Great dipentary disprismatohecatonicosidishecatonicosachoron

Great dipentary disprismatohecatonicosidishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gidpadiphdy
Elements
Cells	120 sissid, 720 pip, 1200 trip, 120 tiggy, 120 giid
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 dipentary disprismatohecatonicosidishecatonicosachoron
Abstract & topological properties
Flag count	201600
Euler characteristic	3240
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great dipentary disprismatohecatonicosidishecatonicosachoron, or gidpadiphdy, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 720 pentagonal prisms, 1200 triangular prisms, 120 truncated great icosahedra, and 120 great icosicosidodecahedra. One small stellated dodecahedron, five pentagonal prisms, five triangular prisms, five truncated great icosahedra, 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" (#1113).