Stable permanentswitch with 1 input signal
I've long been looking for a stable equivalent of Bill Gosper's ingenious p46 permanentswitch:
Code: Select all
x = 158, y = 63, rule = B3/S23
79bo$77bobo$78b2o21$102bo$100bobo$101b2o18$b2o44b2o44b2o$4o21b2o19b4o
21b2o19b4o21b2o$2ob2o18b2ob2o18b2ob2o18b2ob2o18b2ob2o18b2ob2o$2b2o19b
4o21b2o19b4o21b2o19b4o$24b2o44b2o44b2o3$143b3o7b2o$142bo4bo4bo2bo$111b
2o7bo20bo5bo4bo2bo$110bo2bo6b2o20bo8bo3bo$109b2o2bo8bo20b2o8b2o$110bo
2bo4bob2o$111bo6b3o22b2o8b2o$142bo8bo$111bo6b3o8b2o10bo5bo8b2o$110bo2b
o4bob2obo5b2o11bo4bo9bo$96b2o11b2o2bo10bo18b3o7bo$96b2o12bo2bo6bo3bo
28bo2bo$111b2o7b4o!
There is a permanentswitch in the database (
http://www.conwaylife.com/patterns/permanentswitch.rle), but it requires 2 input signals. This one requires only one (the stream from the left is the periodic one to be switched. The Herschel from below is the switch):
Code: Select all
x = 221, y = 221, rule = LifeHistory
85.A11.2A$84.A.A9.B2AB$76.A3.2A2.A.A9.3B$75.A.A2.A2.2A.2A9.B.B$61.2A
12.A.A3.A.A2.B8.5B$62.A13.A.4A2.2A2B6.6B$62.A.AB12.A3.A.A.2A4.8B$63.
2AB.B9.A2.BA.A2.13B$65.4B7.A.2BA.A5.A12B$65.4B7.2A.2BA5.A14B$49.2A14.
5B10.3B4.2A13B$47.2B2AB12.6B11.2B.B.3B5A9B$47.4B13.8B2.6B3A6B2A12B$
46.4B13.19BA21B$47.B3A13.6BA10BA23B$45.3B3AB13.5BAB.27B3.B2A$45.7B12.
4BA30B4.A2.A$44.2A7B11.3B3A3BA9B2.2B2.B3.6B5.2A.A$44.2A9B8.3BA3BAB2A
6B14.6B7.A$45.B.3B2A6B2.2B.4B5A6B14.9B6.2A$48.ABA17B3A3B2AB15.2A4.4B$
48.BA18B.6BAB16.A4.4B$48.6BABA7B2A2B3.3BA4B11.3A5.4AB$48.7B2A7B2A2B5.
B3.2A11.A6.B2A2BA3B$49.6BA11B10.A19.BA4BA2B$56.4B.3B.B12.3A16.4B2A3B$
57.4B19.A15.4B2A4B$58.4B33.12B$59.4B22.2A8.13B$60.4B22.A9.11B$61.4B
21.A.AB4.ABA9B$62.4B10.A10.2AB.3BABA9B$28.A11.2A21.4B7.3A12.6BA3BA2B
2A2B$27.A.A9.B2AB21.4B5.A15.10BABA3BA$9.2A8.A3.2A2.A.A9.3B23.4B4.2A
15.11BA2BA2B.B$8.B2AB6.A.A2.A2.2A.2A9.A.B15.2A6.9B14.13BA5B2A$9.3B6.A
.A3.A.A2.B8.BABAB16.A7.6B14.8B3A2B2A4B.B2A$8.B.B8.A.4A2.AB2A6.B2AB2A
16.A.2A5.6B3.B2.2B2.A15B2A2B4.B$8.5B8.A3.A.A.2A4.3BA4B17.A2.A4.7B2A8B
2A17B$8.6B6.A2.BA.A2.7B2AB2AB19.2AB3.19B2A6B.3B2A4B$7.6B6.A.2BA.A5.3B
2AB6AB18.10B2A3BA10BA5B2.2B2A3B$6.7B6.2A.2BA5.3BA4B6AB18.9BA10B5A6B2.
