A 3 state 'Generations' version of this rule.
Some Oscillators:
Code: Select all
x = 241, y = 130, rule = B3/S345/3
133.2A.2A82.BA$132.A.3A.A67.2A.2A6.2A.2A$132.2A.A.2A66.A.3A.A.2A.A.
3A.A$88.BA43.2A.2A60.2A.2A2.2A.A.2A.2A.2A.A.2A2.2A.2A$85.2A.2A42.2A
.A.2A58.A.3A.A.2A.A.2A4.2A.A.2A.A.3A.A$84.A.3A.A41.A.3A.A58.2A.A.2A
.A.3A.A4.A.3A.A.2A.A.2A$26.BA56.2A.A.2A42.2A.2A56.2A.2A.A.2A2.2A.2A
6.2A.2A2.2A.A.2A.2A$14.2A2.2A2.2A2.2A57.2A.2A104.2A.A.3A.A16.AB2.A.
3A.A.2A$14.2A2.2A2.2A2.2A56.2A.A.2A42.2A.2A54.2A4.2A.2A22.2A.2A4.2A
$12.2A2.2A2.2A2.2A2.2A54.A.3A.A41.A.3A.A53.2A40.2A$12.2A2.2A2.2A2.2A
2.2A49.2A.2A.2A.2A.2A.2A36.2A.A.2A$30.2A46.A.3A.A5.A.3A.A36.2A.2A52.
4A40.4A$30.2A46.2A.A.2A5.2A.A.2A35.2A.A.2A50.A.2A.A38.A.2A.A$28.2A49.
2A.2A7.2A.2A36.A.3A.A50.2A2.2A38.2A2.2A$28.2A48.2A.A.2A5.2A.A.2A36.
2A.2A52.4A40.4A$30.2A46.A.3A.A5.A.3A.A92.2A2.2A38.2A2.2A$30.2A41.2A
.2A.2A.2A7.2A.2A.2A.2A31.2A.2A51.A.2A.A38.A.2A.A$28.2A42.A.3A.A17.A
.3A.A29.A.3A.A51.4A40.4A$28.2A42.2A.A.2A17.2A.A.2A29.2A.A.2A$30.2A41.
2A.2A19.2A.2A31.2A.2A50.4A44.4A$30.2A40.2A.A.2A17.2A.A.2A29.2A.A.2A
48.A.2A.A42.A.2A.A$28.2A42.A.3A.A17.A.3A.A29.A.3A.A48.2A2.2A42.2A2.
2A$28.2A37.2A.2A.2A.2A19.2A.2A.2A.2A3.2A.2A3.2A.2A3.2A.2A.2A.2A50.4A
44.4A$30.2A34.A.3A.A29.A.3A.A.A.3A.A.A.3A.A.A.3A.A54.2A2.2A42.2A2.2A
$30.2A34.2A.A.2A29.2A.A.2A.2A.A.2A.2A.A.2A.2A.A.2A54.A.2A.A42.A.2A.
A$32.2A33.2A.2A31.2A.2A3.2A.2A3.2A.2A3.2A.2A56.4A44.4A$32.2A32.2A.A
.2A29.2A.A.2A.2A.A.2A.2A.A.2A.2A.A.2A$34.2A30.A.3A.A29.A.3A.A.A.3A.
A.A.3A.A.A.3A.A55.2A48.2A$34.2A25.2A.2A.2A.2A25.2A.2A.2A.2A3.2A.2A3.
2A.2A3.2A.2A.2A.2A7.2A.2A7.2A.2A26.2A48.2A$36.2A22.A.3A.A29.A.3A.A29.
