# Quasidisprismatohexacosihecatonicosachoron

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Quasidisprismatohexacosihecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Quidpixhi |

Coxeter diagram | x5/3o3o3x () |

Elements | |

Cells | 600 tetrahedra, 1200 triangular prisms, 720 pentagrammic prisms, 120 great stellated dodecahedra |

Faces | 2400 triangles, 3600 squares, 1440 pentagrams |

Edges | 3600+3600 |

Vertices | 2400 |

Vertex figure | Triangular retroantipodium, edge lengths 1 (large base), (√5–1)/2 (small base), and √2 (sides) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Tet–3–trip: |

Gissid–5/2–stip: 54° | |

Stip–4–trip: | |

Number of external pieces | 1067040 |

Level of complexity | 4996 |

Related polytopes | |

Army | Sidpixhi |

Regiment | Gixhihy |

Conjugate | Small disprismatohexacosihecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **quasidisprismatohexacosihecatonicosachoron**, or **quidpixhi**, is a nonconvex uniform polychoron that consists of 600 regular tetrahedra, 120 great stellated dodecahedra, 1200 triangular prisms, and 720 pentagrammic prisms. 1 tetrahedron, 1 great stellated dodecahedron, 3 triangular prisms, and 3 pentagrammic prisms join at each vertex. It is the result of pushing the cells of either a great grand stellated hecatonicosachoron or a grand hexacosichoron inwards.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the great hexacosihecatonicosihecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 12: Podiumverts" (#499).

- Klitzing, Richard. "quidpixhi".