Omnifacetododecahedronary dishecatonicosachoron

Omnifacetododecahedronary dishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Ofiddady
Coxeter diagram	o3o5/3o3x5/2o3*c5*aØ*e
Elements
Cells	120 icosahedra, 120 small ditrigonary icosidodecahedra
Faces	2400 triangles, 720 pentagrams
Edges	1200
Vertices	120
Edge figure	(ike 3 sidtid 5/2 sidtid 3)×3
Measures (edge length 1)
Circumradius	1
Hypervolume	$5{\frac {5+13{\sqrt {5}}}{2}}\approx 85.17221$
Dichoral angles	Sidtid–5/2–sidtid: 72°
	Sidtid–3–ike: 60°
Central density	70
Number of external pieces	66240
Level of complexity	112
Related polytopes
Army	Ex, edge length ${\frac {{\sqrt {5}}-1}{2}}$
Regiment	Sishi
Conjugate	Dodecahedronary dishecatonicosachoron
Abstract & topological properties
Flag count	43200
Euler characteristic	1800
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Feral

The omnifacetododecahedronary dishecatonicosachoron, or ofiddady, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra and 120 icosahedra. Twenty small ditrigonary icosidodecahedra and twelve icosahedra join at each vertex.

It also has great complex icosidodecahedra as exotic pseudofacets.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the small ditrigonary hexacosihecatonicosachoron.

External links

• Bowers, Jonathan. "Category 17: Sishi Regiment" (#770).

• Klitzing, Richard. "ofiddady".