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I didn't know it was called Lenia, but I have seen implementations of it here and there. It's pretty cool that people have gotten it working, and I wonder what other totalistic cellular automata besides the Game of Life would look like when evaluated in a continuous manner.
The problem with making truly continuous CA is that we are using digital computers to do it, so we can only ever get an approximation of what a CCA would look like. I've seen just how big a difference 8 bit vs 16 bit values make, and I imagine that even though higher and higher bit depths would converge upon a truer model, issues will still persist. Plus, we are still stuck with using grids...