On 11 Oct 2012, at 23:47, Russell Standish wrote:
That's serious cool! I love the comment posted "Stephen Wolfram is
very angry!"
They do discrete time (Euler integration), but one could easily make
it continuous by replacing it with a Runge-Kutta integration scheme.
Thanks for posting this.
Very cool videos indeed. Although those are no more cellular automata,
those are still featuring digital phenomena, even with a Runge-Kutta
integration scheme. I guess this remark is obvious, despite the notion
of computation on the real does not have standard definition, nor the
equivalent of Church thesis. Of course some people search for that.
I bet those smooth life game are Turing universal, but that might not
be so easy to prove. I guess the simplest way to do that consists in
finding the good subrange of phenomena need to get the elementary part
of a "von Neumann" sort of machine, like with the usual GOL.
Bruno
On Thu, Oct 11, 2012 at 04:14:15PM -0500, Jason Resch wrote:
http://www.jwz.org/blog/2012/10/smoothlifel/
Jason
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