# Rhombic great dishecatonicosachoron

The **rhombic great dishecatonicosachoron**, or **raggady**, is a nonconvex uniform polychoron that consists of 120 truncated great icosahedra, 120 rhombicosahedra, and 720 pentagrammic prisms. 2 of each type of cell join at each vertex.

Rhombic great dishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Raggady |

Elements | |

Cells | 720 pentagrammic prisms, 120 truncated great icosahedra, 120 rhombicosahedra |

Faces | 3600 squares, 1440 pentagrams, 2400 hexagons |

Edges | 3600+7200 |

Vertices | 3600 |

Vertex figure | Butterfly wedge, edge lengths (√5–1)/2 (bases), Template:Radci (sides of outer triangles), and √3 (sides of inner triangles) |

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Tiggy–5/2–stip: 126° |

Ri–4–stip: | |

Ri–6–tiggy: 60° | |

Related polytopes | |

Army | Srahi |

Regiment | Sirgashi |

Conjugate | Rhombic small dishecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | –720 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

## Vertex coordinates edit

The vertices are the same as those of the regiment colonel, the small rhombated grand stellated hecatonicosachoron.

## External links edit

- Bowers, Jonathan. "Category 6: Sphenoverts" (#209).