Compound of three cubes

In geometry, the compound of three cubes is a uniform polyhedron compound formed from three cubes arranged with octahedral symmetry. It has been depicted in works by Max Brückner and M.C. Escher.

Compound of three cubes
TypeUniform compound
IndexUC8
Convex hullNonuniform truncated octahedron
Polyhedra3 cubes
Faces6+12 squares
Edges36
Vertices24
Symmetry groupoctahedral (Oh)
Subgroup restricting to one constituent4-fold prismatic (D4h)
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