# Small swirlprism

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Small swirlprism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sisp |

Elements | |

Cells | 120 pentagonal antiprisms |

Faces | 600 triangles, 120 pentagons |

Edges | 120+600 |

Vertices | 120 |

Vertex figure | Pentagrammic gyrotegum, edge lengths 1 and (1+√5)/2 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Ex |

Regiment | Ex |

Dual | Pentagrammic-gyroprismatic hecatonicosachoron |

Conjugate | Great swirlprism |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

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

Convex | No |

Nature | Tame |

The **small swirlprism** or **sisp**, also known as the **pentagonal-antiprismatic hecatonicosachoron**, **decafold great dodecaswirlchoron**, **great dodecaswirlic hecatonicosachoron**, or **gadswirl 120**, is a nonconvex uniform polychoron. It consists of 120 pentagonal antiprisms. It is the first in an infinite family of isogonal great dodecahedral swirlchora and also the first in an infinite family of isochoric great dodecahedral swirlchora, using a decagon for each of its 12 rings.

## Gallery[edit | edit source]

## Isogonal derivatives[edit | edit source]

Substitution by vertices of these following elements will produce these convex isogonal polychora:

- Pentagonal antiprism (120): Hexacosichoron
- Pentagon (120): Hexacosichoron
- Edge (120): Hexacosichoron
- Edge (600): Partially-rectified small swirlprism

## External links[edit | edit source]

- Bowers, Jonathan. "Category 20: Miscellaneous" (#975).

- Bowers, Jonathan. "How to Make Sisp".

- Klitzing, Richard. "sisp".