# Cisorthotransbiblended disnub disoctachoron

The **cisorthotransbiblended disnub disoctachoron**, or **cotebab desdo**, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32+32 tetrahemihexahedra, and 16+16 cuboctahedra. One great icosahedron, one icosahedron, eight tetrahedra, eight octahedra, four tetrahemihexahedra, and four cuboctahedra join at each vertex.

Cisorthotransbiblended disnub disoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Cotebab desdo |

Elements | |

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

Faces | 1312 triangles, 192 squares |

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 | 352 |

Orientable | No |

Properties | |

Symmetry | D_{4}+, order 96 |

Convex | No |

It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 8 rectified tesseractihemioctachora. 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 cisorthotransbiblended disnub disoctachoron are the same as those of three other idtessids, differing only in orientation. Those are the:

- cisorthocisbiblended disnub disoctachoron,
- transorthocisbiblended disnub disoctachoron,
- transorthotransbiblended disnub disoctachoron.

There are other idtessids that it shares blend components with, but that have different facet counts. Those are the:

## External linksEdit

- Bowers, Jonathan. "Category 30: Idtessids" (#1898).

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