# Great hecatonicosafaceted hecatonicosihexacosihecatonicosachoron

(Redirected from Gohi fohixhi)

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Great hecatonicosafaceted hecatonicosihexacosihecatonicosachoron | |
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Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Gohi fohixhi |

Elements | |

Cells | 600 tetrahedra, 120 quasitruncated small stellated dodecahedra, 120 great ditrigonal dodecicosidodecahedra |

Faces | 2400 triangles, 1440 pentagons, 1440 pentagrams |

Edges | 3600+3600 |

Vertices | 2400 |

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

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Gidditdid–10/3–quit sissid: 72° |

Gidditdid–3–tet: | |

Gidditdid–5–quit sissid: 90° | |

Number of external pieces | 126600 |

Level of complexity | 349 |

Related polytopes | |

Army | Semi-uniform Sidpixhi |

Regiment | Gixhidy |

Conjugate | Small hecatonicosafaceted hecatonicosihexacosihecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | –360 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **great hecatonicosafaceted hecatonicosihexacosihecatonicosachoron**, or **gohi fohixhi**, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 quasitruncated small stellated dodecahedra, and 120 great ditrigonal dodecicosidodecahedra. One tetrahedron, three quasitruncated small stellated dodecahedra, and three great ditrigonal dodecicosidodecahedra join at each vertex.

It also has 120 quasitruncated great stellated dodecahedra and 120 dodecahedra as pseudofacets.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 11: Antipodiumverts" (#476).