I hope you know Conway's Game of Life, featuring a grid of white and black squares that change according to simple rules, but generate complicated patterns.  SmoothLife looks even more biological!  Watch this video, then learn more here:

• Stephan Rafler,  Generalization of Conway's "Game of Life" to a continuous domain - SmoothLife, http://arxiv.org/abs/1111.1567.

In the original Game of Life, whether a particular square is black or white on the next move depends on its current state and how many of its 8 neighbors are black now.   In her PhD thesis, Kellie Michele Evans generalized this to Larger Than Life, where relevant neighborhood is a large disk.  In the limit where this disk becomes large, we can think of each square as a single point.   

In SmoothLife, Rafler modified the game further by using the number of black squares in a smaller disk as a substitute for whether the point itself was black or white. 

You can see lots of videos of SmoothLife and related games here:

http://www.youtube.com/playlist?list=PL69EDA11384365494

Some of them are 3-dimensional!
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