# Grand ditetrahedronary prismatocubidishecatonicosachoron

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Grand ditetrahedronary prismatocubidishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Gadtapacady |

Elements | |

Cells | 120 gissid, 120 gid, 600 cube, 1200 trip |

Faces | 2400 triangles, 3600 squares, 1440 pentagrams |

Edges | 3600 |

Vertices | 600 |

Measures (edge length 1) | |

Circumradius | |

Number of pieces | 336120 |

Level of complexity | 1110 |

Related polytopes | |

Army | Hi |

Regiment | Gadtaxady |

Conjugate | Sadtipacady |

Abstract properties | |

Euler characteristic | 2400 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

Discovered by | {{{discoverer}}} |

The **grand ditetrahedronary prismatocubidishecatonicosachoron**, or **gadtapacady**, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 120 great icosidodecahedra, 600 cubes, and 1200 triangular prisms. Four great stellated dodecahedra, six great icosidodecahedra, eight cubes, and twelve triangular prisms join at each vertex.

## 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 18: Ditetrahedrals" (#864).

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