A.3A.A5.A.3A.A5.A.3A.A$36.2A22.2A.A.2A29.2A.A.2A29.2A.A.2A5.2A.A.2A
5.2A.A.2A25.4A44.4A$38.2A21.2A.2A31.2A.2A31.2A.2A7.2A.2A7.2A.2A25.A
.2A.A42.A.2A.A$38.2A20.2A.A.2A29.2A.A.2A29.2A.A.2A5.2A.A.2A5.2A.A.2A
24.2A2.2A42.2A2.2A$40.2A18.A.3A.A29.A.3A.A29.A.3A.A5.A.3A.A5.A.3A.A
25.4A44.4A$40.2A19.2A.2A.2A.2A19.2A.2A.2A.2A31.2A.2A.2A.2A.2A.2A.2A
.2A.2A.2A25.2A2.2A42.2A2.2A$5.2A35.2A22.A.3A.A17.A.3A.A41.A.3A.A5.A
.3A.A30.A.2A.A42.A.2A.A$5.2A35.2A22.2A.A.2A17.2A.A.2A41.2A.A.2A5.2A
.A.2A31.4A44.4A$40.2A25.2A.2A19.2A.2A43.2A.2A7.2A.2A$5.2A33.2A24.2A
.A.2A17.2A.A.2A41.2A.A.2A5.2A.A.2A33.4A40.4A$5.2A31.2A26.A.3A.A17.A
.3A.A41.A.3A.A5.A.3A.A32.A.2A.A38.A.2A.A$38.2A27.2A.2A.2A.2A13.2A.2A
43.2A.2A7.2A.2A33.2A2.2A38.2A2.2A$5.2A29.2A34.A.3A.A111.4A40.4A$5.2A
29.2A34.2A.A.2A110.2A2.2A38.2A2.2A$34.2A37.2A.2A111.A.2A.A38.A.2A.A
$5.2A27.2A36.2A.A.2A111.4A40.4A$5.2A25.2A38.A.3A.A$32.2A39.2A.2A.2A
.2A108.2A40.2A$5.2A23.2A46.A.3A.A107.2A4.2A.2A22.2A.2A4.2A$5.2A23.2A
46.2A.A.2A109.2A.A.3A.A20.A.3A.A.2A$7.2A.2A.2A.2A.2A.2A.2A.2A49.2A.
2A110.2A.2A.A.2A2.2A.2A6.2A.2A2.2A.A.2A.2A$7.2A.2A.2A.2A.2A.2A.2A.2A
48.2A.A.2A112.2A.A.2A.A.3A.A4.A.3A.A.2A.A.2A$78.A.3A.A112.A.3A.A.2A
.A.2A4.2A.A.2A.A.3A.A$79.2A.2A114.2A.2A2.2A.A.2A.2A.2A.A.2A2.2A.2A$
205.A.3A.A.2A.A.3A.A$206.2A.2A6.2A.2A19$65.2A.2A79.BA$65.5A66.2A11.
2A$63.2A71.2A11.2A$63.2A2.3A64.2A2.2A7.2A2.2A$64.A.A.2A63.A.A2.A.A5.
A.A2.A.A$28.BA33.2A.2A2.2A.2A58.2A.2A.2A5.2A.2A.2A$15.2A.2A5.2A.2A33.
2A.2A2.2A.2A56.2A2.A2.A2.2A.2A2.A2.A2.2A$15.5A5.5A38.2A.A.A57.2A2.A
2.A2.2A.2A2.A2.A2.2A$20.2A.2A43.3A2.2A58.2A.2A.2A5.2A.2A.2A$15.3A2.
2A.2A2.3A43.2A58.A.A2.A.A5.A.A2.A.A$15.2A.A.A3.A.A.2A38.5A61.2A2.2A
7.2A2.2A$10.2A.2A2.2A.2A.2A.2A2.2A.2A33.2A.2A63.2A11.2A69.BA$10.2A.
2A2.2A.2A.2A.2A2.2A.2A101.2A11.2A66.2A.2A$11.A.A.2A11.2A.A.A34.2A.2A
61.2A15.2A57.2A.2A.A.3A.A$10.2A2.3A11.3A2.2A33.5A61.2A15.2A57.2A.2A
.2A.A.2A$10.2A21.2A38.2A57.2A2.2A11.2A2.2A56.A.A3.2A.2A$5.2A.2A2.5A
11.5A2.2A.2A28.3A2.2A56.A.A2.A.A9.A.A2.A.A54.2A.2A.2A.A.2A$5.5A2.2A
.2A11.2A.2A2.5A28.2A.A.A57.2A.2A.2A9.2A.2A.2A54.2A.2A.A.3A.A$10.2A21.
2A28.2A.2A2.2A.2A54.2A2.A2.A2.2A5.2A2.A2.A2.2A47.2A.2A7.2A.2A.2A.2A
$5.3A2.2A21.2A2.3A23.2A.2A2.2A.2A54.2A2.A2.A2.2A5.2A2.A2.A2.2A47.5A
7.AB3.A.3A.A$5.2A.A.A23.A.A.2A24.A.A.2A61.2A.2A.2A9.2A.2A.2A66.2A.A
.2A$2A.2A2.2A.2A21.2A.2A2.2A.2A18.2A2.3A61.A.A2.A.A9.A.A2.A.A49.5A13.
