# Great swirlprismatic pyrihecatonicosachoron

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Great swirlprismatic pyrihecatonicosachoron | |
---|---|

Rank | 4 |

Type | Scaliform |

Notation | |

Bowers style acronym | Gispyphi |

Elements | |

Cells | 120 pentagrammic retroprisms 240 pentagonal pyramids (as 120 compounds of 2) |

Faces | 1200 triangles 120 pentagons 120 pentagrams |

Edges | 600 3-fold 600 5-fold |

Vertices | 120 |

Measures (edge length 1) | |

Circumradius | |

Volume | |

Related polytopes | |

Army | Ex |

Regiment | Sishi |

Conjugate | Small swirlprismatic pyrihecatonicosachoron |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Flag count | 19200 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}●I_{2}(10), order 1200 |

Convex | No |

Nature | Tame |

The **great swirlprismatic pyrihecatonicosachoron** or **gispyphi** is a scaliform polychoron. It consists of 120 pentagrammic retroprisms and 240 pentagonal pyramids (falling into pairs in the same hyperplanes, forming 120 compounds of 2). Ten pentagrammic retroprisms and twelve pentagonal pyramids meet at each vertex.

## Vertex coordinates[edit | edit source]

Its vertex coordinates are the same as those of the general of its army, the hexacosichoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category S4: Scaliform Swirlprisms".