3 ms·

I don't think that's surprising, because surely there are a lot more possible ways to get larger periods than small periods? The amount of possible interactions

I don't think that's surprising, because surely there are a lot more possible ways to get larger periods than small periods? The amount of possible interactions / mechanisms in play is more limited with small periods. I think that groups of periods over some theshold numbers would also yield more readily to "constructive" approaches where you can "build up" the period using oscillators of a smaller period as components.

Someone 3y ago
for example, search for constellations that send gliders back and forth through empty space. If you have one of period p, you can make one of period p + 8n for every n in Ν by moving the guns further away from each other. Find a few guns that take longer to ‘reload’ upon getting ‘hit’. Search on, and hopefully, you can find the 7 other modulos. And it need not be glider guns. It could also be constellations that send a ‘ripple’ through occupied space back and forth. I guess such ones can be made with smaller periods, but may require larger constants than 8 because you typically can’t move them further apart by a single cell. Edit: another comment mentions https://conwaylife.com/wiki/P43_Snark_loop https://conwaylife.com/wiki/P43_Snark_loop, a single construct that can be tweaked to have any period ≥ 43.