## Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.

### Re: Miscellaneous Discoveries in Other Cellular Automata

I believe I have found a rule in which a dot replicates fivefold:

`x = 1, y = 1, rule = W2456379798o!`

http://m.wolframalpha.com/input/?i=rule+2456379798

This only seems to work with a single dot though, so can someone work out a way to make any pattern replicate as with W90 and W150?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3300
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Miscellaneous Discoveries in Other Cellular Automata

Bit more research turns up a whole series.

0-fold replication:
`x = 1, y = 1, rule = W128o!`

1-fold:
`x = 1, y = 65, rule = W4o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o!`

2:
`x = 129, y = 65, rule = W9064bo\$63bobo\$62bo3bo\$61bobobobo\$60bo7bo\$59bobo5bobo\$58bo3bo3bo3bo\$57bobobobobobobobo\$56bo15bo\$55bobo13bobo\$54bo3bo11bo3bo\$53bobobobo9bobobobo\$52bo7bo7bo7bo\$51bobo5bobo5bobo5bobo\$50bo3bo3bo3bo3bo3bo3bo3bo\$49bobobobobobobobobobobobobobobobo\$48bo31bo\$47bobo29bobo\$46bo3bo27bo3bo\$45bobobobo25bobobobo\$44bo7bo23bo7bo\$43bobo5bobo21bobo5bobo\$42bo3bo3bo3bo19bo3bo3bo3bo\$41bobobobobobobobo17bobobobobobobobo\$40bo15bo15bo15bo\$39bobo13bobo13bobo13bobo\$38bo3bo11bo3bo11bo3bo11bo3bo\$37bobobobo9bobobobo9bobobobo9bobobobo\$36bo7bo7bo7bo7bo7bo7bo7bo\$35bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo\$34bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo\$33bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo\$32bo63bo\$31bobo61bobo\$30bo3bo59bo3bo\$29bobobobo57bobobobo\$28bo7bo55bo7bo\$27bobo5bobo53bobo5bobo\$26bo3bo3bo3bo51bo3bo3bo3bo\$25bobobobobobobobo49bobobobobobobobo\$24bo15bo47bo15bo\$23bobo13bobo45bobo13bobo\$22bo3bo11bo3bo43bo3bo11bo3bo\$21bobobobo9bobobobo41bobobobo9bobobobo\$20bo7bo7bo7bo39bo7bo7bo7bo\$19bobo5bobo5bobo5bobo37bobo5bobo5bobo5bobo\$18bo3bo3bo3bo3bo3bo3bo3bo35bo3bo3bo3bo3bo3bo3bo3bo\$17bobobobobobobobobobobobobobobobo33bobobobobobobobobobobobobobobobo\$16bo31bo31bo31bo\$15bobo29bobo29bobo29bobo\$14bo3bo27bo3bo27bo3bo27bo3bo\$13bobobobo25bobobobo25bobobobo25bobobobo\$12bo7bo23bo7bo23bo7bo23bo7bo\$11bobo5bobo21bobo5bobo21bobo5bobo21bobo5bobo\$10bo3bo3bo3bo19bo3bo3bo3bo19bo3bo3bo3bo19bo3bo3bo3bo\$9bobobobobobobobo17bobobobobobobobo17bobobobobobobobo17bobobobobobobobo\$8bo15bo15bo15bo15bo15bo15bo15bo\$7bobo13bobo13bobo13bobo13bobo13bobo13bobo13bobo\$6bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo3bo11bo3bo\$5bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo\$4bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo\$3bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo\$2bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo\$bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo\$o127bo!`

3:
`x = 129, y = 65, rule = W15064bo\$63b3o\$62bobobo\$61b2obob2o\$60bo3bo3bo\$59b3ob3ob3o\$58bobo3bo3bobo\$57b2ob2ob3ob2ob2o\$56bo7bo7bo\$55b3o5b3o5b3o\$54bobobo3bobobo3bobobo\$53b2obob2ob2obob2ob2obob2o\$52bo3bo7bo7bo3bo\$51b3ob3o5b3o5b3ob3o\$50bobo3bobo3bobobo3bobo3bobo\$49b2ob2ob2ob2ob2obob2ob2ob2ob2ob2o\$48bo15bo15bo\$47b3o13b3o13b3o\$46bobobo11bobobo11bobobo\$45b2obob2o9b2obob2o9b2obob2o\$44bo3bo3bo7bo3bo3bo7bo3bo3bo\$43b3ob3ob3o5b3ob3ob3o5b3ob3ob3o\$42bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo\$41b2ob2ob3ob2ob2ob2ob2ob3ob2ob2ob2ob2ob3ob2ob2o\$40bo7bo15bo15bo7bo\$39b3o5b3o13b3o13b3o5b3o\$38bobobo3bobobo11bobobo11bobobo3bobobo\$37b2obob2ob2obob2o9b2obob2o9b2obob2ob2obob2o\$36bo3bo7bo3bo7bo3bo3bo7bo3bo7bo3bo\$35b3ob3o5b3ob3o5b3ob3ob3o5b3ob3o5b3ob3o\$34bobo3bobo3bobo3bobo3bobo3bo3bobo3bobo3bobo3bobo3bobo\$33b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob3ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o\$32bo31bo31bo\$31b3o29b3o29b3o\$30bobobo27bobobo27bobobo\$29b2obob2o25b2obob2o25b2obob2o\$28bo3bo3bo23bo3bo3bo23bo3bo3bo\$27b3ob3ob3o21b3ob3ob3o21b3ob3ob3o\$26bobo3bo3bobo19bobo3bo3bobo19bobo3bo3bobo\$25b2ob2ob3ob2ob2o17b2ob2ob3ob2ob2o17b2ob2ob3ob2ob2o\$24bo7bo7bo15bo7bo7bo15bo7bo7bo\$23b3o5b3o5b3o13b3o5b3o5b3o13b3o5b3o5b3o\$22bobobo3bobobo3bobobo11bobobo3bobobo3bobobo11bobobo3bobobo3bobobo\$21b2obob2ob2obob2ob2obob2o9b2obob2ob2obob2ob2obob2o9b2obob2ob2obob2ob2obob2o\$20bo3bo7bo7bo3bo7bo3bo7bo7bo3bo7bo3bo7bo7bo3bo\$19b3ob3o5b3o5b3ob3o5b3ob3o5b3o5b3ob3o5b3ob3o5b3o5b3ob3o\$18bobo3bobo3bobobo3bobo3bobo3bobo3bobo3bobobo3bobo3bobo3bobo3bobo3bobobo3bobo3bobo\$17b2ob2ob2ob2ob2obob2ob2ob2ob2ob2ob2ob2ob2ob2ob2obob2ob2ob2ob2ob2ob2ob2ob2ob2ob2obob2ob2ob2ob2ob2o\$16bo15bo31bo31bo15bo\$15b3o13b3o29b3o29b3o13b3o\$14bobobo11bobobo27bobobo27bobobo11bobobo\$13b2obob2o9b2obob2o25b2obob2o25b2obob2o9b2obob2o\$12bo3bo3bo7bo3bo3bo23bo3bo3bo23bo3bo3bo7bo3bo3bo\$11b3ob3ob3o5b3ob3ob3o21b3ob3ob3o21b3ob3ob3o5b3ob3ob3o\$10bobo3bo3bobo3bobo3bo3bobo19bobo3bo3bobo19bobo3bo3bobo3bobo3bo3bobo\$9b2ob2ob3ob2ob2ob2ob2ob3ob2ob2o17b2ob2ob3ob2ob2o17b2ob2ob3ob2ob2ob2ob2ob3ob2ob2o\$8bo7bo15bo7bo15bo7bo7bo15bo7bo15bo7bo\$7b3o5b3o13b3o5b3o13b3o5b3o5b3o13b3o5b3o13b3o5b3o\$6bobobo3bobobo11bobobo3bobobo11bobobo3bobobo3bobobo11bobobo3bobobo11bobobo3bobobo\$5b2obob2ob2obob2o9b2obob2ob2obob2o9b2obob2ob2obob2ob2obob2o9b2obob2ob2obob2o9b2obob2ob2obob2o\$4bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo\$3b3ob3o5b3ob3o5b3ob3o5b3ob3o5b3ob3o5b3o5b3ob3o5b3ob3o5b3ob3o5b3ob3o5b3ob3o\$2bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo\$b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2obob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o\$o63bo63bo!`

