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Conway's Game of Life for curved surfaces (2012)

Conway’s Game of Life is one of the most popular and iconic cellular automata.  It is so famous that googling it loads up a working simulation right in your browser!  The rules for the Game o…

I found this scheme to give poor results since it tends to diverge whenever the state of a cell is relatively stable (leading to field values outside the range [0,1]). This type of system is sometimes called the weak formulation of the boundary value problem, and by standard linear algebra arguments finding the solution amounts to doing a subspace projection. The stuff in this article is basically background material, and most of it can be found in Rafler’s paper or is already more-or-less documented in the source code for the SmoothLife project on SourceForge.

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