# Great hexacosifaceted prismatodishecatonicosachoron

(Redirected from Gix fipady)

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Great hexacosifaceted prismatodishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Gix fipady |

Elements | |

Cells | 1200 triangular prisms, 120 great stellated dodecahedra, 120 quasirhombicosidodecahedra |

Faces | 2400 triangles, 3600 squares, 1440 pentagrams |

Edges | 3600+3600 |

Vertices | 2400 |

Vertex figure | Triangular hemipodium, edge lengths (√5–1)/2 (top triangle), 1 (base pseudo-triangle), and √2 (sides) |

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Qrid–5/2–gissid: 72° |

Qrid–4–trip: | |

Qrid–3–trip: 30° | |

Number of external pieces | 792120 |

Level of complexity | 3048 |

Related polytopes | |

Army | Sidpixhi |

Regiment | Gixhihy |

Conjugate | Small hexacosifaceted prismatodishecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | 1200 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **great hexacosifaceted prismatodishecatonicosachoron**, or **gix fipady**, is a nonconvex uniform polychoron that consists of 120 quasirhombicosidodecahedra, 120 great stellated dodecahedra, and 1200 triangular prisms. Three quasirhombicosidodecahedra, one great stellated dodecahedra, and three triangular prisms join at each vertex.

It also has 600 tetrahedra and 720 pentagrammic prisms as pseudofacets.

## 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" (#502).