# Antitruncated great icosahedron

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Antitruncated great icosahedron | |
---|---|

Rank | 3 |

Type | Semi-uniform |

Elements | |

Faces | 20 propeller tripods, 12 pentagrams |

Edges | 60+30 |

Vertices | 60 |

Related polytopes | |

Army | Ti |

Dual | Antiapiculated great stellated dodecahedron |

Convex core | Icosahedron |

Abstract & topological properties | |

Euler characteristic | 2 |

Orientable | Yes |

Genus | 0 |

Properties | |

Convex | No |

Nature | Tame |

The **antitruncated great icosahedron** or **inflected truncated great icosahedron** is a semi-uniform polyhedron. It is both the antitruncation of the great icosahedron and a faceting of the truncated icosahedron. It consists of 20 propeller tripods and 12 pentagrams, with an isosceles triangle vertex figure and 1 pentagram and 2 propeller tripods at a vertex.

## Vertex coordinates[edit | edit source]

The coordinates of the antitruncated great icosahedron are the same as the truncated icosahedron, being all permutations and changes of sign of

## Variations[edit | edit source]

The antitruncated great icosahedron is part of a teepee where the great icosahedron is antitruncated by a different amount.