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Conway's Game of Life, using floating point values instead of integers

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Re: Conway's Game of Life, using floating point values instead of integers

#23
post #10

Earlier quoted context omitted.

check out hashlife and some of the larger landscapes.

Thank you, mind blown! Downloaded "Golly" ( http://golly.sourceforge.net/ ) and ran HashLife/metapixel. Life simulating life, and it runs in real time.

Mind blown pretty much describes what I felt like when I first came upon it.

After spending a good bit of time optimizing 'life' having your ass handed to you by a large number of orders of magnitude courtesy of mr. Norvig is a good lesson in humility.

Re: Conway's Game of Life, using floating point values instead of integers

#24
post #19

Earlier quoted context omitted.

Right - can you still build a UTM in this?

If you could, I imagine that the hard part would be proving it correct.

All you'd really need to do is to find a way to simulate 'regular' (discrete) life. Setting it up would be a major pain.

Re: Conway's Game of Life, using floating point values instead of integers

#26
post #13

Fascinating, totally mesmerizing video. That's reminiscent of something that you could be observing under a microscope.

I wonder what a 3D version (http://www.ibiblio.org/e-notes/Life/Game.htm) of a continuous game of life would look like... could similar cell-like structures emerge with these kind of rules also in 3D.

Re: Conway's Game of Life, using floating point values instead of integers

#29
post #27

Aren't cellular automata in continuous space just PDE's? If so, what is the equation being integrated? EDIT: found the paper: http://arxiv.org/pdf/1111.1567v2.pdf

Not quite; the values at every point are boolean, not floats.

(From the link) The algorithm is explained here: http://www.youtube.com/watch?v=iyTIXRhjXII

Re: Conway's Game of Life, using floating point values instead of integers

#30

Awesome, but the results/behaviour (in the video) don't seem very complex like the original Conway's game of life.

It seems to have much simpler behavior - gliders, bridges, and bricks. Don't think we're going to discover any prime number generators with this version of Life.
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