# Grand ditetrahedronary disprismatohecatonicosachoron

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Grand ditetrahedronary disprismatohecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Gadtadaphi |

Elements | |

Cells | 120 gid, 720 stip, 1200 trip |

Faces | 2400 triangles, 3600 squares, 1440 pentagrams |

Edges | 3600 |

Vertices | 600 |

Measures (edge length 1) | |

Circumradius | |

Number of pieces | 489000 |

Level of complexity | 1490 |

Related polytopes | |

Army | Hi |

Regiment | Gadtaxady |

Conjugate | Sidtadphi |

Abstract properties | |

Euler characteristic | 2400 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Feral |

Discovered by | {{{discoverer}}} |

The **grand ditetrahedronary disprismatohecatonicosachoron**, or **gadtadaphi**, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 720 pentagrammic prisms, and 1200 triangular prisms. Six great icosidodecahedra, twelve pentagrammic prisms, 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" (#859).

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