# Small dipentary prismatotetrishecatonicosachoron

Jump to navigation
Jump to search

Small dipentary prismatotetrishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Sidpupthi |

Elements | |

Cells | 120 sissid, 120 gad, 720 stip, 120 ti, 120 ri |

Faces | 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 prismatotetrishecatonicosachoron |

Abstract & topological properties | |

Flag count | 172800 |

Euler characteristic | 1920 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **small dipentary prismatotetrishecatonicosachoron**, or **sidpupthi**, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 great dodecahedra, 720 pentagrammic prisms, 120 truncated icosahedra, and 120 rhombicosahedra. One small stellated dodecahedron, one great dodecahedron, five pentagrammic prisms, five truncated icosahedra, and five rhombicosahedra 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" (#1002).

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