Small rhombihexahedron

Small rhombihexahedron
TypeUniform star polyhedron
ElementsF = 18, E = 48
V = 24 (χ = 6)
Faces by sides12{4}+6{8}
Wythoff symbol2 4 (3/2 4/2) |
Symmetry groupOh, [4,3], *432
Index referencesU18, C60, W86
Dual polyhedronSmall rhombihexacron
Vertex figure
4.8.4/3.8
Bowers acronymSroh

In geometry, the small rhombihexahedron 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.

Related polyhedra

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).


Rhombicuboctahedron

Small cubicuboctahedron

Small rhombihexahedron

Stellated truncated hexahedron

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

External links

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