Great dipentary hexacosihecatonicositrishecatonicosachoron

Great dipentary hexacosihecatonicositrishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gidpixhithi
Elements
Cells	120 sissid, 120 ike, 600 cho, 120 giddy, 120 qrid
Faces	2400 triangles, 3600 squares, 1440 pentagrams, 2400 hexagons, 720 decagrams
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 dipentary hexacosihecatonicositrishecatonicosachoron
Abstract & topological properties
Flag count	201600
Euler characteristic	3720
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great dipentary hexacosihecatonicositrishecatonicosachoron, or gidpixhithi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 icosahedra, 600 cubohemioctahedra, 120 great dodecicosahedra, and 120 quasirhombicosidodecahedra. One small stellated dodecahedron, one icosahedron, five cubohemioctahedra, five great dodecicosahedra, 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" (#1137).