# Cisthyridoblended disnub triacontadiadisoctachoron

The **cisthyridoblended disnub triacontadiadisoctachoron**, or **cayobidestado**, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32+32 octahedra, 32 tetrahemihexahedra, 16 octahemioctahedra, and 16 cubohemioctahedra. One great icosahedron, one icosahedron, eight tetrahedra, ten octahedra, two tetrahemihexahedra, two octahemioctahedra and two cubohemioctahedra join at each vertex.

Cisthyridoblended disnub triacontadiadisoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Cayobidestado |

Elements | |

Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32+32 octahedra, 32 tetrahemihexahedra, 16 octahemioctahedra, 16 cubohemioctahedra |

Faces | 1312 triangles, 96 squares, 64 hexagons |

Edges | 288+384+96+48 |

Vertices | 96 |

Measures (edge length 1) | |

Circumradius | 1 |

Related polytopes | |

Army | Sadi |

Regiment | Disdi |

Conjugate | None |

Abstract & topological properties | |

Euler characteristic | 336 |

Orientable | No |

Properties | |

Symmetry | D_{4}+, order 96 |

Convex | No |

It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 4 hexadecaoctadishemioctachora. In the process, some of the octahedron cells blend out.

## Vertex coordinatesEdit

Its vertices are the same as those of its regiment colonel, the disnub disicositetrachoron.

## Related polychoraEdit

The blend components and facet counts of the cisthyridoblended disnub triacontadiadisoctachoron are the same as those of three other idtessids, differing only in orientation. Those are the:

## External linksEdit

- Bowers, Jonathan. "Category 30: Idtessids" (#1885).

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