Great ditrigonary hexacosihecatonicositrishecatonicosachoron

Great ditrigonary hexacosihecatonicositrishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gidtexhithi
Elements
Cells	600 oct, 120 id, 120 sidditdid, 120 ided, 120 giddy
Faces	4800 triangles, 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	Sidtexhithi
Abstract & topological properties
Euler characteristic	4440
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great ditrigonary hexacosihecatonicositrishecatonicosachoron, or gidtexhithi, is a nonconvex uniform polychoron that consists of 600 octahedra, 120 icosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, 120 icosidodecadodecahedra, and 120 great dodecicosahedra. Three octahedra, three icosidodecahedra, six small ditrigonal dodecicosidodecahedra, six icosidodecadodecahedra, and six great dodecicosahedra 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" (#1202).