# Great spinoprismatotesseractioctachoron

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Great spinoprismatotesseractioctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Gnipto |

Elements | |

Cells | 8+24 cubes, 8 great rhombihexahedra |

Faces | 48+96 squares, 24 octagrams |

Edges | 96+96 |

Vertices | 64 |

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

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Groh–8/3–groh: 90° |

Groh–4–cube: 90° | |

Cube–4–cube: 45° | |

Number of external pieces | 5592 |

Level of complexity | 559 |

Related polytopes | |

Army | Tat |

Regiment | Gittith |

Conjugate | Small spinoprismatotesseractioctachoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | No |

Properties | |

Symmetry | B_{4}, order 384 |

Convex | No |

Nature | Wild |

The **great spinoprismatotesseractioctachoron**, or **gnipto**, is a nonconvex uniform polychoron that consists of 8 great rhombihexahedra and 32 cubes. Three great rhombihexahedra and four cubes join at each vertex.

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

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the great tesseractitesseractihexadecachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 12: Podiumverts" (#490).