7B$7.6B10.3B4.3BAB2A2BA3B2A19.8BA13BA6B4.6B46.2A$7.7B10.2B.B.5B4A4B3A
B18.9BA2BA4B.B.2B10.2BA4B46.A$7.6B4.19BABABA2B2AB19.15B4.3B10.BA4B43.
BA.A$7.7B2.20B2A3B2A4B18.15B5.A2B.2A6.7B42.B2A$7.7B2.5B2A18B2A5B18.
13B5.A.A2B.A7.2BABA41.3B$6.9B.4BABA20B3.B2A19.13B2.A.AB2.A8.2BA2BA39.
2A2B$6.10B2A4BA19B4.A2.A18.7B4.2A.A.A3.A7.6BA2B37.2B2A$.B4.9BABA8B2.
2B2.B3.6B5.2A.A17.5B6.2ABA2.4A.A5.2A.2BA4B35.2BAB$2AB.10B2ABA5B14.6B
7.A15.6B8.B2.A.A3.A.A5.A5.4B33.4B$2A13B2ABA2B14.9B6.2A14.2A11.2A.2A2.
A2.A.A2.3A7.4B20.A10.4B$.B.13B3AB15.2A4.4B22.A12.A.A2.2A3.A3.A10.4B
19.3A7.4B$4.17B15.A5.4B18.3A5.A7.A.A23.4B21.A5.4B$4.17B12.3A7.4B17.A
5.3A8.A25.4B7.2A10.2A4.4B$4.15B.B2A10.A10.2B2A21.A30.2A6.4B7.A10.9B$
4.12B4.BA.A21.BABA20.2A30.A7.4B6.A.AB9.6B3.2A$3.2A9B9.A22.A3B17.4B17.
A11.A9.4B6.2AB.3B4.6B4.A$2.A12B8.2A22.4B15.2AB19.3A9.2A9.BDBD7.7B.7B.
BA.A$3.2A10B33.4B14.2A2B21.A9.B10.B2DB6.15B.B2A$4.10B15.A19.4B12.2BA
2B8.2A10.2A9.3B9.D7B2.16B$4.4BA4B16.3A12.B.B2A.4B11.6B8.A10.5B5.6B8.
26B$4.3BABA3B19.A10.3B5A10B2.4B3AB8.A.AB9.4B3.10B4.7BA3BA14B$4.3BA5B
6.A11.2A3.B5.4BA4BA20B8.2AB.3B4.6B2.11B.7BA2BAB3A11B.B2A$7.BA3B5.3A
11.8B3.4B3A2BA19B11.7B.13B2A8B3D5BABABA8B4.BA.A$8.4B4.A16.8B.5BA2B2A
10B.7B12.16B2A3B2A6BD3B2D2BA7B.7B6.A$8.4B4.2A15.15B2A21B12.12B2A2B2A
10BDBD2B2D2A7B2.B.2B.B2A4.2A$.2A6.9B14.15B.2B2.16BA2B11.13B5A10BD5BD
2BABA3BAB7.BA.A$2.A7.6B14.17B8.11B2A4B8.16B3A12BD2B2D3BABA4B11.A$2.A.
2A5.6B3.B2.BA2.19B11.15B.2B2.19B.B3.10BD2B.4B.6B11.2A$3.A2.A4.12B4A
19B12.15BC6BD13B7.7B.B5.3B3.B.4B$4.2AB3.4BABA4B5ABA9B.7B13.8B.6B2C5BD
BDB3C7B19.4B7.4B$5.10B2A3BA6B2A17B10.8B3.5BCB2C4B3D2BC2B.B.5B17.2A10.
4B$6.9BA3BA3BAB3A19B9.2A3.B5.5BCBC7BD3C2B6.2A18.A11.4B$7.13BABA2B2A9B
2.3BABA2B11.A10.4B2C14B6.A16.3A13.4B$7.17B.B.2B11.4BAB8.3A12.B.10B.6B
7.3A13.A16.4B$8.15B4.3B10.BA2BA9.A19.4B4.6B9.A31.4B$8.15B5.A2B.2A7.AB
AB27.5B6.5B42.4B$9.13B5.A.A2B.A7.4B25.A.2AB8.6B42.4B$11.13B2.A.AB2.A
9.B.B2A21.3AB2AB7.6B44.4B$10.8B4.2A.A.A3.A12.BA.A19.A4.B9.7B44.4B$10.
