I'm not sure. I'll explore it a bit. Feel free to fork it and explore it yourself!

Warning: huge amounts of compute time have been spent trying to find a counter example to this conjecture, which almost everyone believes is true. I kept my office warm this way one winter. It has been described as a way to turn pure Platonic mathematics into heat.

Always interesting to try to visualize something though.

Ps -- I implemented hashlife one time. Still amazed someone came up with that algorithm