Truncated icosahedral prism
In geometry, a truncated icosahedral prism is a convex uniform polychoron (four-dimensional polytope).
| Truncated icosahedral prism | |
|---|---|
![]() Schlegel diagram | |
| Type | Prismatic uniform polychoron |
| Uniform index | 62 |
| Schläfli symbol | t0,1,3{3,5,2} or t{3,5}×{} |
| Coxeter-Dynkin | |
| Cells | 34 total: |
| Faces | 154 total: 90 {4} 24 {5} 40 {6} |
| Edges | 240 |
| Vertices | 120 |
| Vertex figure | ![]() Isosceles-triangular pyramid |
| Symmetry group | [5,3,2], order 240 |
| Properties | convex |
It is one of 18 convex uniform polyhedral prisms created by using uniform prisms to connect pairs of Platonic solids or Archimedean solids in parallel hyperplanes.
Alternative names
- Truncated-icosahedral dyadic prism (Norman W. Johnson)
- Tipe (Jonathan Bowers: for truncated-icosahedral prism)
- Truncated-icosahedral hyperprism
See also
External links
- 6. Convex uniform prismatic polychora - Model 62, George Olshevsky.
- Klitzing, Richard. "4D uniform polytopes (polychora) x x3o5x - tipe".
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