Snub rhombicuboctahedron
The snub rhombicuboctahedron is a polyhedron, constructed as a truncated rhombicuboctahedron. It has 74 faces: 18 squares, and 56 triangles. It can also be called the Conway snub cuboctahedron in but will be confused with the Coxeter snub cuboctahedron, the snub cube.
| Snub rhombicuboctahedron | |
|---|---|
 | |
| Schläfli symbol | srr{4,3} = |
| Conway notation | saC |
| Faces | 74: 8+48 {3} 6+12 {4} |
| Edges | 120 |
| Vertices | 48 |
| Symmetry group | O, [4,3]+, (432) order 24 |
| Dual polyhedron | Pentagonal tetracontoctahedron |
| Properties | convex, chiral |
Related polyhedra
The snub rhombicuboctahedron can be seen in sequence of operations from the cuboctahedron.
| Name | Cubocta- hedron |
Truncated cubocta- hedron |
Snub cubocta- hedron |
Truncated rhombi- cubocta- hedron |
Snub rhombi- cubocta- hedron |
|---|---|---|---|---|---|
| Coxeter | CO (rC) | tCO (trC) | sCO (srC) | trCO (trrC) | srCO (htrrC) |
| Conway | aC | taC = bC | sC | taaC = baC | saC |
| Image |  |
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| Conway | jC | mC | gC | maC | gaC |
| Dual |  |
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References
- John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, ISBN 978-1-56881-220-5
External links
- George Hart's Conway interpreter: generates polyhedra in VRML, taking Conway notation as input
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