Great tripesic dodecahedronary dishecatonicosachoron

Great tripesic dodecahedronary dishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gitpodady
Coxeter diagram	o5o3o5x3/2*b ()
Elements
Cells	120 icosahedra, 120 great ditrigonary icosidodecahedra
Faces	2400 triangles, 720 pentagons
Edges	1200
Vertices	120
Vertex figure	Fissary quasitruncated icosahedron, edge lengths (1+√5)/2 (edges of pentagons) and 1 (remaining edges)
Measures (edge length 1)
Circumradius	1
Hypervolume	$5{\frac {5+21{\sqrt {5}}}{4}}\approx 64.94678$
Dichoral angles	Gidtid–5–gidtid: 144°
	Gidtid–3–ike: 60°
Central density	80
Related polytopes
Army	Ex, edge length ${\frac {{\sqrt {5}}-1}{2}}$
Regiment	Sishi
Conjugate	Small tripesic dodecahedronary dishecatonicosachoron
Abstract & topological properties
Flag count	43200
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

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

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

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" (#F10).

• Klitzing, Richard. "gitpodady".