recently I realized that you can turn a cube into a tetrahedron by slicing off four corners. each corner becomes an equilateral face, but the cool part is that each edge corresponds to the diagonal of a cube face. six edges. guess what that means? edge-to-edge, tetrahedra "tesselate" like cubes! quotes because they would leave big octahedron-shaped gaps around all those corners you sliced off earlier. but you wouldn't see the gaps, so maybe you could call it "visual tesselation". is that a thing?
PS: all the above I have learned purely through mental visualization. if you try actually playing with matrices of tetrahedra as I described, PLEASE toot me back! I want to see it. maybe I'll write something up, but my coding time is limited these days.
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