Small ditrigonary hecatonicosihecatonicosihexacosidishecatonicosachoron

Small ditrigonary hecatonicosihecatonicosihexacosidishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sidthihixady
Elements
Cells	120 sidtid, 120 giid, 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	Gidthihixady
Abstract & topological properties
Euler characteristic	7440
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small ditrigonary hecatonicosihecatonicosihexacosidishecatonicosachoron, or sidthihixady, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 great icosicosidodecahedra, 120 rhombidodecadodecahedra, 120 quasitruncated dodecadodecahedra, and 600 cubohemioctahedra. Two small ditrigonary icosidodecahedra, six great 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" (#1275).