Great dipentary dishecatonicosihexacosidishecatonicosachoron

Great dipentary dishecatonicosihexacosidishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gidpid hixady
Elements
Cells	120 sissid, 120 ike, 600 co, 120 raded, 120 gidditdid
Faces	4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 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 dipentary dishecatonicosihexacosidishecatonicosachoron
Abstract & topological properties
Flag count	201600
Euler characteristic	5160
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great dipentary dishecatonicosihexacosidishecatonicosachoron, or gidpid hixady, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 icosahedra, 600 cuboctahedra, 120 rhombidodecadodecahedra, and 120 great ditrigonal dodecicosidodecahedra. One small stellated dodecahedron, one icosahedron, five cuboctahedra, five rhombidodecadodecahedra, 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" (#1077).