# Great tripesic hecatonicosachoron

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Great tripesic hecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Gitphi |

Coxeter diagram | (o5x5/3x5o)/2 (/2) |

Elements | |

Cells | 120 quasitruncated small stellated dodecahedra |

Faces | |

Edges | 3600 |

Vertices | 1800 (as 600 fissary) |

Vertex figure | Compound of 3 tetragonal disphenoids, edge lengths (1+√5)/2 (base) and √(5–√5)/2 (sides) |

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Hypervolume | |

Dichoral angle | Quit sissid–5–quit sissid: 144° Quit sissid–10/3–quit sissid: 36° |

Central density | 183 |

Related polytopes | |

Army | Hi |

Regiment | Gadtaxady |

Conjugate | Small tripesic hecatonicosachoron |

Abstract & topological properties | |

Flag count | 43200 |

Euler characteristic | –1680 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Flag orbits | 3 |

Convex | No |

Nature | Tame |

The **great tripesic hecatonicosachoron**, or **gitphi**, is a nonconvex noble fissary uniform polychoron that consists of 120 quasitruncated small stellated dodecahedra as cells. 12 cells join at each vertex.

It is fissary due to having a compound vertex figure, specifically a compound of three disphenoids. It shares its edges with the grand ditetrahedronary hexacosidishecatonicosachoron.

A double cover of this polychoron can be seen as the biquasitruncated great hecatonicosachoron.

## Cross sections[edit | edit source]

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the grand ditetrahedronary hexacosidishecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 7: Bitruncates" (#F2).

- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#F2).

- Klitzing, Richard. "gitphi".