# Bigyroprismatic transitional didecafold icosidodecaswirlchoron

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Bigyroprismatic transitional didecafold icosidodecaswirlchoron | |
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File:Bigyroprismatic transitional didecafold icosidodecaswirlchoron.png | |

Rank | 4 |

Type | Isogonal |

Space | Spherical |

Elements | |

Cells | 600 phyllic disphenoids, 600 digonal disphenoids, 120 pentagonal bigyroprisms |

Faces | 1200 scalene triangles, 1200+1200 isosceles triangles, 120 pentagons |

Edges | 600+600+600+1200 |

Vertices | 600 |

Vertex figure | 10-vertex polyhedron with 1 hexagon, 2 tetragons, and 8 triangles |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Bigyrotegmatic transitional intersected rhombitriacontaswirlic hexacosichoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{3}●I_{2}(10), order 1200 |

Convex | Yes |

Nature | Tame |

The **bigyroprismatic transitional didecafold icosidodecaswirlchoron** is an isogonal polychoron, formed as a convex hull of five hexacosichora. It consists of 120 pentagonal bigyroprisms, 600 digonal disphenoids, and 600 phyllic disphenoids. 3 pentagonal bigyroprisms, 4 digonal disphenoids, and 4 phyllic disphenoids join at each vertex.

It can be constructed as a subsymmetrical faceting of the rectified hecatonicosachoron.

The ratio between the longest and shortest edges is 1: ≈ 1:1.90211.