.4B6.4B5.2A4.4B19.4B2.4B$6.B2ABA2B2AB4AB2A2BAB2AB18.5B3A
B4.4B8.4B4.9B21.8B5.2A$6.2BA2BABA8B2A2B2A2B19.3B3A5.4B10.4B5.2BABAB
23.7B5.A$4.2AB.A4B2A6B2AB4AB20.2B5AB2.4B12.4B2.4B2A2B24.7B.BA.A$3.A.A
B.15B2A4B18.3B2A3B2A5B14.10BA4B20.9B.B2A$3.A5.3BA7B3.A5B18.2B3A3B3A3B
16.14B17.2B.11B$2.2A5.A2BA5B5.B2AB20.3B2A3B2A3B18.13B16.2A13B$8.BABA.
4B7.BAB18.2AB.2B5A3B20.10B.B2A14.2A13B$8.3B2.4B8.BA17.A.AB3.B3A2B24.
3B2AB3.BA.A14.2B2.10B$6.4B2.B2AB.2A5.2BAB16.A6.2BA3B24.3B2AB6.A19.9B.
2B$6.2A5.AB.A2.A5.A.A15.2A6.4B28.4B6.2A18.11B2A$7.A6.A.A.A7.A25.3B28.
3B27.4B2A3B.B2A$4.3A5.A.A.2A35.2B.BA22.AB.2B28.4B2A4B.B$4.A7.2A38.B2A
BA.A20.A.AB2AB27.7B$51.BABABA.A20.A.ABABAB25.A.5B$49.A2.A.A.A.A.2A14.
2A.A.A.A.A2.A22.A.A3.4B$49.4A.2A2.A2.A14.A2.A2.2A.4A23.A6.2A$53.A4.2A
18.2A4.A34.A$51.A.A30.A.A33.3A$51.2A32.2A35.A!
gun_8213 (43×191)
Code: Select all
x = 136, y = 79, rule = LifeHistory
61.A2.2A40.2A$61.4A.A39.A.A$66.A41.A4.2A$59.7A.2A35.4A.2A2.A2.A$58.A
2.B3.A.A2.A33.A2.A.A.A.A.2A$7.A50.2A2.2A.AB2.2A35.BABABA.A$7.3A43.2A
6.B2AB2A40.B2ABA.A$2A8.A42.A8.5B41.2B.BA$.A7.2A44.A7.3B41.3B$.A.AB4.
5B25.2A10.5A6.5B31.2A6.4B$2.2AB6.6B21.A.A10.A9.4BAB32.A6.B2A3B$4.3B2.
2B3A3B3.BA10.2A4.A14.B4A3.3BABA2B30.A.AB3.6B14.A$4.7B2ABA5BA.A7.A2.A
2.2A.4A10.BA2.A2.4BABA2B31.2AB.10B10.3A$5.5BA3BA6BA8.2A.A.A.A.A2.A10.
4B4.4BA2B34.5B2A6B8.A$6.4BAB2A5B.B12.A.ABABAB8.2A3.15B33.5B2ABA5B7.2A
$2A2.B2.4B3A4B15.A.AB2AB9.A2.A.2A14B32.6B2A7B3.5B$A2.2A11B18.AB.2B12.
2A.2A3BA11B33.5BA2B2.4B2.3B$.2ABA11B21.3B15.B.BABA11B32.6B5.9B7.2A$4.
12B21.4B6.2A9.BA7B2.4B30.9B4.8B8.A$.3A.12B4.A13.3B2AB6.A10.7B5.4B28.
4B4.2A5.10B3.B.A.2A$.A2.A2.10B3.A.A12.3B2AB3.BA.A10.9B4.4B26.4B5.A6.
7B2A2B.B3A2.A$2.A.A3.10B2.A2.A9.10B.B2A10.4B4.2A5.4B24.4B7.3A3.7B2A3B
AB2.2A$3.A4.12B.3A8.13B11.4B5.A7.4B22.4B10.A3.12B4A$9.12B10.14B10.4B
7.3A5.4B20.4B11.A.2AB.7B3.2B.A$9.11BAB2A6.15B9.4B10.A6.4B18.4B10.2A.A
.AB.7B2.B3A$9.11B2A2.A4.4B2.8B10.4B19.4B16.4B11.A2.A5.4B4.A$7.4B3A4B
2.B2.2A3.4B5.6B9.4B21.4B14.4B14.2A5.4B5.5A$4.B.5B2ABA4B8.4B4.9B7.4B
23.4B12.4B21.4B10.A$3.A6BA3BA5B6.4B5.2A4.4B5.4B25.4B10.4B21.4B9.A$2.A
.A5BAB2A7B4.4B7.A5.4B3.4B27.4B8.4B21.4B10.2A$3.AB3.3B3A2B2.4B2.4B5.3A
7.4B.4B29.4B6.4B21.4B$8.6B5.8B6.A10.7B31.4B4.4B21.4B$11.5B4.5B20.5B
33.4B2.4B21.4B$14.2A5.4B20.5B34.8B21.4B$14.A7.4B18.7B34.6B21.4B$15.3A
5.4B16.4B.4B34.4B21.4B$17.A6.4B14.4B3.4B32.6B19.4B$25.4B12.4B5.4B30.
