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Truncated cube

Truncated hexahedron

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TypeArchimedean
Faces8 triangles
6 octagons
Edges36
Vertices24
Vertex configuration3,8,8
Symmetry groupoctahedral (Oh)
Dual polyhedrontriakis octahedron
Propertiesconvex, semi-regular (vertex-uniform)

The truncated cube, or truncated hexahedron, is an Archimedean solid. Canonical coordinates for the vertices of a truncated hexahedron centered at the origin are (±ξ, ±1, ±1), (±1, ±ξ, ±1) and (±1, ±1, ±ξ), where ξ = √2 − 1.


It has 6 regular octagonal faces, 8 regular triangular faces, 24 vertices and 36 edges.

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