# Dodecafold icosidodecaswirlchoron

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Dodecafold icosidodecaswirlchoron | |
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File:Dodecafold icosidodecaswirlchoron.png | |

Rank | 4 |

Type | Isogonal |

Elements | |

Cells | 720+720+720 phyllic disphenoids, 240 triangular gyroprisms |

Faces | 1440+1440+1440 scalene triangles, 720 isosceles triangles, 240 triangles |

Edges | 360+720+720+720+720 |

Vertices | 360 |

Vertex figure | Polyhedron with 4 tetragons and 24 triangles |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Rhombitriacontaswirlic triacosihexecontachoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}●I_{2}(12), order 1440 |

Convex | Yes |

Nature | Tame |

The **dodecafold icosidodecaswirlchoron** is an isogonal polychoron with 240 triangular gyroprisms, 2160 phyllic disphenoids of three kinds, and 360 vertices. 4 triangular gyroprisms and 24 phyllic disphenoids join at each vertex. It is the third in an infinite family of isogonal icosidodecahedral swirlchora.

The ratio between the longest and shortest edges is 1: ≈ 1:1.96681.