Longevity-Optimized Conway's Game of Life Fill Density for Square Wrap-Around Boards

This weekend I set out to build a 64x64 LED matrix version of Conway&rsquo;s Game of Life . For compute&rsquo;s sake, the board would be wrap-around i.e. on a torus. I wanted each set of generations to run for as long as possible until stagnancy and reset, so I wrote an analysis script to determine what alive-percentage for a random fill would be optimal to keep the game going as long as possible.