8B17.4B$26.4B10.4B7.4B28.4B2.4B15.4B$27.4B8.4B9.2B2A26.4B4.4B13.4B$
28.4B6.4B11.BABA24.4B6.4B11.4B25.B$29.5B3.4B13.A3B22.4B8.4B9.4B25.2A$
30.4BA.4B15.4B20.4B10.4B7.4B25.ABA$31.2B2A4B17.4B18.4B12.4B5.4B25.3BA
$30.3BABA2B19.4B16.A3B14.4B3.4B25.4B$29.5BA2B21.4B14.B2AB16.4B.4B25.
4B$29.2B2AB2A2B21.4B12.BABA18.7B25.4B$29.2BA3BA3B21.4B10.4B20.5B25.4B
$22.2A5.4B2A.4B21.4B8.4B21.5B24.4B$18.2A.A.A4.6B3.4B21.4B6.4B21.7B22.
4B$9.A7.A.A.A5.6B5.4B21.2B2A4.4B21.4B.4B20.4B$8.A.A5.A2.A.BA4.4B8.4B
21.2A2B2.4B21.4B3.4B18.4B$8.BA2B5.2A.B2AB.5B10.4B21.BA6B21.4B5.4B16.
4B$9.AB8.4B2.4B12.4B21.6B21.4B7.4B14.4B$9.BAB7.4B.ABAB14.4B21.4B21.4B
9.4B12.4B$9.B2AB5.5BA2BA5.2A9.4B19.6B19.4B11.4B10.4B$7.5BA3.7BA3B5.A
11.4B10.A6.8B6.A10.4B13.4B8.4B$7.4B2A15B.BA.A12.4B7.3A5.4B2.4B5.3A7.
4B15.4B6.4B$7.B4AB2A6B2A4BA.B2A14.4B5.A7.4B4.4B7.A5.4B17.4B4.4B$6.2B
2A2B2A8BABA2BA2B17.4B4.2A5.4B6.4B5.2A4.4B19.4B2.4B$6.B2ABA2B2AB4AB2A
2BAB2AB18.5B3AB4.4B8.4B4.9B21.8B5.2A$6.2BA2BABA8B2A2B2A2B19.3B3A5.4B
10.4B5.2BABAB23.7B5.A$4.2AB.A4B2A6B2AB4AB20.2B5AB2.4B12.4B2.4B2A2B24.
7B.BA.A$3.A.AB.15B2A4B18.3B2A3B2A5B14.10BA4B20.9B.B2A$3.A5.3BA7B3.A5B
18.2B3A3B3A3B16.14B17.2B.11B$2.2A5.A2BA5B5.B2AB20.3B2A3B2A3B18.13B16.
2A13B$8.BABA.4B7.BAB18.2AB.2B5A3B20.10B.B2A14.2A13B$8.3B2.4B8.BA17.A.
AB3.B3A2B24.3B2AB3.BA.A14.2B2.10B$6.4B2.B2AB.2A5.2BAB16.A6.2BA3B24.3B
2AB6.A19.9B.2B$6.2A5.AB.A2.A5.A.A15.2A6.4B28.4B6.2A18.11B2A$7.A6.A.A.
A7.A25.3B28.3B27.4B2A3B.B2A$4.3A5.A.A.2A35.2B.BA22.AB.2B28.4B2A4B.B$
4.A7.2A38.B2ABA.A20.A.AB2AB27.7B$51.BABABA.A20.A.ABABAB25.A.5B$49.A2.
A.A.A.A.2A14.2A.A.A.A.A2.A22.A.A3.4B$49.4A.2A2.A2.A14.A2.A2.2A.4A23.A
6.2A$53.A4.2A18.2A4.A34.A$51.A.A30.A.A33.3A$51.2A32.2A35.A!
