# Medial icosacronic hexecontahedron

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Medial icosacronic hexecontahedron | |
---|---|

Rank | 3 |

Type | Uniform dual |

Space | Spherical |

Notation | |

Coxeter diagram | o5/3m3m5*a |

Elements | |

Faces | 60 darts |

Edges | 60+60 |

Vertices | 12+12+20 |

Vertex figure | 12 pentagons, 12 pentagrams, 20 hexagons |

Measures (edge length 1) | |

Inradius | |

Dihedral angle | |

Central density | 4 |

Number of external pieces | 180 |

Related polytopes | |

Dual | Icosidodecadodecahedron |

Abstract & topological properties | |

Flag count | 480 |

Euler characteristic | –16 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}, order 120 |

Convex | No |

Nature | Tame |

The **medial icosacronic hexecontahedron** is a uniform dual polyhedron. It consists of 60 darts.

If its dual, the icosidodecadodecahedron, 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 2. The darts have two interior angles of , one of , and one of .

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Wikipedia Contributors. "Medial icosacronic hexecontahedron".
- McCooey, David. "Medial Icosacronic Hexecontahedron"