# Small dodecicosacron

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Small dodecicosacron | |
---|---|

Rank | 3 |

Type | Uniform dual |

Space | Spherical |

Elements | |

Faces | 60 bowties |

Edges | 60+60 |

Vertices | 20+12 |

Vertex figure | 20 hexagons, 12 decagons |

Measures (edge length 1) | |

Inradius | |

Dihedral angle | |

Central density | even |

Number of external pieces | 120 |

Related polytopes | |

Dual | Small dodecicosahedron |

Abstract & topological properties | |

Flag count | 480 |

Euler characteristic | –28 |

Orientable | No |

Properties | |

Symmetry | H_{3}, order 120 |

Convex | No |

Nature | Tame |

The **small dodecicosacron** is a uniform dual polyhedron. It consists of 60 bowties.

It appears the same as the small ditrigonal dodecacronic hexecontahedron.

If its dual, the small dodecicosahedron, has an edge length of 1, then the short edges of the bowties will measure , and the long edges will be . The bowties have two interior angles of , and two of . The intersection has an angle of .

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Wikipedia Contributors. "Small dodecicosacron".
- McCooey, David. "Small Dodecicosacron"