6B6.2ABA2.4A.A13.A20.3A.2A9.6B45.4B$10.5B8.B2.A.A3.A.A12.2A21.A.A10.
6B46.4B$10.B.B9.2A.2A2.A2.A.A35.A.A10.6B47.4B$11.3B9.A.A2.2A3.A37.A
10.8B47.4B$10.B2AB9.A.A55.8B49.4B$11.2A11.A56.9B49.4B$81.9B50.4B$80.
10B51.4B$80.3B2A5B52.4B$74.2A3.4B2A5B53.4B$75.A3.11B54.4B$75.A.A12B
55.4B$76.2A2.8B58.4B$81.7B59.4B$82.6B60.4B$82.7B60.4B$81.7B5.2A55.4B$
81.8B3.A.A56.4B$81.8B3.A59.4B$81.9B.2A60.4B$80.11B63.3BA$79.12B64.3BA
$79.12B65.3AB$72.2A6.10B67.4B$73.A7.11B66.4B$73.A.AB.14B67.4B$74.2AB.
13B2A67.4B$76.15B2A68.4B$75.15B.B70.4B$76.14B73.4B$74.2AB.11B75.4B$
73.A.AB3.9B76.4B$73.A8.8B76.4B$72.2A9.7B77.4B$80.11B77.4B$79.12B78.4B
$70.2A7.12B79.4B$69.A2.A2.2A2.11B81.4B$70.2A2.A.A2.8B.4B80.4B$72.2A.B
3.7B4.2A81.4B$72.A2.2B2.7B4.A83.4B$69.2A.A.BA2B.6B6.3A81.4B$69.A.2A.A
.A8B8.A82.4B$73.A.A.8B92.4B$70.2A2.A4.5B94.4B$68.3A.2A4.6B95.4B$67.A
4.B6.6B95.4B$68.3AB2AB3.7B96.4B$70.A.2AB.8B98.4B$74.10B99.4B$74.11B
99.4B$74.10B5.2A94.4B$74.10B5.A96.4B$73.11B2.BA.A97.4B$73.5BA3BA2B.B
2A99.4B$72.5B2A3B2A3B102.4B$71.5B2A5B2A2B103.4B$68.2B.6B2A3B2A3B104.
3BA$67.2A9B5A4B105.3BA$67.2AB.8B3A6B105.3AB$68.B.4B.5BA2B2.4B105.4B
13.A$75.7B4.4B105.4B10.3A$76.6B5.4B105.4B8.A$78.4B6.4B105.4B7.2A$80.
3BA5.4B105.4B3.5B$81.BA.A5.4B105.4B2.3B$82.A.A6.4B105.9B7.2A$83.A8.4B
105.8B8.A$84.3A6.2B2A105.10B3.B.A.2A$86.A7.BABA104.7BA3B.B3A2.A$95.A
3B103.7B2A3BAB2.2A$96.4B102.12B2ABA$97.4B99.2AB.7B3.2B.A$98.4B97.A.AB
.7B2.B3A$99.4B96.A5.4B4.A$100.4B94.2A5.A3B5.5A$101.4B99.BABA8.A2.A$
102.4B97.2B2A11.2A$103.4B95.4B$104.4B93.4B$105.4B91.4B$106.4B89.4B$
107.4B87.4B$108.4B85.4B$109.4B83.4B$110.4B81.4B$111.4B79.4B$112.B3A
77.4B$113.A3B75.4B$114.A3B73.4B$115.4B71.4B$116.4B69.4B$117.4B67.4B$
118.4B65.4B$119.4B63.4B$120.4B61.4B$121.4B59.4B$122.4B57.4B$123.4B55.
4B$124.4B53.4B$125.4B51.4B$126.4B49.4B$127.4B47.4B$128.4B45.4B$129.4B
43.4B$130.4B41.4B$131.4B39.4B$132.4B37.4B$133.4B35.4B$134.4B33.4B$
135.4B31.4B$136.4B29.4B$137.4B27.4B$138.4B25.4B$139.4B23.4B$140.4B21.
