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Conway's Game of Life for curved surfaces (2012)

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Re: Conway's Game of Life for curved surfaces (2012)

#12

Post by Aardwolf »

rezmason wrote: post #4
quuxplusone wrote: post #3

The end of the post links to two jsfiddles: > If you want to try out SmoothLife yourself in your browser, I made a few jsFiddles which illustrate the basic principle. Here is a Fourier based implementation that follows the discussion in this article pretty closely: http://jsfiddle.net/mikola/aj2vq/ > I also made a second WebGL/GPU based implementation that uses a discretization similar to that proposed in Rafler’s or…

Same. Looks like the "numeric" JS library is no longer hosted at the URL they link to in their dependency list— I had to replace it with " https://unpkg.com/numeric ", which seems to have fixed it for me.

Where can you see this dependency list? Tried to look everywhere in the jsfiddle UI but don't find it

My best attempt was setting numeric="https://unpkg.com/numeric" in the "Framework attribute" dialog but that did nothing.

EDIT: fixed it by copypasting the numeric.rep code from https://gist.github.com/ftrotter/5605853#file-numeric-1-2-4-... with 'var numeric = {}' in front of it near the top of the JS file

Re: Conway's Game of Life for curved surfaces (2012)

#13

Post by Aardwolf »

Since this is (at least approximately) invariant under continuous shifts, continuous rotations, and time, should there be some kind of conservation of momentum and energy be visible? At least the amount of white/black shade in cells isn't conserved as far as I can tell (unless perhaps the white is spreading out while fading to black over huge distances... but the grid is wraparound here so probably not the case here)

Re: Conway's Game of Life for curved surfaces (2012)

#14

Post by Y_Y »

Aardwolf wrote: post #13

Since this is (at least approximately) invariant under continuous shifts, continuous rotations, and time, should there be some kind of conservation of momentum and energy be visible? At least the amount of white/black shade in cells isn't conserved as far as I can tell (unless perhaps the white is spreading out while fading to black over huge distances... but the grid is wraparound here so probably not the case here)

Assuming you're thinking about applying Noether's theorem, you need your system to have something like a Lagrangian (or be symplectic). From a quick glance it doesn't seem to me that you can write down an action S for the system so it's not clear that you could apply the theorem to get conserved quantities corresponding to the local symmetries of S.

Re: Conway's Game of Life for curved surfaces (2012)

#15

Post by vollmond »

Aardwolf wrote: post #12
rezmason wrote: post #4

Earlier quoted context omitted.

Same. Looks like the "numeric" JS library is no longer hosted at the URL they link to in their dependency list— I had to replace it with " https://unpkg.com/numeric ", which seems to have fixed it for me.

Where can you see this dependency list? Tried to look everywhere in the jsfiddle UI but don't find it My best attempt was setting numeric=" https://unpkg.com/numeric " in the "Framework attribute" dialog but that did nothing. EDIT: fixed it by copypasting the numeric.rep code from https://gist.github.com/ftrotter/5605853#file-numeric-1-2-4-... with 'var numeric = {}' in front of it near the top of the JS file

> Where can you see this dependency list? Tried to look everywhere in the jsfiddle UI but don't find it

"Resources" in the left side menu

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