4:
`x = 257, y = 65, rule = W1721342310128bo\$126b2ob2o\$124bobo3bobo\$122b3ob2ob2ob3o\$120bo3bo7bo3bo\$118b2obobob2o3b2obobob2o\$116bobobo3bobo3bobo3bobobo\$114b3o3b2ob2ob2ob2ob2ob2o3b3o\$112bo7bo15bo7bo\$110b2ob2o3b2ob2o11b2ob2o3b2ob2o\$108bobo3bo3bo3bobo7bobo3bo3bo3bobo\$106b3ob2obobobobob2ob3o3b3ob2obobobobob2ob3o\$104bo3bo3bo7bo3bo7bo3bo7bo3bo3bo\$102b2obobobobob2o3b2obobob2o3b2obobob2o3b2obobobobob2o\$100bobobo7bobo3bobo3bobo3bobo3bobo3bobo7bobobo\$98b3o3b3o3b3ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob3o3b3o3b3o\$96bo15bo31bo15bo\$94b2ob2o11b2ob2o27b2ob2o11b2ob2o\$92bobo3bobo7bobo3bobo23bobo3bobo7bobo3bobo\$90b3ob2ob2ob3o3b3ob2ob2ob3o19b3ob2ob2ob3o3b3ob2ob2ob3o\$88bo3bo7bo7bo7bo3bo15bo3bo7bo7bo7bo3bo\$86b2obobob2o3b2ob2o3b2ob2o3b2obobob2o11b2obobob2o3b2ob2o3b2ob2o3b2obobob2o\$84bobobo3bobo3bo3bo3bo3bo3bobo3bobobo7bobobo3bobo3bo3bo3bo3bo3bobo3bobobo\$82b3o3b2ob2ob2obobobobobobobobob2ob2ob2o3b3o3b3o3b2ob2ob2obobobobobobobobob2ob2ob2o3b3o\$80bo7bo7bo15bo7bo15bo7bo15bo7bo7bo\$78b2ob2o3b2ob2o3b2ob2o11b2ob2o3b2ob2o11b2ob2o3b2ob2o11b2ob2o3b2ob2o3b2ob2o\$76bobo3bo3bo3bo3bo3bobo7bobo3bo3bo3bobo7bobo3bo3bo3bobo7bobo3bo3bo3bo3bo3bobo\$74b3ob2obobobobobobobobob2ob3o3b3ob2obobobobob2ob3o3b3ob2obobobobob2ob3o3b3ob2obobobobobobobobob2ob3o\$72bo3bo3bo15bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo15bo3bo3bo\$70b2obobobobob2o11b2obobob2o3b2obobob2o3b2obobob2o3b2obobob2o3b2obobob2o3b2obobob2o11b2obobobobob2o\$68bobobo7bobobo7bobobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobobo7bobobo7bobobo\$66b3o3b3o3b3o3b3o3b3o3b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o3b3o3b3o3b3o3b3o3b3o\$64bo31bo63bo31bo\$62b2ob2o27b2ob2o59b2ob2o27b2ob2o\$60bobo3bobo23bobo3bobo55bobo3bobo23bobo3bobo\$58b3ob2ob2ob3o19b3ob2ob2ob3o51b3ob2ob2ob3o19b3ob2ob2ob3o\$56bo3bo7bo3bo15bo3bo7bo3bo47bo3bo7bo3bo15bo3bo7bo3bo\$54b2obobob2o3b2obobob2o11b2obobob2o3b2obobob2o43b2obobob2o3b2obobob2o11b2obobob2o3b2obobob2o\$52bobobo3bobo3bobo3bobobo7bobobo3bobo3bobo3bobobo39bobobo3bobo3bobo3bobobo7bobobo3bobo3bobo3bobobo\$50b3o3b2ob2ob2ob2ob2ob2o3b3o3b3o3b2ob2ob2ob2ob2ob2o3b3o35b3o3b2ob2ob2ob2ob2ob2o3b3o3b3o3b2ob2ob2ob2ob2ob2o3b3o\$48bo7bo15bo15bo15bo7bo31bo7bo15bo15bo15bo7bo\$46b2ob2o3b2ob2o11b2ob2o11b2ob2o11b2ob2o3b2ob2o27b2ob2o3b2ob2o11b2ob2o11b2ob2o11b2ob2o3b2ob2o\$44bobo3bo3bo3bobo7bobo3bobo7bobo3bobo7bobo3bo3bo3bobo23bobo3bo3bo3bobo7bobo3bobo7bobo3bobo7bobo3bo3bo3bobo\$42b3ob2obobobobob2ob3o3b3ob2ob2ob3o3b3ob2ob2ob3o3b3ob2obobobobob2ob3o19b3ob2obobobobob2ob3o3b3ob2ob2ob3o3b3ob2ob2ob3o3b3ob2obobobobob2ob3o\$40bo3bo3bo7bo3bo7bo7bo7bo7bo7bo3bo7bo3bo3bo15bo3bo3bo7bo3bo7bo7bo7bo7bo7bo3bo7bo3bo3bo\$38b2obobobobob2o3b2obobob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2obobob2o3b2obobobobob2o11b2obobobobob2o3b2obobob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2obobob2o3b2obobobobob2o\$36bobobo7bobo3bobo3bobo3bo3bo3bo3bo3bo3bo3bo3bo3bobo3bobo3bobo7bobobo7bobobo7bobo3bobo3bobo3bo3bo3bo3bo3bo3bo3bo3bo3bobo3bobo3bobo7bobobo\$34b3o3b3o3b3ob2ob2ob2ob2ob2obobobobobobobobobobobobobobobobob2ob2ob2ob2ob2ob3o3b3o3b3o3b3o3b3o3b3ob2ob2ob2ob2ob2obobobobobobobobobobobobobobobobob2ob2ob2ob2ob2ob3o3b3o3b3o\$32bo15bo15bo31bo15bo31bo15bo31bo15bo15bo\$30b2ob2o11b2ob2o11b2ob2o27b2ob2o11b2ob2o27b2ob2o11b2ob2o27b2ob2o11b2ob2o11b2ob2o\$28bobo3bobo7bobo3bobo7bobo3bobo23bobo3bobo7bobo3bobo23bobo3bobo7bobo3bobo23bobo3bobo7bobo3bobo7bobo3bobo\$26b3ob2ob2ob3o3b3ob2ob2ob3o3b3ob2ob2ob3o19b3ob2ob2ob3o3b3ob2ob2ob3o19b3ob2ob2ob3o3b3ob2ob2ob3o19b3ob2ob2ob3o3b3ob2ob2ob3o3b3ob2ob2ob3o\$24bo3bo7bo7bo7bo7bo7bo3bo15bo3bo7bo7bo7bo3bo15bo3bo7bo7bo7bo3bo15bo3bo7bo7bo7bo7bo7bo3bo\$22b2obobob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2obobob2o11b2obobob2o3b2ob2o3b2ob2o3b2obobob2o11b2obobob2o3b2ob2o3b2ob2o3b2obobob2o11b2obobob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2obobob2o\$20bobobo3bobo3bo3bo3bo3bo3bo3bo3bo3bo3bobo3bobobo7bobobo3bobo3bo3bo3bo3bo3bobo3bobobo7bobobo3bobo3bo3bo3bo3bo3bobo3bobobo7bobobo3bobo3bo3bo3bo3bo3bo3bo3bo3bo3bobo3bobobo\$18b3o3b2ob2ob2obobobobobobobobobobobobobobobobob2ob2ob2o3b3o3b3o3b2ob2ob2obobobobobobobobob2ob2ob2o3b3o3b3o3b2ob2ob2obobobobobobobobob2ob2ob2o3b3o3b3o3b2ob2ob2obobobobobobobobobobobobobobobobob2ob2ob2o3b3o\$16bo7bo7bo31bo7bo15bo7bo15bo7bo15bo7bo15bo7bo15bo7bo31bo7bo7bo\$14b2ob2o3b2ob2o3b2ob2o27b2ob2o3b2ob2o11b2ob2o3b2ob2o11b2ob2o3b2ob2o11b2ob2o3b2ob2o11b2ob2o3b2ob2o11b2ob2o3b2ob2o27b2ob2o3b2ob2o3b2ob2o\$12bobo3bo3bo3bo3bo3bobo23bobo3bo3bo3bobo7bobo3bo3bo3bobo7bobo3bo3bo3bobo7bobo3bo3bo3bobo7bobo3bo3bo3bobo7bobo3bo3bo3bobo23bobo3bo3bo3bo3bo3bobo\$10b3ob2obobobobobobobobob2ob3o19b3ob2obobobobob2ob3o3b3ob2obobobobob2ob3o3b3ob2obobobobob2ob3o3b3ob2obobobobob2ob3o3b3ob2obobobobob2ob3o3b3ob2obobobobob2ob3o19b3ob2obobobobobobobobob2ob3o\$8bo3bo3bo15bo3bo3bo15bo3bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo3bo15bo3bo3bo15bo3bo3bo\$6b2obobobobob2o11b2obobobobob2o11b2obobobobob2o3b2obobob2o3b2obobob2o3b2obobob2o3b2obobob2o3b2obobob2o3b2obobob2o3b2obobob2o3b2obobob2o3b2obobob2o3b2obobob2o3b2obobobobob2o11b2obobobobob2o11b2obobobobob2o\$4bobobo7bobobo7bobobo7bobobo7bobobo7bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo7bobobo7bobobo7bobobo7bobobo7bobobo\$2b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o\$o63bo127bo63bo!`