4B$141.4B19.4B$142.4B6.A10.4B$143.4B5.3A7.4B$144.4B7.A5.4B$145.4B5.2A
4.4B$146.4B4.9B$147.4B5.6B$148.4B2.8B$149.15B$150.14B$151.13B$152.10B
.B2A$154.3B2AB3.BA.A$154.3B2AB6.A$156.4B6.2A$156.3B$153.AB.2B$152.A.A
B2AB$152.A.ABABAB$151.2A.A.A.A2.A$152.A2.2A.4A$150.A.A4.A$150.2A5.A.A
$158.2A!
This pattern is a p74 PRNG with K=17, which can easily be extended to K=25 and K=29. There is an almost-solution with a glider, but unfortunately the reset glider needs to be ahead by one tick, so it also requires 2 input signals:
Code: Select all
x = 71, y = 67, rule = LifeHistory
46.A$44.3A$31.A11.A$31.3A9.2A$34.A9.B$21.2A10.2A9.3B$3.2A17.A10.5B5.
6B$4.A17.A.AB9.4B3.10B$3.A19.2AB.3B4.6B2.11B3.2B2.6B$3.2A20.7B.9BD3B
2A15BD3B$4.B20.17B2D2B2A15BDBDB.2B$4.3B19.17B2D18B3D3B2A$3.6B16.18BD
21BDB.B2A$2.10B11.19BD24B2.B$2.11B3.2B2.C18B.B3.13B.B$2BC3B2A13B2C14B
7.7B.B$2B2C2B2A14B2C5B2D6B$.2B2C19BC4B2D2B.5B$2.2C15B5C8B5.2A$2.20BC
10B4.A$4.13B.4B8.4B4.3A$4.7B.B5.3B10.2B2C5.A$16.4B12.2CB$16.2A15.BC$
17.A$14.3A$14.A14$46.A$44.3A$31.A11.A$31.3A9.2A$34.A9.B$21.2A10.2A9.
3B$3.2A17.A10.5B5.6B$4.A17.A.AB9.4B3.10B$3.A19.2AB.3B4.6B2.11B3.2B2.
6B$3.2A20.7B.9BD3B2A15BD3B$4.B20.17B2D2B2A15BDBDB.2B$4.3B19.17B2D18B
3D3B2A$3.6B16.18BD21BDB.B2A$2.10B11.19BD24B2.B$2.11B3.2B2.C18B.B3.13B
.B$2BD3B2A13B2C14B7.7B.B$2B2D2B2A14B2C5B2C6B$.2B2D19BC4B2C2B.5B$2.2D
15B5C8B5.2A$2.20BC10B4.A$4.13B.4B8.4B4.3A$4.7B.B5.3B10.BA2C5.A$16.4B
12.CDB$16.2A15.AD$17.A$14.3A$14.A!
Edit:
There is a much simpler solution:
Code: Select all
x = 204, y = 130, rule = LifeHistory
37.A11.A$37.3A7.3A$40.A5.A$39.2A5.2A15.A$39.5B3.B13.3A$41.4B2.4B9.A$
39.15B6.2A18.2A11.A$38.14BA2B2.5B17.B2AB9.A.A$37.14B3A6B20.3B9.A.A2.
2A3.A$37.13BA3BA4B2A18.B.B9.2A.2A2.A2.A.A12.A49.A$37.13B2A2B2A3B2A18.
5B8.B2.A.A3.A.A10.3A47.3A$35.2AB.14B2A3B.B19.6B6.2ABA2.4A.A10.A49.A
26.A$34.A.AB2.12B2A4B21.8B4.2A.A.A3.A12.2A48.2A25.3A$34.A6.10B2A4B23.
13B2.A.AB2.A9.4B46.4B28.A$33.2A6.9BA5B22.13B5.A.A2B.A7.3B48.2B29.2A$
43.7B2A3B22.15B5.A2B.2A7.4B36.2A9.3B28.4B$43.15B19.15B4.3B10.5B9.A26.
A10.3B9.A20.3B$43.16B17.7B2A8B.B.2B11.6B8.3A12.B.3B4.BA.A10.4B8.3A12.
