Small ditrigonary hecatonicosihexacosidishecatonicosihecatonicosachoron

Small ditrigonary hecatonicosihexacosidishecatonicosihecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sidthixady hi
Elements
Cells	120 gidtid, 120 gid, 600 oct, 120 ided, 120 giddy
Faces	4800 triangles, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagrams
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	${\sqrt {3}}\approx 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Gidthixady hi
Abstract & topological properties
Euler characteristic	3720
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small ditrigonary hecatonicosihexacosidishecatonicosihecatonicosachoron, or sidthixady hi, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 120 great icosidodecahedra, 600 octahedra, 120 icosidodecadodecahedra, and 120 great dodecicosahedra. Two great ditrigonary icosidodecahedra, three great icosidodecahedra, three octahedra, 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" (#1216).