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second most exciting thing i saw today was this shapePermalink Look on archive.org
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if you liked the Penrose tiling, you're gonna love this. it's called "the hat", and it's the einstein people have been looking for.Permalink Look on archive.org
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ok ok, to be less cryptic - you can arrange copies of this shape, and they'll fit together and carry on fitting together forever, without the pattern ever repeating. people had found sets of tiles that could do that before, but it's the first tile that can do that all by itself.Permalink Look on archive.org
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here's a little interactive viewer to generate the tiling, if you wanna play around with it: cs.uwaterloo.ca/~csk/hat/app.htmlPermalink Look on archive.org
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i also learned that you can calculate tile locations of the Penrose tiling in constant time??? wild. apparently it comes down to them being projections of quasicrystals onto the 2d plane? or something?? shadertoy.com/view/XdtBzHLook on archive.org