# Great retroditetrahedronary prismatodishecatonicosachoron

The **great retroditetrahedronary prismatodishecatonicosachoron**, or **gird tapady**, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 720 pentagrammic prisms, and 120 rhombidodecadodecahedra. Four great ditrigonary icosidodecahedra, twelve pentagrammic prisms, and twelve rhombidodecadodecahedra join at each vertex.

Great retroditetrahedronary prismatodishecatonicosachoron | |
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Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Gird tapady |

Elements | |

Cells | 120 gidtid, 720 stip, 120 raded |

Faces | 1200 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams |

Edges | 3600 |

Vertices | 600 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Hi |

Regiment | Dattady |

Conjugate | Retroinverted ditetrahedronary prismatodishecatonicosachoron |

Abstract & topological properties | |

Flag count | 129600 |

Euler characteristic | 3720 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

## Vertex coordinates edit

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

## External links edit

- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#829).

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