5:
`x = 257, y = 65, rule = W2523490710128bo\$126b5o\$124bobobobobo\$122b2o2bobobo2b2o\$120bo3bo3bo3bo3bo\$118b4ob3ob3ob3ob4o\$116bobo5bo3bo3bo5bobo\$114b2o3b2ob4ob3ob4ob2o3b2o\$112bo7bo7bo7bo7bo\$110b5o3b5o3b5o3b5o3b5o\$108bobobobo3bobobo3bobobo3bobobo3bobobobo\$106b2o2bobo2bobo2bo2bobo2bo2bobo2bo2bobo2bobo2b2o\$104bo3bo11bo7bo7bo11bo3bo\$102b4ob4o7b5o3b5o3b5o7b4ob4o\$100bobo7bobo3bobobobo3bobobo3bobobobo3bobo7bobo\$98b2o3b2o3b2o3bobo2bobo2bobo2bo2bobo2bobo2bobo3b2o3b2o3b2o\$96bo15bo15bo15bo15bo\$94b5o11b5o11b5o11b5o11b5o\$92bobobobobo7bobobobobo7bobobobobo7bobobobobo7bobobobobo\$90b2o2bobobo2b2o3b2o2bobobo2b2o3b2o2bobobo2b2o3b2o2bobobo2b2o3b2o2bobobo2b2o\$88bo3bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo3bo\$86b4ob3ob3ob4o3b4ob3ob4o3b4ob3ob4o3b4ob3ob4o3b4ob3ob3ob4o\$84bobo5bo3bo5bo3bo5bo5bo3bo5bo5bo3bo5bo5bo3bo5bo3bo5bobo\$82b2o3b2ob4ob4ob4ob4ob5ob4ob4ob5ob4ob4ob5ob4ob4ob4ob4ob2o3b2o\$80bo7bo23bo15bo15bo23bo7bo\$78b5o3b5o19b5o11b5o11b5o19b5o3b5o\$76bobobobo3bobobobo15bobobobobo7bobobobobo7bobobobobo15bobobobo3bobobobo\$74b2o2bobo2bobo2bobo2b2o11b2o2bobobo2b2o3b2o2bobobo2b2o3b2o2bobobo2b2o11b2o2bobo2bobo2bobo2b2o\$72bo3bo15bo3bo7bo3bo3bo3bo7bo3bo3bo7bo3bo3bo3bo7bo3bo15bo3bo\$70b4ob4o11b4ob4o3b4ob3ob3ob4o3b4ob3ob4o3b4ob3ob3ob4o3b4ob4o11b4ob4o\$68bobo7bobo7bobo7bo3bo5bo3bo5bo3bo5bo5bo3bo5bo3bo5bo3bo7bobo7bobo7bobo\$66b2o3b2o3b2o3b2o3b2o3b2o3b4ob4ob4ob4ob4ob4ob5ob4ob4ob4ob4ob4ob4o3b2o3b2o3b2o3b2o3b2o3b2o\$64bo31bo31bo31bo31bo\$62b5o27b5o27b5o27b5o27b5o\$60bobobobobo23bobobobobo23bobobobobo23bobobobobo23bobobobobo\$58b2o2bobobo2b2o19b2o2bobobo2b2o19b2o2bobobo2b2o19b2o2bobobo2b2o19b2o2bobobo2b2o\$56bo3bo3bo3bo3bo15bo3bo3bo3bo3bo15bo3bo3bo3bo3bo15bo3bo3bo3bo3bo15bo3bo3bo3bo3bo\$54b4ob3ob3ob3ob4o11b4ob3ob3ob3ob4o11b4ob3ob3ob3ob4o11b4ob3ob3ob3ob4o11b4ob3ob3ob3ob4o\$52bobo5bo3bo3bo5bobo7bobo5bo3bo3bo5bobo7bobo5bo3bo3bo5bobo7bobo5bo3bo3bo5bobo7bobo5bo3bo3bo5bobo\$50b2o3b2ob4ob3ob4ob2o3b2o3b2o3b2ob4ob3ob4ob2o3b2o3b2o3b2ob4ob3ob4ob2o3b2o3b2o3b2ob4ob3ob4ob2o3b2o3b2o3b2ob4ob3ob4ob2o3b2o\$48bo7bo7bo7bo15bo7bo7bo15bo7bo7bo15bo7bo7bo15bo7bo7bo7bo\$46b5o3b5o3b5o3b5o11b5o3b5o3b5o11b5o3b5o3b5o11b5o3b5o3b5o11b5o3b5o3b5o3b5o\$44bobobobo3bobobo3bobobo3bobobobo7bobobobo3bobobo3bobobobo7bobobobo3bobobo3bobobobo7bobobobo3bobobo3bobobobo7bobobobo3bobobo3bobobo3bobobobo\$42b2o2bobo2bobo2bo2bobo2bo2bobo2bobo2b2o3b2o2bobo2bobo2bo2bobo2bobo2b2o3b2o2bobo2bobo2bo2bobo2bobo2b2o3b2o2bobo2bobo2bo2bobo2bobo2b2o3b2o2bobo2bobo2bo2bobo2bo2bobo2bobo2b2o\$40bo3bo11bo7bo11bo7bo11bo11bo7bo11bo11bo7bo11bo11bo7bo11bo7bo11bo3bo\$38b4ob4o7b5o3b5o7b5o3b5o7b5o7b5o3b5o7b5o7b5o3b5o7b5o7b5o3b5o7b5o3b5o7b4ob4o\$36bobo7bobo3bobobobo3bobobobo3bobobobo3bobobobo3bobobobobo3bobobobo3bobobobo3bobobobobo3bobobobo3bobobobo3bobobobobo3bobobobo3bobobobo3bobobobo3bobobobo3bobo7bobo\$34b2o3b2o3b2o3bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobobo2bobo2bobo2bobo2bobo2bobo2bobobo2bobo2bobo2bobo2bobo2bobo2bobobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo3b2o3b2o3b2o\$32bo15bo47bo31bo31bo47bo15bo\$30b5o11b5o43b5o27b5o27b5o43b5o11b5o\$28bobobobobo7bobobobobo39bobobobobo23bobobobobo23bobobobobo39bobobobobo7bobobobobo\$26b2o2bobobo2b2o3b2o2bobobo2b2o35b2o2bobobo2b2o19b2o2bobobo2b2o19b2o2bobobo2b2o35b2o2bobobo2b2o3b2o2bobobo2b2o\$24bo3bo3bo3bo7bo3bo3bo3bo31bo3bo3bo3bo3bo15bo3bo3bo3bo3bo15bo3bo3bo3bo3bo31bo3bo3bo3bo7bo3bo3bo3bo\$22b4ob3ob3ob4o3b4ob3ob3ob4o27b4ob3ob3ob3ob4o11b4ob3ob3ob3ob4o11b4ob3ob3ob3ob4o27b4ob3ob3ob4o3b4ob3ob3ob4o\$20bobo5bo3bo5bo3bo5bo3bo5bobo23bobo5bo3bo3bo5bobo7bobo5bo3bo3bo5bobo7bobo5bo3bo3bo5bobo23bobo5bo3bo5bo3bo5bo3bo5bobo\$18b2o3b2ob4ob4ob4ob4ob4ob4ob2o3b2o19b2o3b2ob4ob3ob4ob2o3b2o3b2o3b2ob4ob3ob4ob2o3b2o3b2o3b2ob4ob3ob4ob2o3b2o19b2o3b2ob4ob4ob4ob4ob4ob4ob2o3b2o\$16bo7bo31bo7bo15bo7bo7bo7bo15bo7bo7bo15bo7bo7bo7bo15bo7bo31bo7bo\$14b5o3b5o27b5o3b5o11b5o3b5o3b5o3b5o11b5o3b5o3b5o11b5o3b5o3b5o3b5o11b5o3b5o27b5o3b5o\$12bobobobo3bobobobo23bobobobo3bobobobo7bobobobo3bobobo3bobobo3bobobobo7bobobobo3bobobo3bobobobo7bobobobo3bobobo3bobobo3bobobobo7bobobobo3bobobobo23bobobobo3bobobobo\$10b2o2bobo2bobo2bobo2b2o19b2o2bobo2bobo2bobo2b2o3b2o2bobo2bobo2bo2bobo2bo2bobo2bobo2b2o3b2o2bobo2bobo2bo2bobo2bobo2b2o3b2o2bobo2bobo2bo2bobo2bo2bobo2bobo2b2o3b2o2bobo2bobo2bobo2b2o19b2o2bobo2bobo2bobo2b2o\$8bo3bo15bo3bo15bo3bo15bo7bo11bo7bo11bo7bo11bo11bo7bo11bo7bo11bo7bo15bo3bo15bo3bo15bo3bo\$6b4ob4o11b4ob4o11b4ob4o11b5o3b5o7b5o3b5o7b5o3b5o7b5o7b5o3b5o7b5o3b5o7b5o3b5o11b4ob4o11b4ob4o11b4ob4o\$4bobo7bobo7bobo7bobo7bobo7bobo7bobobobo3bobobobo3bobobobo3bobobobo3bobobobo3bobobobo3bobobobobo3bobobobo3bobobobo3bobobobo3bobobobo3bobobobo3bobobobo7bobo7bobo7bobo7bobo7bobo7bobo\$2b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o\$o63bo63bo63bo63bo!`

