Small ditrigonary hecatonicosidishecatonicosihexacosichoron

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

The small ditrigonary hecatonicosidishecatonicosihexacosichoron, or sidthidhix, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 great icosidodecahedra, 600 octahedra, and 120 great ditrigonal dodecicosidodecahedra. Two ditrigonary dodecadodecahedra, three great icosidodecahedra, three octahedra, and six great ditrigonal dodecicosidodecahedra 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" (#1191).