# Great pentagonal retroprismatoverted dishecatonicosachoron

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Great pentagonal retroprismatoverted dishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Giprapivady |

Coxeter diagram | (x5x5/2o5o5/3*a)/2 |

Elements | |

Cells | 120 small stellated dodecahedra, 120 truncated great dodecahedra |

Faces | 1440 pentagrams, 720 decagons |

Edges | 3600 |

Vertices | 720 |

Vertex figure | Pentagonal retroprism, edge lengths (√5–1)/2 (base) and √(5+√5)/2 (side) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Tigid–10–tigid: 72° |

Sissid–5/2–tigid: 36° | |

Central density | 126 |

Number of external pieces | 46920 |

Level of complexity | 101 |

Related polytopes | |

Army | Rox |

Regiment | Righi |

Conjugate | Small pentagrammal antiprismatoverted dishecatonicosachoron |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | –960 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **great pentagonal retroprismatoverted dishecatonicosachoron**, or **giprapivady**, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra and 120 truncated great dodecahedra. 2 small stellated dodecahedra and 10 truncated great 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 hecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#91).

- Klitzing, Richard. "giprapivady".