# Icosafold icosidodecaswirlchoron

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Icosafold icosidodecaswirlchoron | |
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File:Icosafold icosidodecaswirlchoron.png | |

Rank | 4 |

Type | Isogonal |

Space | Spherical |

Elements | |

Cells | 1200 phyllic disphenoids, 240 pentagonal gyroprisms |

Faces | 2400 scalene triangles, 1200 isosceles triangles, 240 pentagons |

Edges | 600+1200+1200 |

Vertices | 600 |

Vertex figure | Polyhedron with 4 tetragons and 8 triangles |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Rhombitriacontaswirlic hexacosichoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}●I_{2}(20), order 2400 |

Convex | Yes |

Nature | Tame |

The **icosafold icosidodecaswirlchoron** is an isogonal polychoron with 240 pentagonal gyroprisms, 1200 phyllic disphenoids, and 600 vertices. 4 pentagonal gyroprisms and 8 phyllic disphenoids join at each vertex. It is the fifth in an infinite family of isogonal icosidodecahedral swirlchora.

The ratio between the longest and shortest edges is 1: ≈ 1:1.24670.