# Great quasiprismatodishexadecachoron

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Great quasiprismatodishexadecachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Gaquipadah |

Elements | |

Cells | 16 tetrahedra, 32 triangular prisms, 16 cubes, 8 octagrammic prisms |

Faces | 64 triangles, 32+32+64 squares, 8 octagrams |

Edges | 32+32+64+64 |

Vertices | 64 |

Vertex figure | Blend of triangluar retroantipodium and digonal disphenoid |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Cube–4–stop: 90° |

Stop–8/3–stop: 90° | |

Trip–4–stop: | |

Cube–4–trip: | |

Tet–3–trip: 30° | |

Related polytopes | |

Army | Tat |

Regiment | Gittith |

Conjugate | Inverted quasiprismatodishexadecachoron |

Convex core | Hexadecachoron |

Abstract & topological properties | |

Euler characteristic | 8 |

Orientable | Yes |

Properties | |

Symmetry | B_{2}≀S_{2}, order 128 |

Convex | No |

Nature | Wild |

The **great quasiprismatodishexadecachoron**, or **gaquipadah**, is a nonconvex uniform polychoron consisting of 16 regular tetrahedra, 24 triangular prisms, 16 cubes, and 8 octagrammic prisms. 1 tetrahedron, 3 triangular prisms, 2 cubes, and 2 octagrammic prisms meet each vertex. It can be created by blending a quasidisprismatotesseractihexadecachoron with an octagrammic diorthoprism, the inscribed compound of 2 square-octagrammic duoprisms. In the process 16 cubical cells blend out.

## 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 20: Miscellaneous" (#984).

- Klitzing, Richard. "gaquipadah".