# Hollow great dodecahemidodecahedral cupoliprism

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.

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 |

## External links edit

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