Pseudo great rhombicuboctahedron

Pseudo-great rhombicuboctahedron
TypePseudo-uniform polyhedron,
Star polyhedron
ElementsF = 26, E = 48
V = 24 (χ = 2)
Faces by sides8{3}+(8+8+2){4}
Symmetry groupD4d
Propertiessingular vertex figure

4.4.4.3/2
Vertex figure

Pseudo-great deltoidal icositetrahedron
(dual polyhedron)

In geometry, the pseudo great rhombicuboctahedron is one of the two pseudo-uniform polyhedra, the other being the convex elongated square gyrobicupola or pseudorhombicuboctahedron. It has the same vertex figure as the nonconvex great rhombicuboctahedron (a uniform polyhedron) but is not a uniform polyhedron and has a smaller symmetry group. It can be obtained from the great rhombicuboctahedron by taking a square face and the 8 faces with a common vertex to it and rotating this by π/4. It is related to the great rhombicuboctahedron in the same way that the pseudo-rhombicuboctahedron is related to the rhombicuboctahedron.

Related polyhedra

The pseudo-great rhombicuboctahedron may also be termed an elongated crossed square gyrobicupola.


Great rhombicuboctahedron

Pseudo-great rhombicuboctahedron

References

External links

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