# Small swirlprismatic triacosihexecontitriacosihexecontachoron

The **small swirlprismatic triacosihexecontitriacosihexecontachoron**, or **sispatit**, is a nonconvex uniform polychoron that consists of 360 pentagonal prisms and 360 pentagrammic prisms. Thirty pentagonal prisms and thirty pentagrammic prisms join at each vertex.

Small swirlprismatic triacosihexecontitriacosihexecontachoron | |
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Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Sispatit |

Elements | |

Cells | 360 pentagonal prisms, 360 pentagrammic prisms |

Faces | 1800 squares, 360 pentagons, 360 pentagrams |

Edges | 1200 |

Vertices | 120 |

Measures (edge length 1) | |

Circumradius | 1 |

Number of external pieces | 18000 |

Level of complexity | 1120 |

Related polytopes | |

Army | Ex |

Regiment | Sishi |

Conjugate | Sispatit |

Abstract & topological properties | |

Euler characteristic | 720 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}●G_{2}, order 720 |

Convex | No |

Nature | Feral |

It has the same cell counts as the great swirlprismatic triacosihexecontitriacosihexecontachoron, although the two are not conjugate.

## Vertex coordinates edit

Its vertices are the same as those of its regiment colonel, the small stellated hecatonicosachoron.

## External links edit

- Bowers, Jonathan. "Category 20: Miscellaneous" (#979).

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