---
Answering some questions:
dvgrn wrote: ↑September 17th, 2022, 8:20 am
GUYTU6J wrote: ↑September 17th, 2022, 12:15 am
Here is a p9847 (43×229) pseudo-random number generator that releases 10 gliders per period.
...
A gun_9847 may be completed by taking a period-229 glider gun and applying an AND gate:
...
Please suggest a stable 5× pulse divider (not periodic period multiplier) to reduce its bounding box.
The "not periodic" limitation is just to produce a true-period p9847 gun, right?...
No. Using p5 quinti-Snark will give a p(9847×5) gun with chaotic outputs (try it out!). Say the smaller p9847 gun above is chopped to this, in which a glider arrives at the marked location at generation 400.
Code: Select all
x = 136, y = 79, rule = LifeHistory
106.2A$78.A27.A.A$76.3A29.A4.2A$75.A28.4A.2A2.A2.A$75.2A27.A2.A.A.A.A
.2A$7.A98.BABABA.A$7.3A62.2D33.B2ABA.A$2A8.A62.2D33.2B.BA$.A7.2A61.D
34.3B$.A.AB4.5B25.2A57.2A6.2BAB$2.2AB6.BA4B21.A.A58.A6.B3A2B$4.3B2.2B
A2BA2B3.2A10.2A4.A60.A.AB3.5AB14.A$4.11BA2B3A.A7.A2.A2.2A.4A57.2AB.BA
5BA2B10.3A$5.B2A4BA3B6A8.2A.A.A.A.A2.A59.2B2A2BA2B2A2B8.A$6.BA4BA4B2A
.B12.A.ABABAB61.B3ABABAB3A2B7.2A$2A2.B2.A2BA5BAB15.A.AB2AB62.2B2A2BA
2B2A4B3.5B$A2.2A4B2A5B18.AB.2B43.B21.BA6B2.4B2.3B$.2ABA5BABABAB21.3B
42.2B20.2BA3B5.9B7.2A$4.7BABA2B21.4B6.2A33.3B18.9B4.8B8.A$.3A.12B4.A
13.3B2AB6.A34.4B16.4B4.2A5.10B3.B.A.2A$.A2.A2.4B3A3B3.A.A12.3B2AB3.BA
.A35.4B14.4B5.A6.4B2A2BA2B.B3A2.A$2.A.A3.3B3A4B2.A2.A9.10B.B2A37.4B
12.4B7.3A3.3B3A2BA3BAB2.2A$3.A4.12B.3A8.13B11.4B25.4B10.4B10.A3.2B2A
8B4A$9.2BABA7B10.14B10.4B27.4B8.4B11.A.2AB.2BA4B3.2B.A$9.BABABA5BAB2A
6.15B9.4B29.4B6.4B10.2A.A.AB.7B2.B3A$9.5B2A4B2A2.A4.4B2.8B10.4B31.4B
4.4B11.A2.A5.4B4.A$7.BA5BA2BA2.B2.2A3.4B5.6B9.4B33.4B2.4B14.2A5.4B5.
5A$4.B.2A4BA4BAB8.4B4.9B7.4B35.8B21.4B10.A$3.6A3BA4B2AB6.4B5.2A4.4B5.
4B37.6B21.4B9.A$2.A.3A2BA11B4.4B7.A5.4B3.4B39.4B21.4B10.2A$3.2A3.2BA
2BA2B2.4B2.4B5.3A7.4B.4B39.6B19.4B$8.4BAB5.8B6.A10.7B39.8B17.4B$11.5B
4.5B20.5B39.4B2.4B15.4B$14.2A5.4B20.5B38.4B4.4B13.4B$14.A7.4B18.7B36.
4B6.4B11.4B$15.3A5.4B16.4B.4B34.4B8.4B9.4B$17.A6.4B14.4B3.4B32.4B10.
4B7.4B$25.4B12.4B5.4B30.4B12.4B5.4B$26.4B10.4B7.4B28.4B14.4B3.4B$27.
4B8.4B9.4B26.4B16.4B.4B$28.4B6.4B11.4B24.4B18.7B$29.5B3.4B13.4B22.4B
20.5B$30.5B.4B15.4B20.4B21.5B$31.8B17.4B18.4B21.7B$30.8B19.4B16.4B21.
4B.4B$29.8B21.4B14.4B21.4B3.4B$29.4B2A3B21.4B12.4B21.4B5.4B$29.4B2A4B
21.2B2A10.4B21.4B7.4B$22.2A5.2A4B.4B21.BABA8.4B21.4B9.3B$18.2A.A.A4.