B.3B.4B$42.4B.12B7.2A8.5B2ABA20B2.8B11.A10.9B.B2A11.4B11.A10.17B$41.
4B3.11B2.2A2.A2.A6.6B2A17B3A13B9.2A3.B5.2B2A8B13.5B9.2A3.B5.2B2A11BD
2B$40.4B2.4B.8B2.A.A2.A.A5.7B2ABA13B2AB2A12B10.8B3.2B2A8B13.4B10.8B3.
2B2A9B3D2B$39.4B3.2A4.7B3.B.2A.A5.2AB3.4B2A13B2AB2A3B.7B13.8B.12B13.
3B13.8B.13BDBD2B$38.4B5.A4.7B2.AB2.A6.A2.A4.19B2A14B12.20B14.4B12.22B
D4B$37.4B3.3A6.6B.B2AB.A2.A2.A.2A5.6B3.B2.2B2.19B11.15B.2B17.4B11.15B
.2B2.8B$22.A13.4B4.A8.9B.A.4A2.A7.6B14.17B8.17B20.5B8.17B8.5B$22.3A
10.BA2B14.8B.A.A4.3A6.9B14.15B.2B2.19B21.5B.2B2.19B11.3B$25.A8.2A2B
16.5B4.A2.2A9.4B4.2A15.22BC15B21.13BD15B12.2B$24.2A7.2B2A17.6B4.2A.3A
6.4B5.A16.8B.13BCBC12B22.13BDBD12B12.3B$24.5B3.4B17.6B6.B4.A4.4B7.3A
11.8B3.2B2A9B3C3B2C8B21.2B2A9B3D3B2C8B11.3B$26.3B2.4B18.7B3.B2AB3A4.
4B10.A11.2A3.B5.2B2A11BC3B2C9B20.2B2A11BD3B2C9B8.2AB.B$16.2A7.9B20.6B
AB.B2A.A5.4B24.A10.28B22.28B8.A.AB$16.A8.8B21.5BA4B8.4B22.3A12.B.3B.
4B3.4B.B.7B23.B.3B.4B3.4B.B.7B8.A$13.2A.A.B3.10B21.5B3A3B7.4B23.A19.
4B3.4B5.5B30.3B3.4B5.5B8.2A$13.A2.3AB.2B2A7B15.2A5.6BA3B6.4B43.4B3.4B
7.4B28.4B3.4B7.4B$14.2A2.BA3B2A7B16.A5.5B3A2B5.4B43.4B3.4B8.3B29.2A4.
4B8.3B$16.4A12B16.A.AB2.5B2A4B3.2A2B43.4B3.4B10.4B28.A3.4B10.4B$16.A.
2B3.7B.B2A15.2AB.6BA5B2.2B2A43.4B3.4B13.2A25.3A3.4B13.2A$17.3AB2.7B.B
A.A16.17BAB43.4B3.4B14.A26.A4.4B14.A$20.A4.4B5.A16.18B43.4B3.4B16.3A
27.4B16.3A$15.5A5.4B5.2A15.17B43.4B3.4B19.A26.4B19.A$15.A10.4B21.16B
43.4B3.4B46.4B$17.A9.4B19.16B43.4B3.4B46.4B$16.2A10.4B10.A6.A3B2.8B.
2B42.4B3.3CB46.3DB$29.3BA7.3A5.B2AB4.7B2.B41.4B3.3BC46.3BD$30.ABAB5.A
7.BABA5.6B2.3B39.4B3.3BC46.3BD$31.2A2B4.2A5.4B6.4B4.3A38.4B3.4B46.4B$
32.9B4.4B5.A3B5.A.A.A36.4B3.4B$33.6B5.4B5.A.AB6.A3BA35.4B3.4B$33.8B2.
4B6.A.A5.2A.3A.2A32.4B3.4B$31.15B8.A5.A.B.3A.B.A30.4B3.4B$31.14B6.3A
6.A.A2B.2BA.A29.4B3.4B$31.13B7.A7.2A.ABA.ABA.2A27.4B3.4B$29.2AB.10B
17.A.A2B.2BA.A27.4B3.4B$28.A.AB3.B2A3B19.A.BA3.AB.A26.4B3.4B$28.A6.B
2A3B18.2A.2AB.B2A.2A24.4B3.4B$27.2A6.4B23.2AB.B2A26.4B3.4B$36.3B20.2A
.2AB.B2A.2A22.4B3.4B$37.2B.BA17.A.A2.B.B2.A.A21.4B3.4B$36.B2ABA.A19.
