Here's a conjecture: Every infinite oscillator has a period that is a power of 2.
(I'm kinda hoping this is false.)
Replicator
Re: Replicator
Code: Select all
x = 19, y = 37, rule = B3/S23
13b3o$12b4o$11b2obobo$13bobo$15bo12$10b2o$bobo7bobo$o7b2o3b2o$o3bo2b3o
3bo$o6b4obo$o2bo7bo$3o12bobo$18bo$14bo3bo$14bo3bo$18bo$9bo5bo2bo$8b3o
5b3o2$10bo$2bobo4b2o$5bo2b3o$5bo2b3o$2bo2bo2b2obo$3b3o3b3o$10bo!-
PHPBB12345
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Re: Replicator
Is this counts?eRroR_6o6 wrote: July 10th, 2025, 10:05 pm Here's a conjecture: Every infinite oscillator has a period that is a power of 2.
(I'm kinda hoping this is false.)
Code: Select all
x = 3, y = 1, rule = B1357/S1357:T5,1
obo!Code: Select all
x = 10, y = 1, rule = B1357/S1357:T15,1
ob2o2b2obo!Re: Replicator
Is an infinite oscillator an almost oscillator in the sense of LifeWiki?eRroR_6o6 wrote: July 10th, 2025, 10:05 pm Here's a conjecture: Every infinite oscillator has a period that is a power of 2.
(I'm kinda hoping this is false.)
Still drifting.
Re: Replicator
Yeah, I think that counts as a counterexample.PHPBB12345 wrote: July 13th, 2025, 9:40 pm Is this counts?Code: Select all
x = 3, y = 1, rule = B1357/S1357:T5,1 obo!Code: Select all
x = 10, y = 1, rule = B1357/S1357:T15,1 ob2o2b2obo!
Code: Select all
x = 19, y = 37, rule = B3/S23
13b3o$12b4o$11b2obobo$13bobo$15bo12$10b2o$bobo7bobo$o7b2o3b2o$o3bo2b3o
3bo$o6b4obo$o2bo7bo$3o12bobo$18bo$14bo3bo$14bo3bo$18bo$9bo5bo2bo$8b3o
5b3o2$10bo$2bobo4b2o$5bo2b3o$5bo2b3o$2bo2bo2b2obo$3b3o3b3o$10bo!