2B2A2B3.4B21.A3B6.4B21.4B$9.A7.A.A.A5.6B5.4B21.4B4.4B21.4B$8.A.A5.A2.
A.BA4.4B8.4B21.4B2.4B21.4B$8.BA2B5.2A.B2AB.B2A2B10.4B21.8B21.4B$9.2B
8.4B2.ABAB12.4B21.6B21.4B$9.3B7.4B.3BA14.4B21.4B21.4B$9.4B5.9B5.2A9.
4B19.6B19.4B$7.2B2A2B3.5B2A4B5.A11.4B10.A6.8B6.A10.4B$7.2B2A7B3A2BA4B
.BA.A12.4B7.3A5.4B2.4B5.3A7.4B$7.9BA5B2A4B.B2A14.4B5.A7.4B4.2B2A7.A5.
4B$6.8B3ABA3B2A6B17.4B4.2A5.4B6.2A2B5.2A4.4B$6.24B18.9B4.4B8.BA2B4.9B
$6.6B2A3BAB3A8B19.6B5.4B10.4B5.6B$4.2AB.4B2A5BA9B20.8B2.4B12.4B2.8B$
3.A.AB.4BA2B3A7B2A2B18.15B14.15B$3.A5.4B2A5B3.2B2A2B18.14B16.14B$2.2A
5.9B5.4B20.13B18.13B$8.A3B.4B7.3B18.2AB.10B20.10B.B2A$8.2BA2.4B8.2B
17.A.AB3.B2A3B24.3B2AB3.BA.A$6.A2BA2.B2AB.2A5.2BAB16.A6.B2A3B24.3B2AB
6.A$6.AB5.AB.A2.A5.A.A15.2A6.4B28.4B6.2A$7.A6.A.A.A7.A25.3B28.3B$4.3A
5.A.A.2A35.2B.BA22.AB.2B$4.A7.2A38.B2ABA.A20.A.AB2AB$51.BABABA.A20.A.
ABABAB$49.A2.A.A.A.A.2A14.2A.A.A.A.A2.A$49.4A.2A2.A2.A14.A2.A2.2A.4A$
53.A4.2A18.2A4.A$51.A.A30.A.A$51.2A32.2A!
Counting from that point, later gliders arrive at generations
Code: Select all
0+9847n
946+9847n
1892+9847n
2838+9847n
3913+9847n
4859+9847n
5805+9847n
6751+9847n
7697+9847n
8901+9847n
9847 is not a multiple of 5, so for each row there must be one and only one of n from {0,1,2,3,4} that makes the generation count divisible by 5. For a period-5 quinti-Snark to work, however, we need a row whose corresponding generation count is always divisible by 5 no matter what n modulo 5 is, so that it can be set as the output timing.
A working but ugly way to solve this is to use a period-43 quinti-Snark, which is shown as the second, larger p9847 gun above. Two guns have their outputs collide and throw a domino spark to support the quinti-Snark. It may be reduced if there is a glider eater that gives the domino spark with adequate clearance, but I know of none.
dvgrn wrote: ↑September 17th, 2022, 8:20 am
Is there a good way to produce an glider only if two input gliders arrive at exactly the right times? Seems like a p43 gun could maybe be set up as an "anti-filter" for a p229 gun, or vice versa, somehow or other, in a smaller space than that PRNG pattern. But I'm drawing a blank on exactly how that would be done.
One such example from catagolue involves a p104 (4×26) gun and a p44 (4×11) gun:
Code: Select all
#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH gun_4576 costs 8091 cells.
#C period 4576 fullperiod 4576 bbox 93 by 87
#CLL state-numbering golly
x = 93, y = 87, rule = LifeHistory
9.2A4.2B4.2A$8.A2.A.6B.A2.A$8.3A2.6B2.3A$11.10A$10.A2.6A2.A$10.2A.
B4AB.2A$13.4B$14.3B$11.7B$10.8B$10.9B$10.9B$11.7B$13.5B11.2A$10.B
2.5B2.B8.A$.3B3.B.5B3A5B.B2.BA.A$.12BA3BA7B.B2A$2A10BA5BA8B$2A10BA
5BA8B4.2A7.A3.2A$.B.9B3AB3A8B3.B2AB4.3A2.B2A2B14.B$4.22B5.3B3.A6.
4B13.4B7.B$6.19B5.B.B4.2A5.BA2B11.4BA4B3.3B6.2A$6.19B5.9B4.BABA12.