3A.3A23.ABAB3.4B$35.BABABA.A17.2A2.B.B2.2A20.B2AB3.4B$33.A2.A.A.A.A.
2A13.A2.ABA.ABA2.A18.3BA3.4B$33.4A.2A2.A2.A14.2A2.B.B2.2A18.4B3.4B$
37.A4.2A17.A.2A.2A.A18.4B3.4B$35.A.A23.A2.A.A2.A17.4B3.4B$35.2A25.2A
3.2A17.4B3.4B$44.2B39.4B3.4B$42.6B36.4B3.4B$40.10B33.4B3.4B$38.4BA4BA
4B30.4B3.4B$37.3B2AB4AB2A3B28.4B3.4B$26.A11.4BA4BA4B28.4B3.4B$26.3A
11.10B29.4B3.4B$29.A12.6B30.4B3.4B$28.2A14.2B31.4B3.4B$28.5B8.3B2.3B
27.4B3.4B$30.3BAB4.B3A4B3AB24.4B3.4B$29.3BABA3B6A2B6A22.A3B3.4B$28.4B
A2BA2B.B3A4B3AB22.A3B3.4B$29.4B2A3B3.2B4.2B23.B3A3.4B$4.B25.6B35.4B3.
2A2B$3.3A5.B19.5B34.4B3.ABAB$3.3B4.3B17.7B32.4B3.3BA$2.A3BA3.B2A16.4B
.4B30.4B3.4B$2.A3BA2.BA2BA14.4B3.4B28.4B3.4B$.7B.4BA13.4B5.4B26.4B3.
4B$.2B3A2B.4A13.2A2B7.4B24.4B3.4B$9B.A2B12.2B2A9.4B22.4B3.4B$9B.A2B
11.2BAB11.4B20.4B3.4B$.2B3A2B.4A10.4B13.4B18.4B3.4B$.7B.4BA8.4B15.BAB
A16.4B3.4B$2.A3BA2.BA2BA7.4B17.B2AB14.4B3.4B$2.A3BA3.B2A7.4B19.A3B12.
4B3.4B$3.3B4.3B6.4B21.4B10.4B3.4B$3.3A5.B6.4B23.4B8.4B3.4B$4.B6.3B3.
4B25.4B6.4B3.4B$11.3B2.4B27.4B4.BA2B3.4B$11.BA6B29.4B2.2A2B3.4B$10.BA
BA4B31.6B2A3.4B$10.A2BA3B33.6B3.4B$9.2B2A5B33.4B3.4B$9.10B31.6B.4B$9.
6B.4B29.11B$7.2AB.3B3.4B27.4B2.5B$6.A.AB2.B5.4B25.4B2.6B$6.A12.4B23.
4B2.4B2A3B3.2B4.2B$5.2A13.4B21.4B2.4BA2BA2B.2B2AB2AB2A2B$21.4B19.4B4.
3BABA6B2A4B2A3B$22.4B6.A10.4B6.3BAB4.2B2AB2AB2A2B$23.4B5.3A7.4B5.5B8.
3B2.3B$24.4B7.A5.4B6.2A14.2A$25.4B5.2A4.4B8.A12.A4BA$26.4B4.9B6.3A11.
BA6BAB$27.4B5.6B7.A11.2BA8BA2B$28.4B2.8B18.3BA8BA3B$29.7BA7B17.2BA8BA
2B$30.6BABA5B19.BA6BAB$31.5B2A6B21.A4BA$32.5B2A3B.B2A21.2A$34.3B2AB3.
BA.A$34.3B2AB6.A$36.4B6.2A$36.3B$33.AB.2B$32.A.AB2AB$32.A.ABABAB$29.
2A.A.A.A.A2.A$29.A2.A2.2A.4A$31.2A4.A$37.A.A$38.2A!
With the glider output closed the switch will work down to p63.