Great ditrigonary prismatohecatonicosihexacosidishecatonicosachoron

Great ditrigonary prismatohecatonicosihexacosidishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Giddit phixady
Elements
Cells	120 gidtid, 120 ided, 120 sidditdid, 720 stiddip, 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	Siddit phixady
Abstract & topological properties
Euler characteristic	6840
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great ditrigonary prismatohecatonicosihexacosidishecatonicosachoron, or giddit phixady, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 120 icosidodecadodecahedra, 120 small ditrigonal dodecicosidodecahedra, 720 decagrammic prisms, and 600 cubohemioctahedra. Two great ditrigonary icosidodecahedra, six icosidodecadodecahedra, six small ditrigonal dodecicosidodecahedra, twelve decagrammic prisms, 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" (#1277).