# Antitruncated small stellated dodecahedron

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Antitruncated small stellated dodecahedron | |
---|---|

Rank | 3 |

Type | Semi-uniform |

Elements | |

Faces | 12 pentagons, 12 propeller stellapods |

Edges | 60+30 |

Vertices | 60 |

Related polytopes | |

Army | Ti |

Dual | Antiapiculated great dodecahedron |

Convex core | Dodecahedron |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Convex | No |

Nature | Tame |

The **antitruncated small stellated dodecahedron** or **inflected truncated small stellated dodecahedron** is a semi-uniform polyhedron. It is both the antitruncation of the small stellated dodecahedron and a faceting of the truncated icosahedron. It consists of 12 propeller stellapods and 12 pentagons, with an isosceles triangle vertex figure and 1 pentagon and 2 propeller stellapods at a vertex.

## Vertex coordinates[edit | edit source]

The coordinates of the antitruncated small stellated dodecahedron are the same as the truncated icosahedron, being

all permutations and changes of sign of:

## Variations[edit | edit source]

The antitruncated small stellated dodecahedron is part of a teepee where the small stellated dodecahedron is antitruncated by a different amount.