# Small disprismated triacontafold dodecaswirlchoron

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Small disprismated triacontafold dodecaswirlchoron | |
---|---|

Rank | 4 |

Type | Isogonal |

Elements | |

Cells | 1800+1800 wedges, 600 triangular prisms, 600 triangular gyroprisms, 360 pentagonal prisms, 360 pentagonal gyroprisms |

Faces | 1200 triangles, 3600+3600 isosceles triangles, 1800+1800+3600 rectangles, 720 pentagons |

Edges | 1800+1800+1800+1800+3600+3600 |

Vertices | 3600 |

Vertex figure | Irregular tetragonal antiprism |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Small crystallized dodecaswirlic triacosihexecontachoron |

Abstract & topological properties | |

Flag count | 230400 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}●I_{2}(30), order 3600 |

Convex | Yes |

Nature | Tame |

The **small disprismated triacontafold dodecaswirlchoron**, also known as the **small disprismated triacontafold icosaswirlchoron** is an isogonal polychoron with 360 pentagonal prisms, 360 pentagonal gyroprisms, 600 triangular prisms, 600 triangular gyroprisms, 3600 wedges of two kinds, and 3600 vertices. 4 wedges and 1 of each of the other cell types join at each vertex. It can be formed by expanding the cells of the pentagonal-gyroprismatic triacosihexecontachoron or its dual triangular-gyroprismatic hexacosichoron outward.