# Truncated icosahedral prism

Truncated icosahedral prism | |
---|---|

Schlegel diagram | |

Type | Prismatic uniform polychoron |

Uniform index | 62 |

Schläfli symbol | t_{0,1,3}{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 |

In geometry, a **truncated icosahedral 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 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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