# Small invertidipentary hecatonicosihexacosidishecatonicosachoron

Jump to navigation
Jump to search

Small invertidipentary hecatonicosihexacosidishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Side phixady |

Elements | |

Cells | 120 ike, 120 ti, 600 oho, 120 saddid |

Faces | 4800 triangles, 1440 pentagons, 2400 hexagons, 720 decagons |

Edges | 3600+3600 |

Vertices | 1440 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Semi-uniform Tex |

Regiment | Padohi |

Conjugate | Great invertidipentary hecatonicosihexacosidishecatonicosachoron |

Abstract & topological properties | |

Flag count | 172800 |

Euler characteristic | 2640 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **small invertidipentary hecatonicosihexacosidishecatonicosachoron**, or **side phixady**, is a nonconvex uniform polychoron that consists of 120 icosahedra, 120 truncated icosahedra, 600 octahemioctahedra, and 120 small dodecicosidodecahedra. One icosahedron, five truncated icosahedra, five octahemioctahedra, and five small dodecicosidodecahedra 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" (#1021).

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