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
CA$2A5$2A$2C4$2.2A$3.A$3C$A5$4.2A$2A3.A$A2.C$2.3C$5.A$4.2A!
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.
The torch of 5S has been passed on again, and is now managed by speedydelete. It can be found
here. Also check out my program
EPE, a tool for searching for patterns in various rulespaces.