This is some way from what this blog is supposed to be about, but like many packing problems it is fascinating and difficult. The question: How densely can regular tetrahedra be packed in 3-dimensional Euclidean space? Nobody knows, but here are some very interesting packings...
[1005.0011] Exact Constructions of a Family of Dense Periodic Packings of Tetrahedra
Tuesday, May 04, 2010
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