Great dipentary hexacosiprismatotetrishecatonicosachoron

Great dipentary hexacosiprismatotetrishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Giddip xupthi
Elements
Cells	120 small stellated dodecahedra 120 icosahedra 1200 triangular prisms 600 truncated tetrahedra 120 rhombidodecadodecahedra 120 great icosicosidodecahedra
Faces	4800 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 dipentary hexacosiprismatotetrishecatonicosachoron
Abstract & topological properties
Flag count	230400
Euler characteristic	5640
Orientable	Yes
Properties
Symmetry	H4, order 14400
Flag orbits	16
Convex	No
Nature	Wild

The great dipentary hexacosiprismatotetrishecatonicosachoron, or giddip xupthi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 icosahedra, 1200 triangular prisms, 600 truncated tetrahedra, 120 rhombidodecadodecahedra, and 120 great icosicosidodecahedra. One small stellated dodecahedron, one icosahedron, five triangular prisms, five truncated tetrahedra, five rhombidodecadodecahedra, and five great icosicosidodecahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of the great dipentary trishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 22: Gidipthi Regiment" (#1141).