2A.2A$2A.2A2.2A.2A21.2A.2A2.2A.2A18.2A67.2A2.2A11.2A2.2A50.2A.2A12.
2A.A.2A$.A.A.2A31.2A.A.A21.5A64.2A15.2A69.A.3A.A$2A2.3A31.3A2.2A20.
2A.2A64.2A15.2A52.2A.2A13.2A.2A$2A41.2A87.2A19.2A49.A.3A.A$2.5A31.5A
2.2A.2A15.2A.2A62.2A19.2A49.2A.A.2A12.2A.2A$2.2A.2A31.2A.2A2.5A15.5A
60.2A2.2A15.2A2.2A48.2A.2A13.5A$43.2A18.2A64.A.A2.A.A13.A.A2.A.A46.
2A.A.2A$43.2A2.3A13.2A2.3A59.2A.2A.2A13.2A.2A.2A46.A.3A.A12.5A$44.A
.A.2A14.A.A.2A57.2A2.A2.A2.2A9.2A2.A2.A2.2A45.2A.2A.2A.2A7.2A.2A$43.
2A.2A2.2A.2A8.2A.2A2.2A.2A52.2A2.A2.A2.2A9.2A2.A2.A2.2A50.A.3A.A.2A
.2A$43.2A.2A2.2A.2A8.2A.2A2.2A.2A54.2A.2A.2A13.2A.2A.2A52.2A.A.2A.2A
.2A$48.2A.A.A14.2A.A.A55.A.A2.A.A13.A.A2.A.A53.2A.2A3.A.A$48.3A2.2A
13.3A2.2A55.2A2.2A15.2A2.2A53.2A.A.2A.2A.2A$53.2A18.2A57.2A19.2A55.
A.3A.A.2A.2A$48.5A2.2A.2A8.5A59.2A19.2A56.2A.2A$48.2A.2A2.5A8.2A.2A
57.2A23.2A$53.2A75.2A23.2A$53.2A2.3A8.2A.2A55.2A2.2A19.2A2.2A$54.A.
A.2A8.5A54.A.A2.A.A17.A.A2.A.A$53.2A.2A2.2A.2A.2A59.2A.2A.2A17.2A.2A
.2A$53.2A.2A2.2A.2A.2A2.3A8.2A.2A39.2A2.A2.A2.2A13.2A2.A2.A2.2A$58.
2A.A.A3.A.A.2A8.5A39.2A2.A2.A2.2A13.2A2.A2.A2.2A$58.3A2.2A.2A.2A2.2A
.2A.2A46.2A.2A.2A17.2A.2A.2A$63.2A.2A.2A2.2A.2A.2A2.3A8.2A.2A28.A.A
2.A.A17.A.A2.A.A$58.5A8.2A.A.A3.A.A.2A8.5A29.2A2.2A19.2A2.2A$58.2A.
2A8.3A2.2A.2A.2A2.2A.2A.2A36.2A23.2A$76.2A.2A.2A2.2A.2A.2A2.3A31.2A
23.2A$71.5A8.2A.A.A3.A.A.2A$71.2A.2A8.3A2.2A.2A.2A2.2A.2A$89.2A.2A.
2A2.2A.2A$84.5A8.2A.A.A$84.2A.2A8.3A2.2A$102.2A$97.5A$97.2A.2A!
The rule has oscillators of every period greater than 2. The first 15 of these:
Code: Select all
x = 92, y = 39, rule = B3/S345/3
7.BA15.BA15.BA3.BA17.BA19.BA$7.2A15.2A14.2A.2A.2A17.2A16.2A.2A$5.A.
2AB14.2A14.2A.2A.2A17.2A16.2A.2A$4.B2A.A15.AB14.AB3.AB16.2A18.AB$5.
2A56.2A$5.AB56.AB8$5.BA17.BA20.BA12.BA22.BA$5.2A14.2A.2A14.2A.2A.2A
12.2A22.2A$5.2A14.2A.2A14.2A.2A.2A12.2A22.2A$23.AB.2A12.AB20.2A.2A19.
2A$26.2A34.2A.2A19.2A$67.2A$67.2A$67.AB5$9.BA13.BA11.BA21.BA15.BA$2A
.2A.2A.2A10.2A.2A11.2A21.2A15.2A$2A.2A.2A.2A10.2A.2A11.2A21.2A15.2A
$AB37.2A21.2A15.2A$39.2A21.2A15.2A$41.2A.2A18.2A15.2A.2A$41.2A.2A18.
