# Small omnicircumfacetopental trishecatonicosachoron

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Small omnicircumfacetopental trishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Som fapathi |

Elements | |

Cells | 120 ike, 120 id, 120 srid |

Faces | 3600 triangles, 1800 squares, 1440 pentagons |

Edges | 3600 |

Vertices | 720 |

Edge figure | id.srid.srid.ike.srid.srid.id |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 19320 |

Level of complexity | 33 |

Related polytopes | |

Army | Rox |

Regiment | Rox |

Conjugate | Great invertipental trishecatonicosachoron |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **small omnicircumfacetopental trishecatonicosachoron**, or **som fapathi**, is a nonconvex uniform polychoron that consists of 120 icosahedra, 120 icosidodecahedra, and 120 rhombicosidodecahedra.

It is in the regiment of the rectified hexacosichoron.

## Gallery[edit | edit source]

## External links[edit | edit source]

- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#83).