Small dipentary trishecatonicosihecatonicosihexacosichoron

Small dipentary trishecatonicosihecatonicosihexacosichoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sidpathihix
Elements
Cells	120 gike, 120 gad, 600 oho, 120 ided, 120 sidditdid
Faces	4800 triangles, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons
Edges	3600+3600
Vertices	1440
Measures (edge length 1)
Circumradius	${\sqrt {4+{\sqrt {5}}}}\approx 2.49721$
Related polytopes
Army	Semi-uniform Tex
Regiment	Padohi
Conjugate	Great dipentary trishecatonicosihecatonicosihexacosichoron
Abstract & topological properties
Flag count	201600
Euler characteristic	3960
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small dipentary trishecatonicosihecatonicosihexacosichoron, or sidpathihix, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 great dodecahedra, 600 octahemioctahedra, 120 icosidodecadodecahedra, and 120 small ditrigonal dodecicosidodecahedra. One great icosahedron, one great dodecahedron, five octahemioctahedra, five icosidodecadodecahedra, and five small ditrigonal dodecicosidodecahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the prismatodishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 21: Padohi Regiment" (#995).