Great spinocapped dipentary hexacositrishecatonicosachoron

Great spinocapped dipentary hexacositrishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Ganc dapixthi
Elements
Cells	120 sissid, 120 tiggy, 600 cho, 120 gird
Faces	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 spinobased dipentary hexacositrishecatonicosachoron
Abstract & topological properties
Flag count	172800
Euler characteristic	1440
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great spinocapped dipentary hexacositrishecatonicosachoron, or ganc dapixthi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 truncated great icosahedra, 600 cubohemioctahedra, and 120 great rhombidodecahedra. One small stellated dodecahedron, five truncated great icosahedra, five cubohemioctahedra, and five great rhombidodecahedra 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" (#1105).