# Blended disnub hexecontatetradisoctachoron

The **blended disnub hexecontatetradisoctachoron**, or **bidsgado**, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+64 octahedra, 64 tetrahemihexahedra, and 32 cubohemioctahedra. One great icosahedron, one icosahedron, eight tetrahedra, ten octahedra, four tetrahemihexahedra, and four cuboctahedra join at each vertex.

Blended disnub hexecontatetradisoctachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Bidsgado |

Elements | |

Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+64 octahedra, 64 tetrahemihexahedra, 32 cubohemioctahedra |

Faces | 1312 triangles, 192 squares, 64 hexagons |

Edges | 288+384+96+48 |

Vertices | 96 |

Measures (edge length 1) | |

Circumradius | 1 |

Related polytopes | |

Army | Sadi |

Regiment | Disdi |

Conjugate | Blended disnub hexecontatetradisoctachoron |

Abstract & topological properties | |

Euler characteristic | 384 |

Orientable | No |

Properties | |

Symmetry | D_{4}+, order 96 |

Convex | No |

It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron, 4 icositetrachora, and 4 hexadecaoctahemihexadecachora. 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

There are other idtessids that the blended disnub hexecontatetradisoctachoron shares blend components with, but whose facets are counted differently. The first of these is the cisblended disnub hexecontatetradisoctachoron.

## External linksEdit

- Bowers, Jonathan. "Category 30: Idtessids" (#1907).

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