This is a strange challenge, and it probably can be solved by a computer program, but here it is:
For a n-cell polyplet in Life, what is the specific n-cell polyplet that takes the most cells to stabilize? This is excluding Coolout Conjecture examples. For n = 1, 2, 3, and 4, the solutions are 4, 4, 7, and 13 respectively, with the polyplet with maximal stabilization in white:
Code: Select all
x = 6, y = 25, rule = LifeHistory
Does anyone understand what I mean? I think this might be an interesting problem, but I really don't know. Feel free to ask questions.
I and wildmyron manage the 5S project
, which collects all known spaceship speeds in Isotropic Non-totalistic rules.
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)