Bigyroprismatic transitional didecafold icosidodecaswirlchoron

Bigyroprismatic transitional didecafold icosidodecaswirlchoron
File:Bigyroprismatic transitional didecafold icosidodecaswirlchoron.png (OFF file)
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	H3●I2(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:$\frac{\sqrt{10+2\sqrt5}}{2}$ ≈ 1:1.90211.