Great dipentary hecatonicosidishexacosidishecatonicosachoron

Great dipentary hecatonicosidishexacosidishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gidphiddixady
Elements
Cells	600 tut, 120 tiggy, 600 co, 120 raded, 120 gidditdid
Faces	4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagrams
Edges	3600+3600
Vertices	1440
Measures (edge length 1)
Circumradius	${\sqrt {4-{\sqrt {5}}}}\approx 1.32813$
Central density	-82
Related polytopes
Army	Semi-uniform Tex
Regiment	Gidipthi
Conjugate	Small dipentary hecatonicosidishexacosidishecatonicosachoron
Abstract & topological properties
Flag count	259200
Euler characteristic	7080
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great dipentary hecatonicosidishexacosidishecatonicosachoron, or gidphiddixady, is a nonconvex uniform polychoron that consists of 600 truncated tetrahedra, 120 truncated great icosahedra, 600 cuboctahedra, 120 rhombidodecadodecahedra, and 120 great ditrigonal dodecicosidodecahedra. Five of each 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" (#1080).