# Small ditetrahedronary prismatocubihexacosihecatonicosachoron

Jump to navigation
Jump to search

Small ditetrahedronary prismatocubihexacosihecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sadtip caxhi |

Elements | |

Cells | 120 compounds of five cubes, 600 tetrahedra, 120 icosidodecahedra, 720 pentagonal prisms |

Faces | 2400 triangles, 3600 squares, 1440 pentagons |

Edges | 3600 |

Vertices | 600 |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 106920 |

Level of complexity | 211 |

Related polytopes | |

Army | Hi |

Regiment | Sidtaxhi |

Conjugate | Gadtap caxhi |

Abstract & topological properties | |

Flag count | 115200 |

Euler characteristic | 2400 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **small ditetrahedronary prismatocubihexacosihecatonicosachoron**, or **sadtip caxhi**, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), 600 tetrahedra, 120 icosidodecahedra, and 720 pentagonal prisms. Eight cubes (or four compounds), four tetrahedra, six icosidodecahedra, and twelve pentagonal prisms join at each vertex.

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#789).

This article is a stub. You can help Polytope Wiki by expanding it. |