# Great hecatonicosafaceted prismatohecatonicosihexacosichoron

(Redirected from Ghif phix)

Jump to navigation
Jump to search
Great hecatonicosafaceted prismatohecatonicosihexacosichoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Ghif phix |

Elements | |

Cells | 600 tetrahedra, 720 pentagrammic prisms, 120 quasirhombicosidodecahedra |

Faces | 2400 triangles, 3600 squares, 1440 pentagrams |

Edges | 3600+3600 |

Vertices | 2400 |

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

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Qrid–4–stip: |

Qrid–3–tet: | |

Qrid–5/2–stip: 54° | |

Number of external pieces | 171600 |

Level of complexity | 652 |

Related polytopes | |

Army | Sidpixhi |

Regiment | Gixhihy |

Conjugate | Small hecatonicosafaceted prismatohecatonicosihexacosichoron |

Abstract & topological properties | |

Euler characteristic | 1200 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **great hecatonicosafaceted prismatohecatonicosihexacosichoron**, or **ghif phix**, is a nonconvex uniform polychoron that consists of 120 quasirhombicosidodecahedra, 600 tetrahedra, and 720 pentagrammic prisms. Three quasirhombicosidodecahedra, one tetrahedron, and three pentagrammic prisms join at each vertex.

It also has 120 great stellated dodecahedra and 1200 triangular 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" (#501).