# Truncated great icosahedral prism

The **truncated great icosahedral prism** (OBSA: **tiggipe**) is a prismatic uniform polychoron that consists of 2 truncated great icosahedra, 12 pentagrammic prisms, and 20 hexagonal prisms. Each vertex joins 1 truncated great icosahedron, 1 pentagrammic prism, and 2 hexagonal prisms. As the name suggests, it is a prism based on the truncated great icosahedron.

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

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Tiggipe |

Coxeter diagram | x o5/2x3x () |

Elements | |

Cells | |

Faces | 30+60 squares, 24 pentagrams, 40 hexagons |

Edges | 60+60+120 |

Vertices | 120 |

Vertex figure | Sphenoid, edge lengths (√5–1)/2, √3, √3 (base), √2 (legs) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Stip–4–hip: |

Tiggy–5/2–stip: 90° | |

Tiggy–6–hip: 90° | |

Hip–4–hip: | |

Height | 1 |

Central density | 7 |

Number of external pieces | 1194 |

Related polytopes | |

Army | Semi-uniform Sriddip |

Regiment | Tiggipe |

Dual | Great stellapentakis dodecahedral tegum |

Conjugate | Truncated icosahedral prism |

Abstract & topological properties | |

Flag count | 2880 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Flag orbits | 12 |

Convex | No |

Nature | Tame |

## Vertex coordinates edit

Coordinates for the vertices of a truncated great icosahedral prism of edge length 1 are given by all even permutations of the first three coordinates of:

- ,
- ,
- .

## External links edit

- Bowers, Jonathan. "Category 19: Prisms" (#904).

- Klitzing, Richard. "tiggipe".