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