# Small ditrigonal dodecacronic hexecontahedron

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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 |

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

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 coordinates[edit | edit source]

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

## External links[edit | edit source]

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