Great based dipentary prismatodishecatonicosihexacosihecatonicosachoron

Great based dipentary prismatodishecatonicosihexacosihecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gibdip pidhixhi
Elements
Cells	120 ike, 720 pip, 600 oho, 120 ri, 120 gidditdid
Faces	4800 triangles, 3600 squares, 1440 pentagons, 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 capped dipentary prismatodishecatonicosihexacosihecatonicosachoron
Abstract & topological properties
Flag count	230400
Euler characteristic	5520
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great based dipentary prismatodishecatonicosihexacosihecatonicosachoron, or gibdip pidhixhi, is a nonconvex uniform polychoron that consists of 120 icosahedra, 720 pentagonal prisms, 600 octahemioctahedra, 120 rhombicosahedra, and 120 great ditrigonal dodecicosidodecahedra. One icosahedron, five pentagonal prisms, five octahemioctahedra, five rhombicosahedra, and five great ditrigonal dodecicosidodecahedra 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" (#1122).