# Small spinoprismatodishecatonicosachoron

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Small spinoprismatodishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Snappady |

Elements | |

Cells | 720 pentagonal prisms, 120 dodecahedra, 120 small rhombidodecahedra |

Faces | 3600 squares, 1440 pentagons, 720 decagons |

Edges | 3600+3600 |

Vertices | 2400 |

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

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Doe–5–pip: 162° |

Sird–4–pip: | |

Sird–10–sird: 144° | |

Number of external pieces | 4440 |

Level of complexity | 13 |

Related polytopes | |

Army | Sidpixhi |

Regiment | Sidpixhi |

Conjugate | Great spinoprismatodishecatonicosachoron |

Abstract & topological properties | |

Flag count | 115200 |

Euler characteristic | 0 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **small spinoprismatodishecatonicosachoron**, or **snappady**, is a nonconvex uniform polychoron that consists of 120 dodecahedra, 720 pentagonal prisms, and 120 small rhombidodecahedra. One dodecahedron, three pentagonal prisms, and three small rhombidodecahedra 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 disprismatohexacosihecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 11: Antipodiumverts" (#460).