Icosidodecahedral prism
# Icosidodecahedral prism

Icosidodecahedral prism :

| Schlegel diagram Only one icosidodecahedron shown ||
| - | - |
| Type | Prismatic uniform polychoron |
| Uniform index | 58 |
| Schläfli symbol | $t_{1,3}{3,5,2}$ or r{3,5}× |
| Coxeter-Dynkin | |
| Cells | 34 total: 2 t1{5,3} 20x{3} 12x{5} |
| Faces | 124 total: 40 {3} 60 {4} 24 {5} |
| Edges | 150 |
| Vertices | 60 |
| Vertex figure | Rectangular pyramid |
| Dual polytope | triacontahedron bipyramid |
| Symmetry group | [5,3,2], order 240 |
| Properties | convex |

In geometry, an icosidodecahedral prism is a convex uniform polychoron (four-dimensional polytope).

It is one of 18 convex uniform polyhedral prisms created by using uniform prisms to connect pairs of parallel Platonic solids or Archimedean solids.

## Alternative names

* Icosidodecahedral dyadic prism (Norman W. Johnson)
* Iddip (Jonathan Bowers: for icosidodecahedral prism)
* Icosidodecahedral hyperprism
