# Small swirlprismatic hexacositrishecatonicosicupolidishecatonicosachoron

Small swirlprismatic hexacositrishecatonicosicupolidishecatonicosachoron | |
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Rank | 4 |

Type | Scaliform |

Notation | |

Bowers style acronym | Sispaxthiccudy |

Elements | |

Cells | 120 pap 120 starp 120 stip 600 trip 240 pecu (as 120 compounds of 2) |

Faces | 1200+1200 triangles 600+1200 squares 240 pentagons 240 pentagrams 120 decagons |

Edges | 600+1200 3-fold 600+600+1200 4-fold 600 5-fold |

Vertices | 1200 |

Vertex figure | Partial faceting of padohi verf |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Related polytopes | |

Army | Bhidtex |

Regiment | Sispaxthiccudy |

Conjugate | Great swirlprismatic hexacositrishecatonicosicupolidishecatonicosachoron |

Abstract & topological properties | |

Flag count | 72000 |

Orientable | Yes |

Properties | |

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

Convex | No |

Nature | Tame |

The **small swirlprismatic hexacositrishecatonicosicupolidishecatonicosachoron** or **sispaxthiccudy** is a scaliform polychoron. It consists of 120 pentagonal antiprisms, 120 pentagrammic retroprisms, 120 pentagrammic prisms, 600 triangular prisms, and 240 pentagonal cupolae (falling into pairs in the same hyperplanes, forming 120 compounds of 2 each).

It can be created by diminishing the prismatodishecatonicosachoron, specifically by removing 240 vertices. As a result, every icosahedral cell of the prismatodishecatonicosachoron gets diminished down to a pentagonal antiprism, while every small stellated dodecahedral cell becomes a pentagrammic retroprism. Some of the pre-existing prismatic cells are lost.

## Vertex coordinates[edit | edit source]

Its vertex coordinates are the same as those of the general of its army, the bi-hecatonicosadiminished truncated hexacosichoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category S3: Special Scaliforms" (#S82).