Code: Select all
x = 87, y = 77, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
70bobo$69b5o$54bo15bobo$56bo$55b2o13bobobo$69b7o$72bobo$56bo$54b5o15b
2o$54bo3bo11bo2b3o$53b2obob2o14b2o$54bo3bo7bo$54b5o7bo5b2o$56bo10b2o2b
3o$25bo41b2o3b2o$27bo$26b2o$21bo$23bo$22b2o45bo$68b3o$68bo2bo$21bo4bo$
23bo$22b2o8b2o$32bo$34bo$31b2o$31bo$33bo2$2bo32bo44bobobo$o25b2o9bo14b
2o$2o25bo8b2o15bo3bo$26b2o23bo$2o34b2o42bobobobo$o2bo30bo2bo$2b2o23bo
6b2o17b2ob3ob2o19bo$25b5o24bo2bo2bo18b2o4bo$25bo3bo24b2o3b2o24b2o$24b
2obob2o47bobo4bo$25bo3bo48bo2bo$25b5o48bo4bo$27bo50b2o3b2o$79bo3bo6$
27bo$26b3o$26bobo$27bo16$23bo7bo$27bo$24bo5bo2$27bo3$25bo3bo!
Even though it is likely not optimal in terms of minimal repeating population 172 is already better than B3/S23, like in the linear growth.
Furthermore, I found by accident this log-sawtooth. So the the maximum population is log(n)n and the minimum population is log(n):
Code: Select all
x = 93, y = 79, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
70bobo$69b5o$54bo15bobo$56bo$55b2o13bobobo$69b7o$72bobo$56bo$54b5o15b
2o$54bo3bo11bo2b3o$53b2obob2o14b2o$54bo3bo7bo$54b5o7bo5b2o$56bo10b2o2b
3o$25bo41b2o3b2o$27bo$26b2o$21bo$23bo$22b2o45bo$26b3o39b3o$26b3o39bo2b
o$21bo3bo$23bo$22b2o3bo2bob2o$27b3o2bo$28bo5bo$31b2o$31bo$33bo2$2bo32b
o44bobobo$o3b2o31bo14b2o$2o2bo31b2o15bo3bo$4b2o45bo$2o34b2o42bobobobo$
o2bo30bo2bo$2b2o23bo6b2o17b2ob3ob2o19bo$25b5o24bo2bo2bo18b2o4bo$25bo3b
o24b2o3b2o24b2o$24b2obob2o47bobo4bo$25bo3bo48bo2bo$25b5o48bo4bo$27bo
50b2o3b2o$79bo3bo25$23bo2bobo2bo$27bo4$26b3o2$25bo3bo!
Code: Select all
x = 66, y = 64, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
49bobo$48b5o$33bo15bobo$35bo$34b2o13bobobo$48b7o$51bobo$35bo$33b5o15b
2o$33bo3bo11bo2b3o$32b2obob2o14b2o$33bo3bo7bo$10b2o3b2o16b5o7bo5b2o$
10bo2bo2bo18bo10b2o2b3o$9b2o5b2o28b2o3b2o$13bo$12bobo2$7bo5bo$48bo$47b
3o$13bo33bo2bo6$7bo11bo$7b3o7b3o$9bo7bo2$o5bo13bo5bo32bobobo$2bo21bo6b
2o$b2o3bo13bo3b2o6bo3bo$30bo$59bobobobo2$8bo9bo13b2ob3ob2o19bo$33bo2bo
2bo18b2o4bo$33b2o3b2o24b2o$57bobo4bo$57bo2bo$57bo4bo$57b2o3b2o$58bo3bo
8$13bo$12b3o$12bobo$13bo5$9b2o5b2o$10bo5bo$8bo9bo$12bo!
Code: Select all
x = 66, y = 63, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
49bobo$48b5o$33bo15bobo$35bo$34b2o13bobobo$48b7o$51bobo$35bo$33b5o15b
2o$33bo3bo11bo2b3o$32b2obob2o14b2o$33bo3bo7bo$10b2o3b2o16b5o7bo5b2o$
10bo2bo2bo18bo10b2o2b3o$9b2o5b2o28b2o3b2o$13bo$12bobo2$7bo5bo$48bo$47b
3o$13bo33bo2bo5$7bo11bo$7b3o7b3o$9bo7bo$5b3o11b3o$o4bobo11bobo4bo$2bob
obobo9bobobobo34bobobo$b2o2bobo11bobo2b2o5b2o$5b3o11b3o10bo3bo$30bo$5b
o15bo37bobobobo$8bo9bo$32b2ob3ob2o19bo$33bo2bo2bo18b2o4bo$33b2o3b2o24b
2o$57bobo4bo$57bo2bo$57bo4bo$57b2o3b2o$58bo3bo8$13bo$12b3o$12bobo$13bo
4$9b2o5b2o$10bo5bo$8bo9bo$12bo!