SmoothLifeL

Also: link featuring the seminal paper by Stephan Rafler and Tim Hutton's video ▶ this video link featuring a more recent variant

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

Reminds me of SmoothLife. Generalization of Conway's "Game of Life" to a continuous domain - SmoothLife (Stephan Rafler) link Video of SmoothLifeL: ▶ this video

(not directly related to the article) The cellular automata in the article is a discrete one. For those interested, there are also "continuous" automata ▶ this video .

Must see evolution of GOL: "SmoothLife is a family of rules created by Stephan Rafler. It was designed as a continuous version of Conway's Game of Life - using floating point values instead of integers." ▶ this video link

If you're mesmerized by the "Game of Life" like I am your going to enjoy the Continuously Domain versions like smooth life. Check out the video[0], and an implementation in python[1] on HN. [0]: ▶ this video [1]: link

If you are familiar with Conway's game of life, there is also "smooth life" which uses turing style reaction-diffusion equations: ▶ this video

24 parallel games combined in a way indecipherable to normal human eyes isn't terribly interesting to me. I find SmoothLife more interesting: ▶ this video

Good job. Any idea why using the parameters specified in the video description of ▶ this video do not seem to replicate the output of the video? link I tried the same parameters in the version downloadable at link and it did not seem to produce similar output to the video either.

Original post: link Technical details on the YouTube page: ▶ this video (Two lots of source code available: Stephan's and mine) Other discussions about this: Reddit: link Metafilter: link