# Small dipentary hecatonicosihexacosiprismatotrishecatonicosachoron

Jump to navigation
Jump to search

Small dipentary hecatonicosihexacosiprismatotrishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Sidphixipthi |

Elements | |

Cells | 120 sissid, 120 gad, 1200 trip, 600 tut, 120 srid, 120 siid |

Faces | 4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons |

Edges | 3600+3600 |

Vertices | 1440 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Semi-uniform Tex |

Regiment | Padohi |

Conjugate | Great dipentary hecatonicosihexacosiprismatotrishecatonicosachoron |

Abstract & topological properties | |

Flag count | 230400 |

Euler characteristic | 5640 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **small dipentary hecatonicosihexacosiprismatotrishecatonicosachoron**, or **sidphixipthi**, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 great dodecahedra, 1200 triangular prisms, 600 truncated tetrahedra, 120 small rhombicosidodecahedra, and 120 small icosicosidodecahedra. One small stellated dodecahedron, one great dodecahedron, five triangular prisms, five truncated tetrahedra, five small rhombicosidodecahedra, and five small icosicosidodecahedra join at each vertex.

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 21: Padohi Regiment" (#1004).

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