Great ditrigonary hecatonicosihecatonicosihexacosidishecatonicosachoron

Great ditrigonary hecatonicosihecatonicosihexacosidishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gidthihixady
Elements
Cells	120 gidtid, 120 siid, 120 raded, 120 quitdid, 600 cho
Faces	2400 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons, 720 decagrams
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	${\sqrt {3}}\approx 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Sidthihixady
Abstract & topological properties
Euler characteristic	7440
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great ditrigonary hecatonicosihecatonicosihexacosidishecatonicosachoron, or gidthihixady, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 120 small icosicosidodecahedra, 120 rhombidodecadodecahedra, 120 quasitruncated dodecadodecahedra, and 600 cubohemioctahedra. Two great ditrigonary icosidodecahedra, six small icosicosidodecahedra, six rhombidodecadodecahedra, twelve quasitruncated dodecadodecahedra, and six cubohemioctahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.

External links

• Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1279).