Inverted snub dodecadodecahedral prism

Inverted snub dodecadodecahedral prism
	(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Isdiddip
Coxeter diagram	x2s5/3s5s ()
Elements
Cells	60 triangular prisms, 12 pentagonal prisms, 12 pentagrammic prisms, 2 inverted snub dodecadodecahedra
Faces	120 triangles, 30+60+60 squares, 24 pentagons, 24 pentagrams
Edges	60+60+120+120
Vertices	120
Vertex figure	Irregular pentagonal pyramid, edge lengths 1, 1, (1+√5)/2, 1, (√5–1)/2 (base), √2 (legs)
Measures (edge length 1)
Circumradius	≈ 0.98756
Hypervolume	≈ 4.61431
Dichoral angles	Trip–4–trip: ≈ 130.49074°
	Isdid–5/2–stip: 90°
	Isdid–5–pip: 90°
	Isdid–3–trip: 90°
	Trip–4–pip: ≈ 68.64088°
	Trip–4–stip: ≈ 11.12448°
Height	1
Central density	9
Number of pieces	374
Related polytopes
Army	Non-uniform Sniddip
Regiment	Isdiddip
Dual	Medial inverted pentagonal hexecontahedral tegum
Conjugate	Snub dodecadodecahedral prism
Abstract properties
Euler characteristic	–8
Topological properties
Orientable	Yes
Properties
Symmetry	H3+×A1, order 120
Convex	No
Nature	Tame
Discovered by	{{{discoverer}}}

The inverted snub dodecadodecahedral prism or isdiddip is a prismatic uniform polychoron that consists of 2 inverted snub dodecadodecahedra, 12 pentagrammic prisms, 12 pentagonal prisms, and 60 triangular prisms. Each vertex joins 1 inverted snub dodecadodecahedron, 1 pentagrammic prism, 1 pentagonal prisms, and 3 triangular prisms. As the name suggests, it is a prism based on the inverted snub dodecadodecahedron.

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