SmoothLifeL

Toffoli[0] & Margolus’[1] Cellular Automata Machines (1987) is the CA bible, I guess. Andrew Adamatsky edited the encyclopedic Cellular Automata (2018). Ed Fredkin's[2] stuff on reversible CA is fascinating. Gerard Vichniac[3] wrote some great papers in the 80s, e.g. Simulating Physics with Cellular Automata (1984). Kenichi Morita[4] papers. Rudy Rucker[5] has written a lot of stuff on 1 and 2D CA, and worked as a CA programmer. Etc. There are a lot of papers. The very common finite element method of solving differential equations and PDEs is basically the same thing as CA - see e.g. Anderson's Computational Fluid Dynamics. Attractors and approximations for lattice dynamical systems by Shengfan Zhou, 2002. 1954's Studies of Nonlinear Problems by Fermi, Ulam, Pasta, featuring a 1D CA. link Noether's theorem comes up frequently - that every symmetry of the system corresponds to a conservation law.[6] Smooth Life is Stephan Rafler's very cool version of CGOL with every discrete aspect turned into a continuous one.[7] [0] link [1] link link [2] link [3] link [4] link [5] link [6] link [7] best video of SmoothLife ▶ this video link This slideshow by Rafler contains the best, most complete explanation of it I've found: link Shadertoy version link