# Great dodecicosahedron

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Great dodecicosahedron | |
---|---|

Rank | 3 |

Type | Uniform |

Notation | |

Bowers style acronym | Giddy |

Elements | |

Faces | 20 hexagons, 12 decagrams |

Edges | 60+60 |

Vertices | 60 |

Vertex figure | Butterfly, edge lengths √3 and √(5–√5)/2 |

Measures (edge length 1) | |

Circumradius | |

Dihedral angles | 6–10/3 #1: |

6–10/3 #2: | |

Central density | even |

Number of external pieces | 912 |

Level of complexity | 56 |

Related polytopes | |

Army | Tid, edge length |

Regiment | Gidditdid |

Dual | Great dodecicosacron |

Conjugate | Small dodecicosahedron |

Convex core | Icosahedron |

Abstract & topological properties | |

Flag count | 480 |

Euler characteristic | –28 |

Orientable | No |

Genus | 30 |

Properties | |

Symmetry | H_{3}, order 120 |

Convex | No |

Nature | Tame |

The **great dodecicosahedron**, or **giddy**, is a uniform polyhedron. It consists of 20 hexagons and 12 decagrams. Two hexagons and two decagrams meet at each vertex.

It is a faceting of the great ditrigonal dodecicosidodecahedron, using its 12 decagrams along with the 20 hexagons of the great icosicosidodecahedron.

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Polyhedron Category 4: Trapeziverts" (#50).

- Klitzing, Richard. "giddy".

- Wikipedia Contributors. "Great dodecicosahedron".
- McCooey, David. "Great Dodecicosahedron"