A three-dimensional geometric solid with 48 equilateral triangular faces, 72 edges, and 26 vertices.
From hex- (six) + octa- (eight) + -hedron (face). The term was coined in mathematical geometry to describe polyhedra with specific symmetry properties, combining Greek numerical prefixes with the solid geometry suffix.
The hexoctahedron is a mathematical object so perfectly symmetrical that it appears in Nature's own geometry—certain atomic structures and crystal formations follow this pattern because it minimizes energy.
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