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modifying snm

Just had an idea how to modify snm in an interesting way, in order to get "the good stuff back" from GoL. What if we take our usual snm and put a filter over it, letting through only the stuff at integer positions and setting to 0 the stuff in between?

So, for instance one could define a 2D gaussian bump at positions n,m in snm such that if we take

(gaussian(3,0) + gaussian(2,1) + gaussian (3,1))*snm

we would get the GoL rules in a smooth way. Of course the widths of the gaussian would have to be adjusted.

Or we simply could set to 0 all stripes between integer locations. We would have 8 such stripes in the n direction and one in the m direction. Of course again in a smooth way, not with hard steps. Maybe we even could use a sine function for this.

Just an idea. I haven't tried it, and probably won't in the near future, because I'm a bit fed up with SmoothLife right now. But that's normal, don't worry. My love for it will come back, and then there will be a bunch of new stuff implemented. That's how it has always been. Can sometimes take years...

Posted by ionreq 2012-05-08

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