High Quality Content by WIKIPEDIA articles! In five dimensional geometry, a hexateron, or hexa-5- tope, is a 5-simplex, a self-dual regular 5-polytope with 6 vertices, 15 edges, 20 triangle faces, 15 tetrahedral cells, and 6 pentachoron hypercells. It has a dihedral angle of cos?1(1/5), or approximately 78.46°. The name hexateron is derived from hexa- for having six facets and teron (with ter- being a corruption of tetra-) for having four-dimensional facets.

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