NimbleRogue wrote: ↑March 11th, 2024, 1:32 pm
Why should this not count?(Note with 2 copies extra cells are formed, but with 3 they do not interact)
Code: Select all
x = 44, y = 10, rule = B3-ejq4w6c/S2-c3-a4i
3o17b3o17b3o$2bo19bo19bo$b2o18b2o18b2o$20bo14b3o$35bobo$18bo15bo2bo4b
o$16b2o14b2o6b4o$16bo15b2o6bo$16b3o13b3o5bo2bo$37bo3b3o!
I think this also counts as a loopable RRO, and the intended meaning was "two or more non-interacting copies ... with a lower period ..."
NimbleRogue wrote: ↑March 11th, 2024, 1:32 pm
And why not this? even though it is not loopable, it rotates itself every 117 generations
Code: Select all
x = 4, y = 3, rule = B3-cjry4jryz5iknqy6i7e/S2aek3-anry4-acntz5-aij67e
4o$obo$3o!
Because this is just a p468 mod117 oscillator. There are very many oscillators whose
mod is strictly lower than their period.
I think the underlying idea of a "reflectorless rotating oscillator" is narrower than that. Intuitively, a RRO should look and feel like a "looped spaceship" which is actually an oscillator rather than a spaceship.
In Life,
roteightor is a mod2 p8 oscillator, and
gourmet is a mod8 p32 oscillator, but those oscillators are not RROs.
NimbleRogue wrote: ↑March 11th, 2024, 1:32 pm
That definition ensures that only RROs are counted, but I feel it is too restrictive, leaving out some RROs.
Well there is already a way to say that the oscillator rotates 90 degrees in 1/4 of its period, without implying anything else: "period-4N mod-N oscillator".
RROs should be loopable, or at least it should be possible to see how the oscillator "looks like a "spaceship" which doesn't actually move away, but instead reappears in a rotated form and subsequently returns back to the starting location". Removing that requirement will include very many oscillators that are "boring" in this context (i.e. are not the kind of thing one is usually looking for, when one is looking for known examples of RROs).
127:1
B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.