Rhombicuboctahedron - Related Polyhedra

Related Polyhedra

The rhombicuboctahedron is one of a family of uniform polyhedra related to the cube and regular octahedron.

Family of uniform octahedral polyhedra
{4,3} t0,1{4,3} t1{4,3} t0,1{3,4} {3,4} t0,2{4,3} t0,1,2{4,3} s{4,3} h0{4,3} h1,2{4,3}

This polyhedron is topologically related as a part of sequence of cantellated polyhedra with vertex figure (3.4.n.4), and continues as tilings of the hyperbolic plane. These vertex-transitive figures have (*n32) reflectional symmetry.

Symmetry Spherical Planar Hyperbolic...
*232

D3h
*332

Td
*432

Oh
*532

Ih
*632

P6m
*732

*832
...
*∞32

Symmetry
order
12 24 48 120
Expanded
figure

3.4.2.4

3.4.3.4

3.4.4.4

3.4.5.4

3.4.6.4

3.4.7.4

3.4.8.4

3.4.∞.4
Coxeter
Schläfli

t0,2{2,3}

t0,2{3,3}

t0,2{4,3}

t0,2{5,3}

t0,2{6,3}

t0,2{7,3}

t0,2{8,3}

t0,2{∞,3}
Deltoidal figure
V3.4.2.4

V3.4.3.4

V3.4.4.4

V3.4.5.4

V3.4.6.4

V3.4.7.4
Coxeter

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