Great dipentary prismatohecatonicosihexacosihecatonicosachoron

Great dipentary prismatohecatonicosihexacosihecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Giddip phixhi
Elements
Cells	120 gike, 720 pip, 600 cho, 120 giid
Faces	2400 triangles, 3600 squares, 1440 pentagons, 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 dipentary prismatohecatonicosihexacosihecatonicosachoron
Abstract & topological properties
Flag count	172800
Euler characteristic	2520
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great dipentary prismatohecatonicosihexacosihecatonicosachoron, or giddip phixhi, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 720 pentagonal prisms, 600 cubohemioctahedra, and 120 great icosicosidodecahedra. One great icosahedron, five pentagonal prisms, five cubohemioctahedra, and five great icosicosidodecahedra 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" (#1095).