Small tripesic dodecahedronary dishecatonicosachoron

Small tripesic dodecahedronary dishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sitpodady
Coxeter diagram	o5/2o3o5/2x3*b ()
Elements
Cells	120 great icosahedra, 120 small ditrigonary icosidodecahedra
Faces	2400 triangles, 720 pentagrams
Edges	1200
Vertices	120
Vertex figure	Fissary truncated great icosahedron, edge lengths (√5–1)/2 (edges of pentagrams) and 1 (remaining edges)
Measures (edge length 1)
Circumradius	1
Hypervolume	$5{\frac {21{\sqrt {5}}-5}{4}}\approx 52.44678$
Dichoral angles	Sidtid–3–gike: 120º
	Sidtid–5/2–sidtid: 72º
Central density	40
Number of external pieces	30240
Level of complexity	55
Related polytopes
Army	Ex, edge lenght ${\frac {{\sqrt {5}}-1}{2}}$
Regiment	Sishi
Conjugate	Great tripesic dodecahedronary dishecatonicosachoron
Abstract & topological properties
Flag count	43200
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small tripesic dodecahedronary dishecatonicosachoron, or sitpodady, is a nonconvex fissary uniform polychoron that consists of 120 regular great icosahedra and 120 small ditrigonary icosidodecahedra. 12 great icosahedra and 20 small ditrigonary icosidodecahedra join at each vertex.

It is fissary due to the fact the edges coincide by 3, with a compound edge figure.

It can be formed as a holosnub grand hecatonicosachoron.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the small stellated hecatonicosachoron.

External links

• Bowers, Jonathan. "Category 17: Sishi Regiment" (#F9).

• Klitzing, Richard. "sitpodady".