6:
`x = 385, y = 65, rule = W140117185019831836588493434554119984790192bo\$189b3ob3o\$186bobobo3bobobo\$183b2ob2ob3ob3ob2ob2o\$180bo3bo3bo7bo3bo3bo\$177b3o9b3ob3o9b3o\$174bobo3bobo3bobobo3bobobo3bobo3bobo\$171b2obob2ob2ob2ob3ob3ob3ob3ob2ob2ob2obob2o\$168bo7bo7bo15bo7bo7bo\$165b3ob3ob3ob3ob3ob3o9b3ob3ob3ob3ob3ob3o\$162bobobo19bobobo3bobobo19bobobo\$159b2ob2ob2ob2o13b2ob2ob3ob3ob2ob2o13b2ob2ob2ob2o\$156bo3bo7bo3bo7bo3bo3bo7bo3bo3bo7bo3bo7bo3bo\$153b3o5b3ob3o5b3ob3o9b3ob3o9b3ob3o5b3ob3o5b3o\$150bobo3bo3bobo3bobo3bobo3bobobo3bobobo3bobobo3bobobo3bobo3bobo3bobo3bo3bobo\$147b2obob2o5b2ob2ob2ob2ob2ob2ob3ob3ob3ob3ob3ob3ob3ob3ob2ob2ob2ob2ob2ob2o5b2obob2o\$144bo15bo15bo31bo15bo15bo\$141b3ob3o9b3ob3o9b3ob3o25b3ob3o9b3ob3o9b3ob3o\$138bobobo3bobobo3bobobo3bobobo3bobobo3bobobo19bobobo3bobobo3bobobo3bobobo3bobobo3bobobo\$135b2ob2ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob2ob2o13b2ob2ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob2ob2o\$132bo3bo3bo39bo3bo3bo7bo3bo3bo39bo3bo3bo\$129b3o9b3o33b3o9b3ob3o9b3o33b3o9b3o\$126bobo3bobo3bobo3bobo27bobo3bobo3bobobo3bobobo3bobo3bobo27bobo3bobo3bobo3bobo\$123b2obob2ob2ob2ob2ob2ob2obob2o21b2obob2ob2ob2ob3ob3ob3ob3ob2ob2ob2obob2o21b2obob2ob2ob2ob2ob2ob2obob2o\$120bo7bo15bo7bo15bo7bo7bo15bo7bo7bo15bo7bo15bo7bo\$117b3ob3ob3ob3o9b3ob3ob3ob3o9b3ob3ob3ob3ob3ob3o9b3ob3ob3ob3ob3ob3o9b3ob3ob3ob3o9b3ob3ob3ob3o\$114bobobo11bobobo3bobobo11bobobo3bobobo19bobobo3bobobo19bobobo3bobobo11bobobo3bobobo11bobobo\$111b2ob2ob2ob2o5b2ob2ob3ob3ob2ob2o5b2ob2ob3ob3ob2ob2o13b2ob2ob3ob3ob2ob2o13b2ob2ob3ob3ob2ob2o5b2ob2ob3ob3ob2ob2o5b2ob2ob2ob2o\$108bo3bo7bo7bo3bo7bo3bo7bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo7bo3bo7bo3bo7bo7bo3bo\$105b3o5b3ob3ob3ob3o5b3ob3o5b3ob3o5b3ob3o9b3ob3o9b3ob3o9b3ob3o9b3ob3o5b3ob3o5b3ob3o5b3ob3ob3ob3o5b3o\$102bobo3bo3bobo11bobo3bobo3bobo3bobo3bobo3bobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobo3bobo3bobo3bobo3bobo3bobo11bobo3bo3bobo\$99b2obob2o5b2obob2o5b2obob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2obob2o5b2obob2o5b2obob2o\$96bo31bo31bo63bo31bo31bo\$93b3ob3o25b3ob3o25b3ob3o57b3ob3o25b3ob3o25b3ob3o\$90bobobo3bobobo19bobobo3bobobo19bobobo3bobobo51bobobo3bobobo19bobobo3bobobo19bobobo3bobobo\$87b2ob2ob3ob3ob2ob2o13b2ob2ob3ob3ob2ob2o13b2ob2ob3ob3ob2ob2o45b2ob2ob3ob3ob2ob2o13b2ob2ob3ob3ob2ob2o13b2ob2ob3ob3ob2ob2o\$84bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo39bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo\$81b3o9b3ob3o9b3ob3o9b3ob3o9b3ob3o9b3ob3o9b3o33b3o9b3ob3o9b3ob3o9b3ob3o9b3ob3o9b3ob3o9b3o\$78bobo3bobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobo3bobo27bobo3bobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobo3bobo\$75b2obob2ob2ob2ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob2ob2ob2obob2o21b2obob2ob2ob2ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob2ob2ob2obob2o\$72bo7bo7bo79bo7bo7bo15bo7bo7bo79bo7bo7bo\$69b3ob3ob3ob3ob3ob3o73b3ob3ob3ob3ob3ob3o9b3ob3ob3ob3ob3ob3o73b3ob3ob3ob3ob3ob3o\$66bobobo19bobobo67bobobo19bobobo3bobobo19bobobo67bobobo19bobobo\$63b2ob2ob2ob2o13b2ob2ob2ob2o61b2ob2ob2ob2o13b2ob2ob3ob3ob2ob2o13b2ob2ob2ob2o61b2ob2ob2ob2o13b2ob2ob2ob2o\$60bo3bo7bo3bo7bo3bo7bo3bo55bo3bo7bo3bo7bo3bo3bo7bo3bo3bo7bo3bo7bo3bo55bo3bo7bo3bo7bo3bo7bo3bo\$57b3o5b3ob3o5b3ob3o5b3ob3o5b3o49b3o5b3ob3o5b3ob3o9b3ob3o9b3ob3o5b3ob3o5b3o49b3o5b3ob3o5b3ob3o5b3ob3o5b3o\$54bobo3bo3bobo3bobo3bobo3bobo3bobo3bobo3bo3bobo43bobo3bo3bobo3bobo3bobo3bobobo3bobobo3bobobo3bobobo3bobo3bobo3bobo3bo3bobo43bobo3bo3bobo3bobo3bobo3bobo3bobo3bobo3bo3bobo\$51b2obob2o5b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o5b2obob2o37b2obob2o5b2ob2ob2ob2ob2ob2ob3ob3ob3ob3ob3ob3ob3ob3ob2ob2ob2ob2ob2ob2o5b2obob2o37b2obob2o5b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o5b2obob2o\$48bo15bo31bo15bo31bo15bo15bo31bo15bo15bo31bo15bo31bo15bo\$45b3ob3o9b3ob3o25b3ob3o9b3ob3o25b3ob3o9b3ob3o9b3ob3o25b3ob3o9b3ob3o9b3ob3o25b3ob3o9b3ob3o25b3ob3o9b3ob3o\$42bobobo3bobobo3bobobo3bobobo19bobobo3bobobo3bobobo3bobobo19bobobo3bobobo3bobobo3bobobo3bobobo3bobobo19bobobo3bobobo3bobobo3bobobo3bobobo3bobobo19bobobo3bobobo3bobobo3bobobo19bobobo3bobobo3bobobo3bobobo\$39b2ob2ob3ob3ob3ob3ob3ob3ob2ob2o13b2ob2ob3ob3ob3ob3ob3ob3ob2ob2o13b2ob2ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob2ob2o13b2ob2ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob2ob2o13b2ob2ob3ob3ob3ob3ob3ob3ob2ob2o13b2ob2ob3ob3ob3ob3ob3ob3ob2ob2o\$36bo3bo3bo23bo3bo3bo7bo3bo3bo23bo3bo3bo7bo3bo3bo39bo3bo3bo7bo3bo3bo39bo3bo3bo7bo3bo3bo23bo3bo3bo7bo3bo3bo23bo3bo3bo\$33b3o9b3o17b3o9b3ob3o9b3o17b3o9b3ob3o9b3o33b3o9b3ob3o9b3o33b3o9b3ob3o9b3o17b3o9b3ob3o9b3o17b3o9b3o\$30bobo3bobo3bobo3bobo11bobo3bobo3bobobo3bobobo3bobo3bobo11bobo3bobo3bobobo3bobobo3bobo3bobo27bobo3bobo3bobobo3bobobo3bobo3bobo27bobo3bobo3bobobo3bobobo3bobo3bobo11bobo3bobo3bobobo3bobobo3bobo3bobo11bobo3bobo3bobo3bobo\$27b2obob2ob2ob2ob2ob2ob2obob2o5b2obob2ob2ob2ob3ob3ob3ob3ob2ob2ob2obob2o5b2obob2ob2ob2ob3ob3ob3ob3ob2ob2ob2obob2o21b2obob2ob2ob2ob3ob3ob3ob3ob2ob2ob2obob2o21b2obob2ob2ob2ob3ob3ob3ob3ob2ob2ob2obob2o5b2obob2ob2ob2ob3ob3ob3ob3ob2ob2ob2obob2o5b2obob2ob2ob2ob2ob2ob2obob2o\$24bo7bo15bo15bo7bo15bo7bo15bo7bo15bo7bo7bo15bo7bo7bo15bo7bo7bo15bo7bo7bo15bo7bo15bo7bo15bo7bo15bo15bo7bo\$21b3ob3ob3ob3o9b3ob3o9b3ob3ob3ob3o9b3ob3ob3ob3o9b3ob3ob3ob3o9b3ob3ob3ob3ob3ob3o9b3ob3ob3ob3ob3ob3o9b3ob3ob3ob3ob3ob3o9b3ob3ob3ob3ob3ob3o9b3ob3ob3ob3o9b3ob3ob3ob3o9b3ob3ob3ob3o9b3ob3o9b3ob3ob3ob3o\$18bobobo11bobobo3bobobo3bobobo3bobobo11bobobo3bobobo11bobobo3bobobo11bobobo3bobobo19bobobo3bobobo19bobobo3bobobo19bobobo3bobobo19bobobo3bobobo11bobobo3bobobo11bobobo3bobobo11bobobo3bobobo3bobobo3bobobo11bobobo\$15b2ob2ob2ob2o5b2ob2ob3ob3ob3ob3ob3ob3ob2ob2o5b2ob2ob3ob3ob2ob2o5b2ob2ob3ob3ob2ob2o5b2ob2ob3ob3ob2ob2o13b2ob2ob3ob3ob2ob2o13b2ob2ob3ob3ob2ob2o13b2ob2ob3ob3ob2ob2o13b2ob2ob3ob3ob2ob2o5b2ob2ob3ob3ob2ob2o5b2ob2ob3ob3ob2ob2o5b2ob2ob3ob3ob3ob3ob3ob3ob2ob2o5b2ob2ob2ob2o\$12bo3bo7bo7bo3bo23bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo23bo3bo7bo7bo3bo\$9b3o5b3ob3ob3ob3o5b3o17b3o5b3ob3o5b3ob3o5b3ob3o5b3ob3o5b3ob3o5b3ob3o9b3ob3o9b3ob3o9b3ob3o9b3ob3o9b3ob3o9b3ob3o9b3ob3o9b3ob3o5b3ob3o5b3ob3o5b3ob3o5b3ob3o5b3ob3o5b3o17b3o5b3ob3ob3ob3o5b3o\$6bobo3bo3bobo11bobo3bo3bobo11bobo3bo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bo3bobo11bobo3bo3bobo11bobo3bo3bobo\$3b2obob2o5b2obob2o5b2obob2o5b2obob2o5b2obob2o5b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o5b2obob2o5b2obob2o5b2obob2o5b2obob2o5b2obob2o\$o63bo63bo127bo63bo63bo!`

