# Small spinotrishecatonicosachoron

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Small spinotrishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Snathi |

Elements | |

Cells | 120 great stellated dodecahedra, 120 truncated great icosahedra, 120 small dodecicosahedra |

Faces | 1440 pentagrams, 2400 hexagons, 720 decagons |

Edges | 3600+3600 |

Vertices | 2400 |

Vertex figure | Triangular crown, edge lengths (√5–1)/2 (top triangle), √3 (side edges of triangles), and √(5+√5)/2 (edges between butterflies) |

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Gissid–5/2–tiggy: 144° |

Siddy–6–tiggy: 120° | |

Siddy–10–siddy: 72° | |

Number of external pieces | 103560 |

Level of complexity | 325 |

Related polytopes | |

Army | Semi-uniform Sidpixhi |

Regiment | Sadixady |

Conjugate | Great spinotrishecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | –600 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **small spinotrishecatonicosachoron**, or **snathi**, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 120 truncated great icosahedra, and 120 small dodecicosahedra. One great stellated dodecahedron, three truncated great icosahedra, and three small dodecicosahedra join at each vertex.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small dishexacosidishecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 11: Antipodiumverts" (#473).