# Hexecontafold icosidodecaswirlchoron

The **hexecontafold icosidodecaswirlchoron** is an isogonal polychoron with 720 pentagonal gyroprisms, 1200 triangular gyroprisms, and 1800 vertices. 4 pentagonal gyroprisms and 4 triangular gyroprisms join at each vertex. It is the fifteenth in an infinite family of isogonal icosidodecahedral swirlchora.

Hexecontafold icosidodecaswirlchoron | |
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File:Hexecontafold icosidodecaswirlchoron.png | |

Rank | 4 |

Type | Isogonal |

Elements | |

Cells | 1200 triangular gyroprisms, 720 pentagonal gyroprisms |

Faces | 7200 scalene triangles, 1200 triangles, 720 pentagons |

Edges | 1800+3600+3600 |

Vertices | 1800 |

Vertex figure | Rectangular gyrotegum |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Rhombitriacontaswirlic chiliaoctacosichoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}●I_{2}(60), order 7200 |

Convex | Yes |

Nature | Tame |