Great retroditrigonary hexacositrishecatonicosachoron

Great retroditrigonary hexacositrishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Girdtixthi
Elements
Cells	120 gidtid, 120 giid, 120 quitdid, 600 cho
Faces	2400 triangles, 3600 squares, 1440 pentagons, 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	Sirdtixthi
Abstract & topological properties
Euler characteristic	4320
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great retroditrigonary hexacositrishecatonicosachoron, or girdtixthi, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 120 great icosicosidodecahedra, 120 quasitruncated dodecadodecahedra, and 600 cubohemioctahedra. Two great ditrigonary icosidodecahedra, six great icosicosidodecahedra, 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" (#1265).