# Small pental dishecatonicosintercepted hecatonicosachoron

Jump to navigation
Jump to search

Small pental dishecatonicosintercepted hecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Spidhiny |

Elements | |

Cells | |

Faces | |

Edges | 3600 |

Vertices | 720 |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 41040 |

Level of complexity | 89 |

Related polytopes | |

Army | Rox |

Regiment | Ragishi |

Conjugate | Great inverted retropental hecatonicosintercepted dishecatonicosachoron |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Flag count | 115200 |

Euler characteristic | 2520 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Flag orbits | 8 |

Convex | No |

Nature | Wild |

The **small pental dishecatonicosintercepted hecatonicosachoron**, or **spidhiny**, is a nonconvex uniform polychoron that consists of 120 icosahedra, 120 great icosicosidodecahedra and 120 quasitruncated small stellated dodecahedra. Two icosahedra, ten great icosicosidodecahedra, and ten quasitruncated small stellated dodecahedra join at each vertex.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

The vertices are the same as those of its regiment colonel, the rectified great stellated hecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#116).