3B2A6B.3B6.A$4.33B6.A2BA13.B4A10B2.BA.A$.B.9B3AB3A18B5.A2BA13.B2A
14B.3A$2A10BA5BA5BA13B4.4B13.3A2B2A5B2A2B3A$2A10BA5BA4BABA5B3A7B.A
2BAB12.3A2B2A5B2A2B3A$.12BA3BA4B2A6BA3BA7B2.2A11.3A.14B2AB$.3B3.B.
5B3A5B2A2BA2BA5BA6B14.A.AB2.10B4AB14.2A$10.B2.5B2.B.BAB2A3BA3BA8B
13.A6.3B.6B2A3B13.A$13.5B4.BA3BA3B3A3B3.4B11.2A6.3B3.4BA4B.B.3B4.B
A.A$11.7B4.3BABA9B4.4B19.B7.4B2.9B.B2A$10.9B5.2BAB.6B7.4B28.B2.2B
2A8B$10.9B6.2B2.3B11.4B15.A14.2B2A8B$10.8B11.B2A12.4B12.3A13.13B$
11.7B12.A14.4B10.A13.15B$14.3B14.3A12.4B9.2A8.B3.12B$13.4B16.A13.
4B6.4B7.2AB.12B$10.2A.B4AB.2A6.2A18.4B4.3B9.2A14B$10.A2.6A2.A6.A.A
14.B2.6B.4B10.B.13B$11.10A5.2A3.A10.18B12.10B.B2A$8.3A2.6B2.3A.A2.
2A.A9.19B13.B.7B.BA.A$8.A2.A.6B.A2.A.2A.A.A.2A8.19B13.7B5.A$9.2A4.
2B4.2A3.A.A.A.A5.2B.21B11.8B5.2A$26.A.3A.A4.2A16BABA3B3.2A6.4B2.4B
$27.5A5.2A17B2A2B4.A6.4B4.4B$28.3B7.2B.11B3.BA2B6.A4.4B6.4B$22.2A
3.2B.2B9.10B6.4B3.2A3.4B8.4B$21.A2.A2.5B11.7B9.2A2.A4.4B10.4B$19.B
A.A.A3.3A14.A5B8.A3.A3.4B12.4B$19.BAB.A4.BAB13.B2A5B8.3A3.4B14.4B$
19.A3B6.A13.BABA2.4B5.A.A4.4B16.4B$20.ABA2.4B13.4B4.4B4.2A4.4B18.
4B$23.7B11.4B6.4B8.4B20.4B$24.7B9.4B8.4B6.4B22.4B$23.7B.2B6.4B10.
4B4.4B24.3BA$23.9B2A4.4B12.4B2.4B26.ABA$22.8B.B2A3.4B14.8B5.2A21.
2A$22.8B2.B3.4B16.7B5.A23.B$22.8B5.4B16.B.7B.BA.A$23.7B4.4B16.10B.
B2A$23.7B3.4B14.B.13B$22.14B14.2A14B$22.13B15.2AB.12B$19.AB.12B17.
B3.12B$18.A.A12B.B20.15B$19.A2B.9B.2BA22.13B$20.B.12BA.A22.2B2A8B$
21.ABA9B.BA20.A2.2B2A8B$20.B2A4B3A3B13.B7.A2BA2.9B.B2A$20.2BA4BA2B
A2B4.2A6.BAB3.2BA5BA.B.3B4.BA.A$18.2AB4.3BA3B6.A6.ABA.3BA6BA13.A$
17.A.AB4.7B6.A.AB2.8BA2BA3B14.2A$17.A7.7BA6.2AB.BA2BA3BABA6B$16.2A
4.B2.8B8.3B2A3BABA2B2AB2AB$21.2AB.4B3AB8.B2AB2A2BABA3B2A3B$21.2A9B
9.6BABA3BA2BAB.B2A$22.2B.7B10.3BA2BA8B2.BA.A$24.7B10.A6BA3B.ABA6.A
$25.7B9.A5BA2B3.BAB6.2A$26.4B2.ABA8.A2BA7.B$23.ABA6.3BA8.A$18.B2.B
A3B5.A.BAB$17.2A2BA4BA3.A.A.AB$17.2ABA2BAB2A3.A2.A$18.3B2A2.B5.2A$
18.3B!
(Don't ask why it does not simply double the improved
gun_2288)
But 43 and 229 are both prime, thus coprime, so the glider interactions happen at any possible timing, presumably making the result much complex.