2A15.2A.2A$46.2A38.2A$46.2A38.2A$48.2A38.2A$48.2A38.2A$48.AB40.2A$90.
2A$90.AB!
A replicator and oscillator:
Code: Select all
x = 3, y = 4, rule = B3/S345/3
.B$3A$3A$.B!
Code: Select all
x = 31, y = 31, rule = B3/S345/3
5.AB.BA3.AB.BA$5.2A.2A3.2A.2A$5.2A.2A3.2A.2A$5.AB.BA3.AB.BA2$4A$B2A
B2$B2AB$4A4$4A23.4A$B2AB23.B2AB2$B2AB23.B2AB$4A23.4A4$27.4A$27.B2AB
2$27.B2AB$27.4A2$13.AB.BA3.AB.BA$13.2A.2A3.2A.2A$13.2A.2A3.2A.2A$13.
AB.BA3.AB.BA!
Ships:
Code: Select all
x = 5, y = 39, rule = B3/S345/3
2.2A$B.B2A$.3A$.B13$.B$.3A$2.B2A$.3A$.B13$.B$.3A$2.B2A$2.B2A$.3A$.B!
Still life patterns:
Code: Select all
x = 143, y = 12, rule = B3/S345/3
2A19.2A.2A20.2A.2A22.2A.2A26.2A.2A27.2A$2A19.2A.2A19.A.3A.A21.5A25.
A.3A.A.2A23.2A$22.A.A20.2A.A.2A19.2A30.2A.A.2A.2A21.2A2.2A$21.2A.2A
20.2A.2A20.2A2.3A22.2A.2A.A.2A23.A.A2.A.A$21.2A.2A19.2A.A.2A20.A.A.
2A22.2A.A.3A.A23.2A.2A.2A$45.A.3A.A19.2A.2A2.2A.2A21.2A.2A22.2A2.A2.
A2.2A$46.2A.2A20.2A.2A2.2A.2A48.2A2.A2.A2.2A$76.2A.A.A51.2A.2A.2A$76.
3A2.2A50.A.A2.A.A$81.2A51.2A2.2A$76.5A55.2A$76.2A.2A55.2A!
With this minor change,
- R.png (103.36 KiB) Viewed 1419 times
The rule is omniperiodic.
The first 18 oscillators:
Code: Select all
#Rule = Rule Table
#States = 3
#Counts = 9
#SW 0,1,0
#NW 0,0,0,0,0
#NW 0,1,1,1,0
#NW 0,1,0,1,0
#NW 0,1,1,1,0
#NW 0,0,0,0,0
#RT 0,0,0,1,0,0,0,0,0
#RT 2,2,2,1,1,1,2,2,2
#RT 1,0,0,0,0,0,0,0,0
#Rows = 39
#Columns = 112
#L 4.A18.BA15.BA16.BA3.BA16.BA19.BA$23.2A15.2A15.2A.2A.2A16.2A16.2A.2A
#L $21.A.2AB14.2A15.2A.2A.2A16.2A16.2A.2A$20.B2A.A15.AB15.AB3.AB15.2A18.
#L AB$21.2A56.2A$21.AB56.AB7$3.BA17.BA20.BA13.BA20.BA23.BA$3.2A14.2A.2A
#L 14.2A.2A.2A13.2A20.2A14.2A.2A.2A.2A$3.2A14.2A.2A14.2A.2A.2A13.2A20.
#L 2A14.2A.2A.2A.2A$21.AB.2A12.AB21.2A.2A17.2A12.AB$24.2A35.2A.2A17.2A
#L $66.2A$66.2A$66.AB6$3.BA10.BA22.BA13.BA22.BA30.BA$2A.2A10.2A22.2A13.
#L 2A22.2A15.2A.2A.2A.2A.2A.2A$2A.2A10.2A22.2A13.2A22.2A15.2A.2A.2A.2A
#L .2A.2A$17.2A22.2A13.2A22.2A.2A10.AB$17.2A22.2A13.2A22.2A.2A$19.2A.2A
#L 19.2A13.2A.2A$19.2A.2A19.2A13.2A.2A$24.2A37.2A$24.2A37.2A$26.2A37.2A
#L $26.2A37.2A$26.AB39.2A$67.2A$67.AB
See also this related thread:
https://www.conwaylife.com/forums/viewt ... 045#p49184
Brian Prentice