Great based dipentary hecatonicosiprismatohexacosidishecatonicosachoron

Great based dipentary hecatonicosiprismatohexacosidishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gibdiphip xady
Elements
Cells	120 gad, 600 tut, 120 tiggy, 720 pip, 120 qrid
Faces	2400 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons
Edges	3600+3600
Vertices	1440
Measures (edge length 1)
Circumradius	${\sqrt {4-{\sqrt {5}}}}\approx 1.32813$
Related polytopes
Army	Semi-uniform Tex
Regiment	Gidipthi
Conjugate	Small capped dipentary hecatonicosiprismatohexacosidishecatonicosachoron
Abstract & topological properties
Flag count	201600
Euler characteristic	3840
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great based dipentary hecatonicosiprismatohexacosidishecatonicosachoron, or gibdiphip xady, is a nonconvex uniform polychoron that consists of 120 great dodecahedra, 600 truncated tetrahedra, 120 truncated great icosahedra, 720 pentagonal prisms, and 120 quasirhombicosidodecahedra. One great dodecahedron, five truncated tetrahedra, five truncated great icosahedra, five pentagonal prisms, and five quasirhombicosidodecahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the great dipentary trishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 22: Gidipthi Regiment" (#1112).