# Great deltoidal hexecontahedron

Jump to navigation
Jump to search

Great deltoidal hexecontahedron | |
---|---|

Rank | 3 |

Type | Uniform dual |

Notation | |

Coxeter diagram | m5/3o3m |

Elements | |

Faces | 60 darts |

Edges | 60+60 |

Vertices | 12+20+30 |

Vertex figure | 20 triangles, 30 squares, 12 pentagrams |

Measures (edge length 1) | |

Inradius | |

Dihedral angle | |

Central density | 13 |

Number of external pieces | 120 |

Related polytopes | |

Dual | Quasirhombicosidodecahedron |

Conjugate | Deltoidal hexecontahedron |

Convex core | Non-Catalan pentakis dodecahedron |

Abstract & topological properties | |

Flag count | 480 |

Euler characteristic | 2 |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | H_{3}, order 120 |

Convex | No |

Nature | Tame |

The **great deltoidal hexecontahedron** is a uniform dual polyhedron. It consists of 60 darts.

It appears the same as the great rhombidodecacron.

If its dual, the quasirhombicosidodecahedron, has an edge length of 1, then the short edges of the darts will measure , and the long edges will be . The dart faces will have length , and width . The darts have two interior angles of , one of , and one of .

## Vertex coordinates[edit | edit source]

A great deltoidal hexecontahedron with dual edge length 1 has vertex coordinates given by all even permutations of:

## External links[edit | edit source]

- Wikipedia contributors. "Great deltoidal hexecontahedron".
- McCooey, David. "Great Deltoidal Hexecontahedron"