# Small spinoprismatotesseractioctachoron

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Small spinoprismatotesseractioctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Snipto |

Elements | |

Cells | 8+24 cubes, 8 small rhombihexahedra |

Faces | 48+96 squares, 24 octagons |

Edges | 96+96 |

Vertices | 64 |

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

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Cube–4–cube: 135° |

Sroh–8–sroh: 90° | |

Sroh–4–cube: 90° | |

Number of external pieces | 128 |

Level of complexity | 13 13 |

Related polytopes | |

Army | Sidpith |

Regiment | Sidpith |

Conjugate | Great spinoprismatotesseractioctachoron |

Abstract & topological properties | |

Flag count | 3072 |

Euler characteristic | 0 |

Orientable | No |

Properties | |

Symmetry | B_{4}, order 384 |

Convex | No |

Nature | Wild |

The **small spinoprismatotesseractioctachoron**, or **snipto**, is a nonconvex uniform polychoron that consists of 8+24 cubes and 8 small rhombihexahedra. Four cubes and three small rhombihexahedra join at each vertex.

It can be constructed as a blend of six square-octagonal duoprisms. In the process some of the cubes blend out, while the octagonal prisms blend into small rhombihexahedra.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 11: Antipodiumverts" (#453).