7:
`x = 385, y = 65, rule = W199931532107794273605284333428918544790192bo\$189b7o\$186bobobobobobobo\$183b2o2b2obobobob2o2b2o\$180bo3bo3bo3bo3bo3bo3bo\$177b4o3bo3bo3bo3bo3bo3b4o\$174bobo5bobo3bo3bo3bo3bobo5bobo\$171b2o5bobo4bo2bo3bo3bo2bo4bobo5b2o\$168bo7bo7bo7bo7bo7bo7bo\$165b7ob7ob7ob7ob7ob7ob7o\$162bobobobo7bo7bo7bo7bo7bo7bobobobo\$159b2o2b2ob2o2b2ob7ob7ob7ob7ob7ob2o2b2ob2o2b2o\$156bo3bo11bo3bo7bo7bo7bo7bo3bo11bo3bo\$153b4o3b4o5b4o3b4ob7ob7ob7ob4o3b4o5b4o3b4o\$150bobo11bo3bo9bo5bo7bo7bo5bo9bo3bo11bobo\$147b2o5b2o5b4o3b4o3b6ob6ob7ob6ob6o3b4o3b4o5b2o5b2o\$144bo15bo15bo15bo15bo15bo15bo\$141b7o9b7o9b7o9b7o9b7o9b7o9b7o\$138bobobobobobobo3bobobobobobobo3bobobobobobobo3bobobobobobobo3bobobobobobobo3bobobobobobobo3bobobobobobobo\$135b2o2b2obobobob2obobob2obobobob2obobob2obobobob2obobob2obobobob2obobob2obobobob2obobob2obobobob2obobob2obobobob2o2b2o\$132bo3bo3bo3bo15bo15bo15bo15bo15bo15bo3bo3bo3bo\$129b4o3bo3bo3b4o9b7o9b7o9b7o9b7o9b7o9b4o3bo3bo3b4o\$126bobo5bobo3bobo5bobo3bobobobobobobo3bobobobobobobo3bobobobobobobo3bobobobobobobo3bobobobobobobo3bobo5bobo3bobo5bobo\$123b2o5bobo4bobo4bobo4bobob2obobobob2obobob2obobobob2obobob2obobobob2obobob2obobobob2obobob2obobobob2obobo4bobo4bobo4bobo5b2o\$120bo7bo23bo7bo15bo15bo15bo15bo7bo23bo7bo\$117b7ob7o17b7ob7o9b7o9b7o9b7o9b7ob7o17b7ob7o\$114bobobobo7bobobobo11bobobobo7bobobobo3bobobobobobobo3bobobobobobobo3bobobobobobobo3bobobobo7bobobobo11bobobobo7bobobobo\$111b2o2b2ob2o2b2ob2o2b2ob2o2b2o5b2o2b2ob2o2b2ob2o2b2ob2obobob2obobobob2obobob2obobobob2obobob2obobobob2obobob2ob2o2b2ob2o2b2ob2o2b2o5b2o2b2ob2o2b2ob2o2b2ob2o2b2o\$108bo3bo23bo7bo19bo11bo15bo15bo11bo19bo7bo23bo3bo\$105b4o3b4o17b7ob7o13b7o5b7o9b7o9b7o5b7o13b7ob7o17b4o3b4o\$102bobo11bobo11bobobobo7bobobobo7bobobobobobo3bobobobobobo3bobobobobobobo3bobobobobobo3bobobobobobo7bobobobo7bobobobo11bobo11bobo\$99b2o5b2o5b2o5b2o5b2o2b2ob2o2b2ob2o2b2ob2o2b2ob2o2b2obobob2obobob2obobob2obobob2obobobob2obobob2obobob2obobob2obobob2o2b2ob2o2b2ob2o2b2ob2o2b2ob2o2b2o5b2o5b2o5b2o5b2o\$96bo31bo31bo31bo31bo31bo31bo\$93b7o25b7o25b7o25b7o25b7o25b7o25b7o\$90bobobobobobobo19bobobobobobobo19bobobobobobobo19bobobobobobobo19bobobobobobobo19bobobobobobobo19bobobobobobobo\$87b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o\$84bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo\$81b4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4o\$78bobo5bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo5bobo\$75b2o5bobo4bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo4bobo5b2o\$72bo7bo7bo7bo31bo31bo31bo31bo31bo31bo7bo7bo7bo\$69b7ob7ob7ob7o25b7o25b7o25b7o25b7o25b7o25b7ob7ob7ob7o\$66bobobobo7bo7bo7bobobobo19bobobobobobobo19bobobobobobobo19bobobobobobobo19bobobobobobobo19bobobobobobobo19bobobobo7bo7bo7bobobobo\$63b2o2b2ob2o2b2ob7ob7ob2o2b2ob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2ob2o2b2ob7ob7ob2o2b2ob2o2b2o\$60bo3bo11bo3bo7bo3bo11bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo11bo3bo7bo3bo11bo3bo\$57b4o3b4o5b4o3b4ob4o3b4o5b4o3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3b4o5b4o3b4ob4o3b4o5b4o3b4o\$54bobo11bo3bo9bo3bo9bo3bo9bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo9bo3bo9bo3bo9bo3bo11bobo\$51b2o5b2o5b4o3b4o3b4o3b4o3b4o3b4o3b4o3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3b4o3b4o3b4o3b4o3b4o3b4o3b4o5b2o5b2o\$48bo15bo47bo15bo31bo31bo31bo31bo15bo47bo15bo\$45b7o9b7o41b7o9b7o25b7o25b7o25b7o25b7o9b7o41b7o9b7o\$42bobobobobobobo3bobobobobobobo35bobobobobobobo3bobobobobobobo19bobobobobobobo19bobobobobobobo19bobobobobobobo19bobobobobobobo3bobobobobobobo35bobobobobobobo3bobobobobobobo\$39b2o2b2obobobob2obobob2obobobob2o2b2o29b2o2b2obobobob2obobob2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2obobob2obobobob2o2b2o29b2o2b2obobobob2obobob2obobobob2o2b2o\$36bo3bo3bo3bo15bo3bo3bo3bo23bo3bo3bo3bo15bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo15bo3bo3bo3bo23bo3bo3bo3bo15bo3bo3bo3bo\$33b4o3bo3bo3b4o9b4o3bo3bo3b4o17b4o3bo3bo3b4o9b4o3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3b4o9b4o3bo3bo3b4o17b4o3bo3bo3b4o9b4o3bo3bo3b4o\$30bobo5bobo3bobo5bobo3bobo5bobo3bobo5bobo11bobo5bobo3bobo5bobo3bobo5bobo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bobo5bobo3bobo5bobo3bobo5bobo11bobo5bobo3bobo5bobo3bobo5bobo3bobo5bobo\$27b2o5bobo4bobo4bobo4bobo4bobo4bobo4bobo5b2o5b2o5bobo4bobo4bobo4bobo4bobo4bobo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bobo4bobo4bobo4bobo4bobo4bobo5b2o5b2o5bobo4bobo4bobo4bobo4bobo4bobo4bobo5b2o\$24bo7bo47bo15bo39bo23bo31bo31bo23bo39bo15bo47bo7bo\$21b7ob7o41b7o9b7o33b7o17b7o25b7o25b7o17b7o33b7o9b7o41b7ob7o\$18bobobobo7bobobobo35bobobobobobobo3bobobobobobobo27bobobobobobobo11bobobobobobobo19bobobobobobobo19bobobobobobobo11bobobobobobobo27bobobobobobobo3bobobobobobobo35bobobobo7bobobobo\$15b2o2b2ob2o2b2ob2o2b2ob2o2b2o29b2o2b2obobobob2obobob2obobobob2o2b2o21b2o2b2obobobob2o2b2o5b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o13b2o2b2obobobob2o2b2o5b2o2b2obobobob2o2b2o21b2o2b2obobobob2obobob2obobobob2o2b2o29b2o2b2ob2o2b2ob2o2b2ob2o2b2o\$12bo3bo23bo3bo23bo3bo3bo3bo15bo3bo3bo3bo15bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo7bo3bo3bo3bo3bo3bo15bo3bo3bo3bo15bo3bo3bo3bo23bo3bo23bo3bo\$9b4o3b4o17b4o3b4o17b4o3bo3bo3b4o9b4o3bo3bo3b4o9b4o3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3b4ob4o3bo3bo3bo3bo3b4o9b4o3bo3bo3b4o9b4o3bo3bo3b4o17b4o3b4o17b4o3b4o\$6bobo11bobo11bobo11bobo11bobo5bobo3bobo5bobo3bobo5bobo3bobo5bobo3bobo5bobo3bo3bo3bobo3bo3bo3bobo3bo3bo3bobo3bo3bo3bobo3bo3bo3bo3bobo3bo3bo3bobo3bo3bo3bobo3bo3bo3bobo3bo3bo3bobo5bobo3bobo5bobo3bobo5bobo3bobo5bobo3bobo5bobo11bobo11bobo11bobo11bobo\$3b2o5b2o5b2o5b2o5b2o5b2o5b2o5b2o5b2o5bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bo2bo3bo2bo3bo2bo3bo2bo3bo2bo3bo2bo3bo2bo3bo2bo3bo2bo3bo3bo2bo3bo2bo3bo2bo3bo2bo3bo2bo3bo2bo3bo2bo3bo2bo3bo2bo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo5b2o5b2o5b2o5b2o5b2o5b2o5b2o5b2o5b2o\$o63bo63bo63bo63bo63bo63bo!`

