Great ditrigonary dishexacositetrishecatonicosachoron

Great ditrigonary dishexacositetrishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gidtiduxthi
Elements
Cells	120 sidtid, 600 oct, 120 id, 120 ided, 120 quitdid, 600 cho
Faces	4800 triangles, 3600 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	Sidtiduxthi
Abstract & topological properties
Euler characteristic	7440
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great ditrigonary dishexacositetrishecatonicosachoron, or gidtiduxthi, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 600 octahedra, 120 icosidodecahedra, 120 icosidodecadodecahedra, 120 quasitruncated dodecadodecahedra, and 600 cubohemioctahedra. Two small ditrigonary icosidodecahedra, three octahedra, three icosidodecahedra, six icosidodecadodecahedra, 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" (#1303).