See also SmoothLife, an amazing continuous version of Game of life. Integers are replaced by floats providing the same patterns with circular shapes.
Here: https://conwaylife.com/wiki/OCA:SmoothLife
This is neat and has so many ideas that inspired me for Go-L. I like the GPU and parallelism (and OpenGL). If I took it to a floating point concept, I'd love to do PDE modelling with it too.