Haven't been able to find any 8-fold or higher replication sequences so far, but they probably do exist. Would like it if Golly and/or LifeViewer could eventually support these rules some time in the future, as MCell is quite tricky to use.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3300
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Miscellaneous Discoveries in Other Cellular Automata

I'm thinking about Pascal triangle modulo 3, like how modulo 2 it generates sierspinski. I found some threefold replicators before.
`o\$oo\$ooo\$obbo\$ooboo\$oooooo\$obbobbo\$oobooboo\$ooooooooo\$obbbbbbbbo\$oobbbbbbboo\$ooobbbbbbooo\$obbobbbbbobbo\$ooboobbbbooboo\$oooooobbboooooo\$obbobbobbobbobbo\$ooboobooboobooboo\$oooooooooooooooooo\$obbbbbbbbobbbbbbbbo\$oobbbbbbboobbbbbbboo\$ooobbbbbbooobbbbbbooo\$obbobbbbbobbobbbbbobbo\$ooboobbbbooboobbbbooboo\$oooooobbboooooobbboooooo\$obbobbobbobbobbobbobbobbo\$oobooboobooboobooboobooboo\$ooooooooooooooooooooooooooo`

wwei23

Posts: 935
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Miscellaneous Discoveries in Other Cellular Automata

Here's a ninefold replicator rule:

http://m.wolframalpha.com/input/?i=rule ... 5163081110

Is anyone able to find an 8-fold?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3300
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Miscellaneous Discoveries in Other Cellular Automata

A rule with a natural 20c/67, and a 10c/38:
`x = 14, y = 32, rule = B2e3aeiy4ace5i6c7e8/S2-n3-aqr4aqrtz5aeny6cn4b2o\$3bobobo\$3bo2bo\$3bo3b2o\$3bo2bobo\$7bo\$2b2o\$5bo4b2o\$bo2bobo3bo2bo\$7o2bo3bo\$bo2bobo3bo2bo\$5bo4b2o\$2b2o\$7bo\$3bo2bobo\$3bo3b2o\$3bo2bo\$3bobobo\$4b2o8\$3b2o\$2bobo5b2o\$3b2o5b3o\$3bobo7bo\$3b2o6bobo\$11b3o!`

EDIT, and one transition away is a rule with a natural 3c/18 and a 3c/33 diagonal:
`x = 36, y = 14, rule = B2e3aeiy4ace5i6c78/S2-n3-aqr4aqrtz5aeny6cn3b2o27bo\$2bo2bo17b3o4b2ob2o\$2bo2bo17b2obo3b2ob2o\$3b2o18b3o3bo2bo2bo\$30b2ob2o\$o2b2o2bo15b2o5b2ob2o\$b6o15bob2o6bo\$2b4o17b2o\$23b2o\$33bo\$29bo2bobo\$27b4ob3o\$27b2obob3o\$29bo!`

One of the coolest explosions that I've seen:
`x = 5, y = 5, rule = B2e3aeiy4ace5i6c78/S2-n3-aqr4aqrtz5aeiny67c8o\$3o\$o2bo\$3bo\$2b3o!`

A knightpuffer that probably can't be stabilized into a ship:
`x = 12, y = 14, rule = B2e3aeiy4ae5i6c78/S2-n3-akqr4aqrtz5aeiny6-ei7e82\$7bo\$6bob2o\$5bo3bo\$6bo3bo\$7bobo\$5bo2bo\$5b2o!`
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 985
Joined: July 1st, 2016, 3:58 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

AforAmpere wrote:One of the coolest explosions that I've seen:
`x = 5, y = 5, rule = B2e3aeiy4ace5i6c78/S2-n3-aqr4aqrtz5aeiny67c8o\$3o\$o2bo\$3bo\$2b3o!`

Reminds me of this: B3ai4a/S3i4a5ai6ac7c8.

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

`x = 4, y = 4, rule = B35ak/S2-i34qbo\$b2o\$o2bo\$b2o!`

EDIT:
One isotropic bit difference, 2 different spaceships:
`x = 3, y = 4, rule = B34r5iy/S02ain33o\$obo\$obo\$bo!`

`x = 3, y = 4, rule = B34r5iy/S02ain3-i3o\$obo\$obo\$bo!`

EDIT:
And the award for Most Hardworking Spaceship goes to:
`x = 36, y = 64, rule = B2kn34cer5iy6ce7c8/S02ain3-i33bo3\$34bo\$26bo\$34bo\$26bo\$34bo\$26bo\$34bo\$26bo\$34bo\$26bo\$34bo\$26bo\$34bo\$26bo\$34bo\$26bo\$34bo\$26bo\$34bo\$26bo\$34bo\$26bo\$34bo\$26bo\$34bo\$26bo\$29b3o\$29bobo\$29bobo2\$35bo\$27bo\$35bo\$27bo\$35bo\$27bo\$35bo\$27bo\$35bo\$27bo\$35bo\$27bo\$35bo\$27bo\$35bo\$27bo\$35bo\$27bo\$35bo\$27bo\$35bo\$27bo\$obobobobobobobobobobobobo10bo\$27bo\$35bo\$27bo3\$29bo2\$bobobobobobobobobobobobobo!`
Last edited by Hdjensofjfnen on August 7th, 2018, 8:55 pm, edited 2 times in total.
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1061
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Miscellaneous Discoveries in Other Cellular Automata

77topaz wrote:
AforAmpere wrote:One of the coolest explosions that I've seen:
`x = 5, y = 5, rule = B2e3aeiy4ace5i6c78/S2-n3-aqr4aqrtz5aeiny67c8o\$3o\$o2bo\$3bo\$2b3o!`

Reminds me of this: B3ai4a/S3i4a5ai6ac7c8.

Reminds me of a tortoise!
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1061
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Miscellaneous Discoveries in Other Cellular Automata

My new favourite spaceship, a 23c/94 diagonal made of two B-heptominoes:
`x = 6, y = 15, rule = B3-ckq6ac8/S2-c3-a4iq5cko\$b2o\$2b2o\$bob2o\$bobo\$b2o4\$4o\$o2b2o\$2o2b2o\$4bo\$bobo\$bo!`

Unfortunately the rule is explosive:
`x = 18, y = 9, rule = B3-ckq6ac8/S2-c3-a4iq5ck2o\$b2o\$2o4\$16b2o\$17bo\$16b2o!`

A Semi-B turner:
`x = 76, y = 19, rule = B3-ckq6ac8/S2-c3-a4iq5ck5b2o58b2o\$5bobo57bobo\$6b2o58b2o2\$13b2o28b2o28b2o\$13bobo27bobo27bobo\$14b2o28b2o28b2o\$2o28b2o28b2o\$ob2o26bob2o26bob2o\$3bo29bo29bo\$bobo27bobo27bobo\$b2o28b2o28b2o\$14b2o28b2o28b2o\$13bobo27bobo27bobo\$13b2o28b2o28b2o2\$36b2o28b2o\$35bobo27bobo\$35b2o28b2o!`

Semi-B -> Two spaceships:
`x = 18, y = 18, rule = B3-ckq6ac8/S2-c3-a4iq5ck5b2o\$5bobo\$6b2o2\$13b2o\$13bobo\$14b2o\$2o\$ob2o\$3bo\$bobo\$b2o\$14b2o\$13bobo\$13b2o\$16b2o\$15bobo\$15b2o!`

It can easily be turned into a duplicator, as well as a gun. p192, p96, and p48 guns, the latter of which has a one-barrel component:
`x = 44, y = 42, rule = B3-ckq6ac8/S2-c3-a4iq5ck31b2o\$31bobo\$32b2o2\$39b2o\$39bobo\$40b2o\$27b2o\$27bobo\$29bo\$26bob2o\$26b2o\$40b2o\$39bobo\$39b2o\$42b2o\$41bobo\$41b2o2\$21b2o\$20bo2bo\$20bo2bo\$21b2o2\$b2o\$obo\$2o\$3b2o\$2bobo\$2b2o6\$2b2o\$2bobo\$3b2o2\$10b2o\$10bobo\$11b2o!`

`x = 44, y = 42, rule = B3-ckq6ac8/S2-c3-a4iq5ck31b2o\$31bobo\$32b2o2\$39b2o\$39bobo\$40b2o\$27b2o\$27bobo\$29bo\$26bob2o\$26b2o\$40b2o\$39bobo\$39b2o\$42b2o\$41bobo\$41b2o2\$21b2o\$20bo2bo\$20bo2bo\$21b2o2\$b2o\$obo\$2o\$3b2o\$2bobo\$2b2o\$16b2o\$14b2obo\$14bo\$14bobo\$15b2o\$2b2o\$2bobo\$3b2o2\$10b2o\$10bobo\$11b2o!`

`x = 44, y = 42, rule = B3-ckq6ac8/S2-c3-a4iq5ck31b2o\$31bobo\$32b2o2\$39b2o\$7b2o30bobo\$6bobo31b2o\$6b2o19b2o\$27bobo\$29bo\$26bob2o\$26b2o\$40b2o\$39bobo\$39b2o\$42b2o\$41bobo\$13b3o25b2o\$13bo2bo\$6b2o4bo2b2o4b2o\$6bobo3b2o6bo2bo\$7b2o11bo2bo6b2o\$21b2o4b2o2bo\$27bo2bo\$b2o25b3o\$obo\$2o\$3b2o\$2bobo\$2b2o\$16b2o\$14b2obo\$14bo\$14bobo\$15b2o\$2b2o\$2bobo\$3b2o2\$10b2o\$10bobo\$11b2o!`
she/they // Please stop using my full name. Refer to me as dani.

