Inverted snub dodecadodecahedral prism

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Inverted snub dodecadodecahedral prism
Isdiddip.png
Rank4
TypeUniform
SpaceSpherical
Bowers style acronymIsdiddip
Coxeter diagramx2s5/3s5s (CDel node 1.pngCDel 2.pngCDel node h.pngCDel 5.pngCDel rat.pngCDel 3x.pngCDel node h.pngCDel 5.pngCDel node h.png)
Elements
Vertex figureIrregular pentagonal pyramid, edge lengths 1, 1, (1+5)/2, 1, (5–1)/2 (base), 2 (legs)
Cells60 triangular prisms, 12 pentagonal prisms, 12 pentagrammic prisms, 2 inverted snub dodecadodecahedra
Faces120 triangles, 30+60+60 squares, 24 pentagons, 24 pentagrams
Edges60+60+120+120
Vertices120
Measures (edge length 1)
Circumradius≈ 0.98756
Hypervolume≈ 4.61431
Dichoral anglesTrip–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°
Height1
Central density9
Euler characteristic–8
Number of pieces374
Related polytopes
ArmyNon-uniform Sniddip
RegimentIsdiddip
DualMedial inverted pentagonal hexecontahedral tegum
ConjugateSnub dodecadodecahedral prism
Topological properties
OrientableYes
Properties
SymmetryH3+×A1, order 120
ConvexNo
NatureTame

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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