# Great cubicuboctahedron

Great cubicuboctahedron
Type Uniform star polyhedron
Elements F = 20, E = 48
V = 24 (χ = −4)
Faces by sides 8{3}+6{4}+6{8/3}
Wythoff symbol 3 4 | 4/3
4 3/2 | 4
Symmetry group Oh, [4,3], *432
Index references U14, C50, W77
Dual polyhedron Great hexacronic icositetrahedron
Vertex figure
3.8/3.4.8/3
Bowers acronym Gocco

In geometry, the great cubicuboctahedron is a nonconvex uniform polyhedron, indexed as U14.

## Related polyhedra

It shares the vertex arrangement with the convex truncated cube and two other nonconvex uniform polyhedra. It additionally shares its edge arrangement with the nonconvex great rhombicuboctahedron (having the triangular faces and 6 square faces in common), and with the great rhombihexahedron (having the octagrammic faces in common).

 Truncated cube Nonconvex great rhombicuboctahedron Great cubicuboctahedron Great rhombihexahedron

### Great hexacronic icositetrahedron

Great hexacronic icositetrahedron
Type Star polyhedron
Face
Elements F = 24, E = 48
V = 20 (χ = −4)
Symmetry group Oh, [4,3], *432
Index references DU14
dual polyhedron Great cubicuboctahedron

The great hexacronic icositetrahedron is the dual of the great cubicuboctahedron.