"I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D.

danny

Posts: 935
Joined: October 27th, 2017, 3:43 pm
Location: New Jersey, USA

### Re: Miscellaneous Discoveries in Other Cellular Automata

Two spaceships in a rule where I thought there would be none:
`x = 5, y = 15, rule = B3/S13o\$o\$2bo\$2b2o\$2bo6\$bo\$o2bo\$3b2o\$o2bo\$bo!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1061
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Miscellaneous Discoveries in Other Cellular Automata

Those B3/S13 ships are known, and there's a few more ones listed here. (That database can actually be used for any outer-totalistic rule.)

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

A puffer that doesn't explode:
`x = 5, y = 4, rule = B2/S0b2o\$o\$3bo\$2bobo!`

EDIT: And this:
`x = 6, y = 3, rule = B2-ae3ai/S03bo\$bo3bo\$2o!`

EDIT: Replicator (??)
`x = 3, y = 5, rule = B2-ae3ai/S0obo4\$bo!`

`x = 8, y = 8, rule = B2-ae3ai/S02ibo3\$obo2\$4bo\$7bo\$4bo!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1061
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Miscellaneous Discoveries in Other Cellular Automata

c/4o:
`x = 6, y = 5, rule = B2i34e5-cjnr/S2-i34cq4b2o\$b2o\$obo2bo\$b2o\$4b2o!`

EDIT: My new favorite, 3c/28o:
`x = 8, y = 4, rule = B3-ek/S023bobo\$2obo3bo\$bobo\$3bo!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1061
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Miscellaneous Discoveries in Other Cellular Automata

danny wrote:p192, p96, and p48 guns, the latter of which has a one-barrel component:

...and p64:

`x = 57, y = 50, rule = B3-ckq6ac8/S2-c3-a4iq5ck31b2o\$31bobo\$32b2o2\$39b2o\$7b2o30bobo\$6bobo31b2o\$6b2o22bo5b2o\$29b2o5bobo\$28b2o8b2o\$29b2o5bobo\$30bo5b2o17b2o\$40b2o13b2o\$39bobo7b3o4bo\$39b2o9b2o2bo\$42b2o\$13b3o25bobo\$12bo2bo25b2o\$12b2o2bo\$6b2o3b6o4b2o\$6bobo3b4o4bo2bo\$7b2o11bo2bo\$21b2o11b2o\$24bo9bobo\$b2o20bo2bo2bo2b2o2b2o\$obo20bob2o5b5o\$2o24b2o3b2o2bo\$3b2o20bo7bo\$2bobo\$2b2o\$22bo13bo\$21bo15bo\$20b2o15b2o\$21b2obo9bob2o\$22b3o9b3o\$2b2o\$2bobo\$3b2o2\$10b2o\$10bobo\$11b2o3\$43b4o\$42b6o5b3o\$42bo2b2o7b2o\$43bo2bo4bo2bo\$43b3o5bo2bo\$51b3o!`
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 2009
Joined: June 1st, 2009, 4:32 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

p235:
`x = 110, y = 110, rule = B3-ckq6ac8/S2-c3-a4iq5ck32b2o\$31bobo\$31b2o3\$42b3o\$34b3o5bo2bo\$34bo2bo3bo2b2o\$33bo2b2o3b2o5\$36bo\$37b2o17\$107b2o\$107bobo\$101bo6b2o\$68b3o31b2o\$68bo2bobo29bo\$35bo32b2ob2o23bo4bobo\$36b2o32b3o22bo5b2o\$35b3o57bo\$34bo2bo2b2o3bo\$34bobo4bo2b2o24bo\$34b3o4bo3bo22b3o30b2o\$42b3o22bo33bob2o\$67bo36bo\$67bobo32bobo\$68b3o31b2o19\$6b2o31b3o\$5bobo32bobo\$5bo36bo\$5b2obo33bo22b3o\$7b2o30b3o22bo3bo4b3o\$39bo24b2o2bo4bobo\$64bo3b2o2bo2bo\$14bo57b3o\$7b2o5bo22b3o32b2o\$6bobo4bo23b2ob2o32bo\$6bo29bobo2bo\$6b2o31b3o\$2o6bo\$obo\$b2o17\$71b2o\$73bo5\$67b2o3b2o2bo\$64b2o2bo3bo2bo\$64bo2bo5b3o\$65b3o3\$77b2o\$76bobo\$76b2o!`

Could conceivably be extended to most periods above, say, 150, although the loops would be very large.
Suppressing sparks takes the repeat time all the way down to 47, precisely half the period of the larger ship:
`x = 75, y = 84, rule = B3-ckq6ac8/S2-c3-a4iq5ck5b3o\$4bo2bo\$4b2o2bo23b2o\$7b2o22bobo\$30bobo\$30b2o\$17b2o\$17bobo\$18b2o5\$15b2o31b3o\$14bobo32bobo\$14bo36bo\$14b2obo33bo\$16b2o30b3o\$48bo2\$23bo\$16b2o5bo22b3o\$15bobo4bo23b2ob2o\$bo13bo12b3o14bobo2bo\$o14b2o10bo2bo5b3o9b3o\$3o6b2o6bo9b2o2bo3bo2bo\$9bobo18b2o3b2o2bo\$10b2o4\$36bo\$34b2o4\$38b2o31b3o\$37bobo32bobo\$37bo36bo\$37b2obo33bo\$39b2o30b3o\$71bo2\$46bo\$39b2o5bo22b3o\$38bobo4bo23b2ob2o\$38bo12b3o14bobo2bo\$38b2o10bo2bo5b3o9b3o\$40bo9b2o2bo3bo2bo\$53b2o3b2o2bo5\$37bo21bo\$35b2o20b2o\$35b3o\$27bo3b2o2bo2bo\$27b2o2bo4bobo\$27bo3bo4b3o\$28b3o17\$60bo\$58b2o\$58b3o\$50bo3b2o2bo2bo\$50b2o2bo4bobo\$50bo3bo4b3o\$51b3o!`

Not sure if any further reduction could be done by suppressing the larger output ship.
Proof-of-concept p47 gun:
`x = 106, y = 106, rule = B3-ckq6ac8/S2-c3-a4iq5ck20bo\$19b2o\$19bobo\$63b3o\$55b3o5bo2bo\$55bo2bo3bo2b2o\$54bo2b2o3b2o5\$57bo\$31b2o25b2o\$31bobo\$31bo2\$54b2o\$54bobo\$56bo\$53bob2o46b2o\$53b2o49b2o\$30b2o71bo\$29bobo\$29b2o\$58b2o\$57bo\$40b3o\$32b3o5bo2bo\$32bo2bo3bo2b2o\$31bo2b2o3b2o8b2o31b2o\$48bobo3bo2b2o3b2o18bobo\$48b2o5bo2bo3bo2b2o9bo6b2o6b3o\$55b3o5bo2bo10b2o14bo\$63b3o12bo13bo\$34bo36bo4bobo\$35b2o33bo5b2o\$70bo3\$4b2o25b2o43b2o\$3bobo25bobo42bob2o\$3bo29bo45bo\$3b2obo23bob2o17b2o24bobo\$5b2o23b2o19bobo23b2o\$52bobo\$53b2o\$12bo11bo\$5b2o5bo11bo5b2o\$4bobo4bo13bo4bobo41b2o\$4bo12b3o12bo41bobo\$4b2o10bo2bo11b2o42b2o\$6bo9b2o2bo9bo13b2o16b2o\$19b2o22bobo15bobo\$42bobo15bobo22b2o\$42b2o16b2o13bo9bo2b2o9bo\$29b2o42b2o11bo2bo10b2o\$29bobo41bo12b3o12bo\$30b2o41bobo4bo13bo4bobo\$74b2o5bo11bo5b2o\$81bo11bo\$51b2o\$51bobo\$27b2o23bobo19b2o23b2o\$26bobo24b2o17b2obo23bob2o\$26bo45bo29bo\$26b2obo42bobo25bobo\$28b2o43b2o25b2o3\$35bo\$28b2o5bo33b2o\$27bobo4bo36bo\$13bo13bo12b3o\$12bo14b2o10bo2bo5b3o\$12b3o6b2o6bo9b2o2bo3bo2bo5b2o\$21bobo18b2o3b2o2bo3bobo\$22b2o31b2o8b2o3b2o2bo\$62b2o2bo3bo2bo\$62bo2bo5b3o\$63b3o\$48bo\$46b2o\$75b2o\$74bobo\$2bo71b2o\$2o49b2o\$b2o46b2obo\$49bo\$49bobo\$50b2o2\$74bo\$72bobo\$46b2o25b2o\$48bo5\$42b2o3b2o2bo\$39b2o2bo3bo2bo\$39bo2bo5b3o\$40b3o\$84bobo\$85b2o\$85bo!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1858
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Miscellaneous Discoveries in Other Cellular Automata

Another t-push reaction, this time with a knightship.
`x = 7, y = 20, rule = B3-c6n7e/S2-i34q3o\$3o\$bo8\$4bo\$2b4o\$2bo2b2o\$o2bo\$3o\$2o2\$4bo2\$5bo!`
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Rhombic

Posts: 1056
Joined: June 1st, 2013, 5:41 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

A 17-omino + is a p3 oscillator in B34e/S23, just one transition away from Life.
`x = 9, y = 9, rule = B34e/S234bo\$4bo\$4bo\$4bo\$9o\$4bo\$4bo\$4bo\$4bo!`

I accidentally discovered this while messing around in Life (at gen 3 in Life, the center cell is the only thing missing).
`x = 81, y = 96, rule = LifeHistory58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!`
Gamedziner

Posts: 678
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Miscellaneous Discoveries in Other Cellular Automata

Gamedziner wrote:(at gen 3 in Life, the center cell is the only thing missing).

