# Great tripesic dodecahedronary dishecatonicosachoron

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Great tripesic dodecahedronary dishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Gitpodady |

Coxeter diagram | o5o3o5x3/2*b () |

Elements | |

Cells | 120 icosahedra, 120 great ditrigonary icosidodecahedra |

Faces | 2400 triangles, 720 pentagons |

Edges | 1200 |

Vertices | 120 |

Vertex figure | Fissary quasitruncated icosahedron, edge lengths (1+√5)/2 (edges of pentagons) and 1 (remaining edges) |

Measures (edge length 1) | |

Circumradius | 1 |

Hypervolume | |

Dichoral angles | Gidtid–5–gidtid: 144° |

Gidtid–3–ike: 60° | |

Central density | 80 |

Related polytopes | |

Army | Ex, edge length |

Regiment | Sishi |

Conjugate | Small tripesic dodecahedronary dishecatonicosachoron |

Abstract & topological properties | |

Flag count | 43200 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **great tripesic dodecahedronary dishecatonicosachoron**, or **gitpodady**, is a nonconvex fissary uniform polychoron that consists of 120 regular icosahedra and 120 great ditrigonary icosidodecahedra. 12 icosahedra and 20 great ditrigonary icosidodecahedra join at each vertex.

It is fissary due to the fact the edges coincide by 3, with a compound edge figure.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small stellated hecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 17: Sishi Regiment" (#F10).

- Klitzing, Richard. "gitpodady".