# Snub hecatonicosachoron

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Snub hecatonicosachoron | |
---|---|

Rank | 4 |

Type | Scaliform |

Notation | |

Bowers style acronym | Shi |

Coxeter diagram | |

Elements | |

Cells | 1440 stappy, 120 seside |

Faces | 2400+7200 triangles, 1440 pentagrams |

Edges | 3600+7200 |

Vertices | 1440 |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | Undefined |

Related polytopes | |

Army | Semi-uniform Tex (0.5356873868)3(0.6180339887)3o5o |

Regiment | Shi |

Conjugate | Retrosnub hecatonicosachoron |

Abstract & topological properties | |

Orientable | No |

Properties | |

Symmetry | H4, order 14400 |

Convex | No |

Nature | Tame |

The **snub hecatonicosachoron**, or **shi**, is a scaliform polychoron. It consists of 120 small snub icosicosidodecahedra and 1440 pentagrammic pyramids. It is notable for having icosahedral snub polyhedra as cells.

## Cross-sections[edit | edit source]

## Related polychora[edit | edit source]

This polychoron can be formed as a holosnub truncated faceted hexacosichoron.

Expanding the seside cells in different ways produces two more scaliform polychora: the prismatorhombisnub hecatonicosachoron and retroprismatorhombisnub hecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category S3: Special Scaliforms" (#S24).