"The hexagonal tessellation is combinatorially identical to the close packing of circles on a plane." but still magic
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Replying to @literalbanana @Plinz
if I lost 1 of a set of 8 round things (crayons, say) as a kid I'd be ok bc I could at least make 'em be a hexagon
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Replying to @neurosophic
yes, and it does not work in 3d! at least we have octaplexes as regular tesselations in 4d
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Replying to @Plinz
there's no regular polyhedron that tesselates? cubes don't count?
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Replying to @neurosophic
no, they do, but they suck, because the neighbors are not equidistant
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Replying to @Plinz
is sucky tesselations a property that generalizes to some (n)-D spaces?
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Replying to @neurosophic
I do not know! It seems 4d is quite nice though.
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Replying to @Plinz @literalbanana
there must be like hypergeometers that have dedicated their lifeblood to answering such questions
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Replying to @neurosophic
I am sure they did most of the relevant research ~150 years ago
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Replying to @Plinz
such is the bane of my life ;) but srsly, if you have ready to links to multi-D tesseract math I'd take 'em
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I don't; here is where I would start: https://en.wikipedia.org/wiki/Regular_polytope … @literalbanana
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Replying to @Plinz
::heaves a great sigh:: there's never been a point in life when I wouldn't endorse: "I wish I knew more math"
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