# Hollow great dodecahemidodecahedral cupoliprism

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Hollow great dodecahemidodecahedral cupoliprism | |
---|---|

Rank | 4 |

Type | Scaliform |

Notation | |

Bowers style acronym | Hog dhidicup |

Coxeter diagram | xo5/3xx5/3ox5/2*a&#x |

Elements | |

Cells | 12 pentagrammic antiprisms, 24 pentagrammic cupolae |

Faces | 120 triangles, 60 squares, 24 pentagrams, 12 decagrams |

Edges | 120+120 |

Vertices | 60 |

Vertex figure | Faceted rectangular frustum |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Iddip |

Regiment | Hog dhidicup |

Conjugate | No real conjugate |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H_{3}×A_{1}, order 240 |

Convex | No |

Nature | Tame |

The **hollow great dodecahemidodecahedral cupoliprism** or **hog dhidicup** is a scaliform polychoron that consists of 12 pentagrammic antiprisms and 24 pentagrammic cupolae. Each vertex is met by 2 pentagrammic antiprisms and 6 pentagrammic cupolae. It can be formed by taking a great dodecahemidodecahedral prism, connecting corresponding pentagrams of both bases by pentagrammic antiprisms, connecting pentagrams to decagrams of the other base by pentagrammic cupolae, and removing all other cells.

## External links[edit | edit source]

- Klitzing, Richard. "hog dhidicup".
- Bowers, Jonathan. "Category S1: Simple Scaliforms" (#S5).