# Orthocisbiblended disnub disoctachoron

The **orthocisbiblended disnub disoctachoron**, or **ocbibadesdo**, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+64 octahedra, 64 tetrahemihexahedra, and 16 cuboctahedra. One great icosahedron, one icosahedron, eight tetrahedra, ten octahedra, four tetrahemihexahedra, and two cuboctahedra join at each vertex.

Orthocisbiblended disnub disoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Ocbibadesdo |

Elements | |

Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+64 octahedra, 64 tetrahemihexahedra, 16 cuboctahedra |

Faces | 1376 triangles, 144 squares |

Edges | 288+384+96+48 |

Vertices | 96 |

Measures (edge length 1) | |

Circumradius | 1 |

Related polytopes | |

Army | Sadi |

Regiment | Disdi |

Conjugate | Orthotransbiblended disnub disoctachoron |

Abstract & topological properties | |

Euler characteristic | 352 |

Orientable | No |

Properties | |

Symmetry | B_{4}/2, order 192 |

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 coordinates edit

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

## Related polychora edit

The blend components of the orthocisbiblended disnub disoctachoron are the same as several other idtessids, differing in orientation and resultant facet counts. Those are the:

## External links edit

- Bowers, Jonathan. "Category 30: Idtessids" (#1863).

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