# Small ditrigonal dodecacronic hexecontahedron

The **small ditrigonal dodecacronic hexecontahedron** is a uniform dual polyhedron. It consists of 60 darts.

Small ditrigonal dodecacronic hexecontahedron | |
---|---|

Rank | 3 |

Type | Uniform dual |

Space | Spherical |

Notation | |

Coxeter diagram | m5/3o3m5*a |

Elements | |

Faces | 60 darts |

Edges | 60+60 |

Vertices | 20+12+12 |

Vertex figure | 20 triangles, 12 pentagrams, 12 decagons |

Measures (edge length 1) | |

Inradius | |

Dihedral angle | |

Central density | 4 |

Number of external pieces | 120 |

Related polytopes | |

Dual | Small ditrigonal dodecicosidodecahedron |

Abstract & topological properties | |

Flag count | 480 |

Euler characteristic | –16 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}, order 120 |

Convex | No |

Nature | Tame |

It appears the same as the small dodecicosacron.

If its dual, the small ditrigonal dodecicosidodecahedron, 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 coordinatesEdit

A small ditrigonal dodecacronic hexecontahedron with dual edge length 1 has vertex coordinates given by all even permutations of:

## External linksEdit

- Wikipedia Contributors. "Small ditrigonal dodecacronic hexecontahedron".
- McCooey, David. "Small Ditrigonal Dodecacronic Hexecontahedron"