Compound of six tetrahedra

Compound of six tetrahedra
TypeUniform compound
Convex hullNonuniform truncated octahedron
IndexUC3
Polyhedra6 tetrahedra
Faces24 triangles
Edges36
Vertices24
Symmetry groupoctahedral (Oh)
Subgroup restricting to one constituent2-fold antiprismatic (D2d)

This uniform polyhedron compound is a symmetric arrangement of 6 tetrahedra. It can be constructed by inscribing a stella octangula within each cube in the compound of three cubes, or by stellating each octahedron in the compound of three octahedra.

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