arXiv:1111.1567nlin.CG
We present what we argue is the generic generalization of Conway's "Game of Life" to a continuous domain. We describe the theoretical model and the explicit implementation on a computer.
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Well, there is SmoothLife (e.g. https://www.arxiv-vanity.com/papers/1111.1567/#S4) where the time step is also made continuous. I suppose you could extend this so that this isn't some uniform value across the entire space, but instead a value that is constantly recomputed based…
Reminds me of SmoothLife. Generalization of Conway's "Game of Life" to a continuous domain - SmoothLife (Stephan Rafler) http://arxiv.org/abs/1111.1567 Video of SmoothLifeL: https://www.youtube.com/watch?v=KJe9H6qS82I
Based on this paper: https://arxiv.org/abs/1111.1567 Rafler, Stephan - Generalization of Conway's "Game of Life" to a continuous domain - SmoothLife [2011] Citations here: https://scholar.google.com/scholar?cites=7362834692940912518 Arxiv also points to a blog post from 2013…
Aren't cellular automata in continuous space just PDE's? If so, what is the equation being integrated? EDIT: found the paper: http://arxiv.org/pdf/1111.1567v2.pdf
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Going continuous is also fun: Lenia: https://chakazul.github.io/lenia.html https://levelup.gitconnected.com/playing-with-lenia-a-contin... https://www.youtube.com/watch?v=7-97RhAZhXI A nice demo: https://chakazul.github.io/Lenia/JavaScript/Lenia.html Smoothlife…
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