Truncated cube - Definition

Truncated hexahedron
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Type	Archimedean
Faces	8 triangles 6 octagons
Edges	36
Vertices	24
Vertex configuration	3,8,8
Symmetry group	octahedral (Oh)
Dual polyhedron	triakis octahedron
Properties	convex, 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.

Truncated_hexahedron_flat.png
image:truncated hexahedron flat.png

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

See also

• cube
• cuboctahedron
• octahedron
• truncated octahedron

External links

• The Uniform Polyhedra (http://www.mathconsult.ch/showroom/unipoly/)
• Virtual Reality Polyhedra (http://www.georgehart.com/virtual-polyhedra/vp.html) The Encyclopedia of Polyhedra