If it's that close to a P3 in Life, then there must be a way to make it so in Life.

wwei23

Posts: 935
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Miscellaneous Discoveries in Other Cellular Automata

wwei23 wrote:
Gamedziner wrote:(at gen 3 in Life, the center cell is the only thing missing).

If it's that close to a P3 in Life, then there must be a way to make it so in Life.

...except it Doesn't Work That Way.
Life has no birth on any neighborhood with all four orthogonal neighbors ON, so you can't turn that cell ON.
Even if you only used three - or two- of the spokes, there's no way to connect the generations to each other without requiring some alien birth/survival condition.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1858
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Miscellaneous Discoveries in Other Cellular Automata

wwei23 wrote:
Gamedziner wrote:(at gen 3 in Life, the center cell is the only thing missing).

If it's that close to a P3 in Life, then there must be a way to make it so in Life.

Look. Stabilisations aren't magic.

KittyTac

Posts: 533
Joined: December 21st, 2017, 9:58 am

### Re: Miscellaneous Discoveries in Other Cellular Automata

Rule preserves the glider, and has natural p2s, p3s, p4s, and p6s:
`x = 34, y = 5, rule = B2i3-e4qw/S02-i34q33bo\$bo10bo6b2o6bo5bo\$2bo8bo2bo4b2o11b2o\$3o8bo2bo6b2o4bo\$13bo7b2o9bo!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1061
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Miscellaneous Discoveries in Other Cellular Automata

Hdjensofjfnen wrote:Rule preserves the glider, and has natural p2s, p3s, p4s, and p6s:
`x = 34, y = 5, rule = B2i3-e4qw/S02-i34q33bo\$bo10bo6b2o6bo5bo\$2bo8bo2bo4b2o11b2o\$3o8bo2bo6b2o4bo\$13bo7b2o9bo!`

A c/14 diagonal in that rule:
`x = 5, y = 5, rule = B2i3-e4qw/S02-i34q3o\$2obo\$2o2bo\$2b3o\$2b3o!`

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

Ship and puffer:
`x = 7, y = 24, rule = B2ekn3ai4ck7/S23b2o2bo\$o4bo\$b5o2\$3b2o\$2bo\$3b2o11\$2b2o\$bo3bo\$2b5o\$4bobo\$b2o\$o\$b2o!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1061
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Miscellaneous Discoveries in Other Cellular Automata

Is this a replicator?
I can't tell
`x = 8, y = 6, rule = B3aik4an6i/S3in4a5ai6aci7c8b5o\$b5o\$8o\$8o\$b5o\$b5o!`

also this 2c/10
`x = 6, y = 6, rule = B3aik4an6i/S2a3in4a5aiq6aci7c84bo\$b3o\$6o\$6o\$b5o\$2b2o!`
Failed Replicator!
`x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8bo\$obo\$bobo\$2bo!`

(That I wish was not failed D:)

jimmyChen2013

Posts: 126
Joined: December 11th, 2017, 3:28 am

### Re: Miscellaneous Discoveries in Other Cellular Automata

No, it's not a replicator, it's just a messy sort of explosion. Here's a population plot:

`x = 563, y = 536, rule = B3/S23269b3o2bo6b3o2b4o2b4o3b3o3b3o2b4o2b4o\$268bo3bobo7bo3bo3bobo3bobo3bobo3bobo3bobo3bo\$268bo5bo7bo3bo3bobo3bobo3bobo3bobo3bobo3bo\$268bo5bo7bo3b4o2b4o2bo3bob5ob4o2bo3bo\$268bo5bo7bo3bo5bo3bobo3bobo3bobo2bo2bo3bo\$268bo3bobo7bo3bo5bo3bobo3bobo3bobo3bobo3bo\$269b3o2b5o2b3o2bo5b4o3b3o2bo3bobo3bob4o8\$5o4bo2b5o2b3o3b3o5bo\$4bo3b2o6bobo3bobo3bo3b2o\$3bo3bobo5bo2bo3bo5bo2bobo\$2bo3bo2bo4bo4b3o5bo2bo2bo11bo138bo\$bo4b5o2bo4bo3bo3bo3b5o10bo138bo\$o8bo2bo5bo3bo2bo7bo11bo138bo\$o8bo2bo6b3o2b5o4bo11bo138bo\$45bo138bo\$45bo138bo\$45bo138bo\$45bo138bo\$45bo138bo\$45bo138bo\$45bo138bo\$45bo138bo\$45bo138bo\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo138b2o\$45bo137b3o\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo\$45bo137bobo214bo119bo\$45bo137bobo213b2o119bo\$45bo137bobo213b2o119bo\$45bo137bobo213b2o119bo\$45bo137bobo213b2o119bo\$45bo137bobo213b2o119bo\$45bo137bobo213b2o119bo\$45bo137bobo213b2o119bo\$45bo137bobo213b2o119bo\$45bo137bobo213b2o119bo\$45bo137bobo213b2o119bo\$45bo137bobo213b2o119bo\$45bo137bobo213b2o118b2o\$45bo137bobo213b2o118b2o\$45bo137bobo213b2o118b2o\$45bo137bobo213b2o118b2o\$45bo137bobo213b2o118b2o\$45bo137bobo213b2o118b2o\$45bo137bobo213b2o118b2o\$45bo137bobo213b2o118b2o\$45bo137bobo213b2o118b2o\$45bo137bobo213b2o118b2o\$45bo137bobo213b2o118b2o\$45bo137bobo213b2o118b2o\$45bo137bobo213b2o118b2o\$45bo137bobo213b2o118b2o\$45bo137bobo213b2o118b2o\$45bo137bobo213b2o118b2obo\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b2o118b4o\$45bo137bobo213b3o117b4o\$45bo137bobo213b3o117b4o\$45bo137bobo213b3o117b4o\$45bo137bobo213b3o117b4o\$45bo137bobo213b3o117b4o\$45bo137bobo213b3o117b4o\$45bo137bobo213bobo117b4o\$45bo137bobo213bobo117b4o9bo\$45bo137bobo213bobo117b4o9bo\$45bo137bobo213bobo117b4o9bo\$45bo137bobo213bobo117b4o9bo\$45bo137bobo161bo51bobo117b4o9bo\$45bo137bobo161bo51bobo117b4o9bo\$45bo137bobo161bo51bobo117b4o9bo\$45bo137bobo161b2o50bobo117b4o9bo\$45bo137bobo161b2o50bobo117b4o9bo\$45bo137bobo161b2o50bobo117b4o9bo\$45bo137bobo161b2o50bobo117b4o9bo\$45bo137bobo161b2o50bobo117b4o9bo\$45bo137bobo161b2o50bobo117b4o9bo\$45bo137bobo161b2o50bobo117b4o9bo\$45bo137bobo161b2o50bobo117b4o9bo\$45bo137bobo161b2o50bobo117b4o9bo\$45bo137bobo161b2o50bobo117b4o9bo\$45bo137bobo161b2o50bobo117b4o8b2o\$45bo137bobo161b2o50bobo117b4o8b2o\$45bo137bobo161b2o50bobo111bo5b4o8b2o\$45bo137bobo161b2o50bobo111bo5b4o8b2o\$45bo137bobo161b2o50bobo111bo5b4o8b2o\$45bo137bobo161b2o50bobo111bo5b4o8b2o\$45bo137bobo161b2o50bobo111bo5b4o8b2o\$45bo137bobo161b2o50bobo111bo3bob4o8b2o\$45bo137bobo161b2o50bobo111bo3bob4o8b2o\$45bo137bobo161b2o50bobo111bo2b2ob4o8b2o\$45bo137bobo84bo76b2o50bobo111bo2b2ob4o8b2o\$45bo137bobo84bo76b2o50bobo111bo2b2ob4o8b2o\$45bo137bobo84bo76b2o50bobo111bo2b2ob4o8b2o\$45bo137bobo84bo76b2o50bobo49bo37bo23bo2b2ob4o8b2o\$45bo137bobo84bo76b2o50bobo49bo37bo23bo2b2ob4o8b2o\$45bo137bobo84bo76b2o50bobo49bo37bo17bo5bo2b2ob4o8b2o\$45bo137bobo84bo76b2o50bobo49bo37b2o16bo5bo2b2ob4o8b2o\$45bo137bobo84bo76b2o50bobo49bo37b2o16bo5bo2b2ob4o8b2o7bo\$45bo137bobo84bo76b2o50bobo49bo37b2o16bo5bo2b2ob4o8b2o7bo\$45bo137bobo84bo76b2o50bobo49bo37b2o16bo5bo2b2ob4o8b2o7bo\$45bo137bobo84bo76b2o50bobo49bo37b2o16bo5bo2b2ob4o8b2o7bo\$45bo137bobo84bo76b2o50bobo49bo37b2o16bo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77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

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