# Small dodecacronic hexecontahedron

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

Rank | 3 |

Type | Uniform dual |

Notation | |

Coxeter diagram | m3/2o5m5*a |

Elements | |

Faces | 60 darts |

Edges | 60+60 |

Vertices | 12+12+20 |

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

Measures (edge length 1) | |

Inradius | |

Dihedral angle | |

Central density | 2 |

Number of external pieces | 120 |

Related polytopes | |

Dual | Small dodecicosidodecahedron |

Conjugate | Great dodecacronic hexecontahedron |

Convex core | Deltoidal hexecontahedron |

Abstract & topological properties | |

Flag count | 480 |

Euler characteristic | –16 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}, order 120 |

Convex | No |

Nature | Tame |

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

It appears the same as the small rhombidodecacron.

If its dual, the small 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 dodecacronic hexecontahedron with dual edge length 1 has vertex coordinates given by all even permutations of:

## External links[edit | edit source]

- Wikipedia contributors. "Small dodecacronic hexecontahedron".
- McCooey, David. "Small Dodecacronic Hexecontahedron"