# Great pentagrammal antiprismatoverted dishecatonicosachoron

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Great pentagrammal antiprismatoverted dishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Gippapivady |

Coxeter diagram | (x3o5/2o3x5/3*a)/2 |

Elements | |

Cells | 120 great icosahedra, 120 quasitruncated great stellated dodecahedra |

Faces | 2400 triangles, 720 decagrams |

Edges | 3600 |

Vertices | 720 |

Vertex figure | Pentagrammic antiprism, edge lengths 1 (base) and √(5–√5)/2 (side) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Gike–3–quit gissid: 120° |

Quit gissid–10/3–quit gissid: 108° | |

Central density | 182 |

Number of external pieces | 23040 |

Level of complexity | 46 |

Related polytopes | |

Army | Rox |

Regiment | Rigfix |

Conjugate | Small pentagonal retroprismatoverted dishecatonicosachoron |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **great pentagrammal antiprismatoverted dishecatonicosachoron**, or **gippapivady**, is a nonconvex uniform polychoron that consists of 120 great icosahedra and 120 quasitruncated great stellated dodecahedra. 2 great icosahedra and 10 quasitruncated great stellated dodecahedra join at each vertex.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the rectified great faceted hexacosichoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#120).

- Klitzing, Richard. "gippapivady".