Small rhombihexahedron

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Small rhombihexahedron
Small rhombihexahedron.png
Type Uniform star polyhedron
Elements F = 18, E = 48
V = 24 (χ = 6)
Faces by sides12{4}+6{8}
Wythoff symbol 2 4 (3/2 4/2) |
Symmetry group Oh, [4,3], *432
Index references U 18, C 60, W 86
Dual polyhedron Small rhombihexacron
Vertex figure Small rhombihexahedron vertfig.png
4.8.4/3.8/7
Bowers acronym Sroh
3D model of a small rhombihexahedron Small rhombihexahedron.stl
3D model of a small rhombihexahedron

In geometry, the small rhombihexahedron (or small rhombicube) is a nonconvex uniform polyhedron, indexed as U18. It has 18 faces (12 squares and 6 octagons), 48 edges, and 24 vertices. Its vertex figure is an antiparallelogram.

This polyhedron shares the vertex arrangement with the stellated truncated hexahedron. It additionally shares its edge arrangement with the convex rhombicuboctahedron (having 12 square faces in common) and with the small cubicuboctahedron (having the octagonal faces in common).

Small rhombicuboctahedron.png
Rhombicuboctahedron
Small cubicuboctahedron.png
Small cubicuboctahedron
Small rhombihexahedron.png
Small rhombihexahedron
Stellated truncated hexahedron.png
Stellated truncated hexahedron

It may be constructed as the exclusive or (blend) of three octagonal prisms.

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