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

Read more about this topic:  Rhombicuboctahedron

Famous quotes containing the word related:

    “The custard is setting; meanwhile
    I not only have my own history to worry about
    But am forced to fret over insufficient details related to large
    Unfinished concepts that can never bring themselves to the point
    Of being, with or without my help, if any were forthcoming.”
    —John Ashbery (b. 1927)