# Great ditetrahedrofissary dishecatonicosachoron

(Redirected from Gadtifady)

Great ditetrahedrofissary dishecatonicosachoron | |
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Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Gadtifady |

Coxeter diagram | (x3o5/2x3o5/2*a5/3*c)/2 |

Elements | |

Cells | 120 great icosidodecahedra, 120 great dodecicosidodecahedra |

Faces | 2400 triangles, 1440 pentagrams, 720 decagrams |

Edges | 3600 |

Vertices | 600 |

Vertex figure | Compound of 3 rectangular trapezoprisms, edge lengths 1 and (√5–1)/2 (base) and √(5–√5)/2 (sides) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Gid–3–gaddid: 120° |

Gaddid–10/3–gaddid: 108° | |

Gid–5/2–gaddid: 108° | |

Related polytopes | |

Army | Hi |

Regiment | Gadtaxady |

Conjugate | Small ditetrahedrofissary dishecatonicosachoron |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **great ditetrahedrofissary dishecatonicosachoron**, or **gadtifady**, is a nonconvex fissary uniform polychoron that consists of 120 great icosidodecahedra and 120 great dodecicosidodecahedra. 6 great icosidodecahedra and 12 great dodecicosidodecahedra join at each vertex.

It is fissary with vertices coinciding by 3, and edges coinciding by two.

## Vertex coordinates[edit | edit source]

Its vertices are in the same positions as those of its regiment colonel, the grand ditetrahedronary hexacosidishecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#F22).

- Klitzing, Richard. "gadtifady".