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There are a lot of wacky and psychedelic CA rules out there but SmoothLife by Stephan Rafler is different. Designed as a continuous version of Conway's Game of Life (using floating point numbers instead of integers), it supports a glider that can travel in any direction, as well as rotating pairs and strange elastic rope things. Don't miss the nice glider collision at around 3:12. Technical details can be found on the youtube page: SmoothLifeL
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Coolest computer generated thing I've seen in a while! I should upload some CA vids I've done - you may enjoy
We need Boards of Canada in the background!
+Tim Hutton,  if you would,  what is the music that was used?  I like it very much.  :)
+Tim Hutton, it's really fascinating. I read the paper and watched the slides, but didn't quite understand if this is generated with continuous time or discrete.

Is it possible to convert the kernel (a s(m, n) function) from discrete to continuous, so that you would end up with the same or almost the same automaton? At the first glance, the continuous and discrete rules (at least as they are formulated in the paper) should lead to automatons with very different properties. For example, discreet automatons have fixed "speed of light": no signal can travel faster than outer radius per time step, while in continuous automaton the signal travels instantly.

Also, what really interests me is if it is possible to modify the rules so that they were invariant under Lorentz transformation. Because if it is possible, then you get rid of the one fixed reference system and make everything much more world-like. (By the way, it might happen that already the rule that you are using is invariant...)
+Oleg Eterevsky : The SmoothLifeL system in this video is fully continuous in time and space. (Of course our simulation is an approximation of it and is discrete in time and space.) I don't know the answers to your other questions.
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