Great inverted snub icosidodecahedral prism

Great inverted snub icosidodecahedral prism
	(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gisiddip
Coxeter diagram	x2s5/3s3s ()
Elements
Cells	20+60 triangular prisms, 12 pentagrammic prisms, 2 great inverted snub icosidodecahedra
Faces	40+120 triangles, 30+60+60 squares, 24 pentagrams
Edges	60+60+120+120
Vertices	120
Vertex figure	Irregular pentagonal pyramid, edge lengths 1, 1, 1, 1, (√5–1)/2 (base), √2 (legs)
Measures (edge length 1)
Circumradius	≈ 0.81612
Hypervolume	≈ 2.71387
Dichoral angles	Gisid–5/2–stip: 90°
	Gisid–3–trip: 90°
	Trip–4–trip: ≈ 89.78760°
	Trip–4–stip: ≈ 21.61047°
Height	1
Central density	13
Number of pieces	782
Related polytopes
Army	Non-uniform Sniddip
Regiment	Gisiddip
Dual	Great inverted pentagonal hexecontahedral tegum
Conjugates	Snub dodecahedral prism, great snub icosidodecahedral prism, great inverted retrosnub icosidodecahedral prism
Abstract properties
Euler characteristic	0
Topological properties
Orientable	Yes
Properties
Symmetry	H3+×A1, order 120
Convex	No
Nature	Tame

The great inverted snub icosidodecahedral prism or gisiddip is a prismatic uniform polychoron that consists of 2 great inverted snub icosidodecahedra, 12 pentagrammic prisms, and 20+60 triangular prisms. Each vertex joins 1 great inverted snub icosidodecahedron, 1 pentagrammic prism, and 4 triangular prisms. As the name suggests, it is a prism based on the great inverted snub icosidodecahedron.

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