# Great complex rhombicosidodecahedron

Jump to navigation
Jump to search

Great complex rhombicosidodecahedron | |
---|---|

Rank | 3 |

Type | Uniform |

Notation | |

Bowers style acronym | Gicdatrid |

Coxeter diagram | x3/2o5x () |

Elements | |

Faces | 20 triangles, 30 squares, 12 pentagons |

Edges | 60+60 |

Vertices | 20 |

Edge figure | Tetrad |

Measures (edge length 1) | |

Circumradius | |

Central density | 11 |

Related polytopes | |

Army | Doe, edge length |

Regiment | Sidtid |

Conjugate | Small complex rhombicosidodecahedron |

Convex hull | Dodecahedron |

Abstract & topological properties | |

Euler characteristic | -38 |

Properties | |

Symmetry | H_{3}, order 120 |

Convex | No |

The **great complex rhombicosidodecahedron** is a degenerate uniform exotic polyhedroid. It can be seen as a compound of a great ditrigonary icosidodecahedron and a rhombihedron, the compound of 5 cubes, with their edges merging into tetradic edges.

## External links[edit | edit source]

- Klitzing, Richard. "gicdatrid".