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I hope you know Conway's

• 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

In SmoothLife, Rafler modified the game further by using the

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!

**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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- Uh-oh Michael, you're starting to sound like Stephen Wolfram.

(I kid.)Feb 17, 2013 - +Michael Flohr "given that [Conway GoL] has been optimized for decades by now"

Indeed. Hashlife is gives a breathtaking speedup. It basically stores a dictionary for c*n x c*n supercells after n iterations (c is the speed of light here). Feels like exponential speedup, until, of course, you run out of memory. Look for "Golly" in the GoL Wikipedia entry.Feb 17, 2013 - +Richard Botting Stephan Rafler rules formulation is also grid-free. Grid-free computer implementation (particle-like) would be interesting only if rules can not be explicitly written in simple, grid-friendly form. For GPGPU (cuda, OpenCL) grid implementaion is a lot more easy then particlesFeb 17, 2013
- yes adding a 3th dimension would be great too. :)

as would be a second and third orgamism that would prey on each other.Feb 18, 2013 - I think I saw an article on a 3d version in Dr. Dobb's Journal 10 years ago. Plus or minus 5 years.

Sent from R J Botting's iPodFeb 18, 2013 - +michel prins - In my article I wrote: "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!"Feb 18, 2013