Great inverted retrosnub icosidodecahedral prism

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Great inverted retrosnub icosidodecahedral prism
Rank4
TypeUniform
Notation
Bowers style acronymGirsiddip
Coxeter diagramx2s5/3s3/2s ()
Elements
Cells20+60 triangular prisms, 12 pentagrammic prisms, 2 great inverted retrosnub icosidodecahedra
Faces40+120 triangles, 30+60+60 squares, 24 pentagrams
Edges60+60+120+120
Vertices120
Vertex figureIrregular pentagrammic pyramid, edge lengths 1, 1, 1, 1, (5–1)/2 (base), 2 (legs)
Measures (edge length 1)
Circumradius≈ 0.76577
Hypervolume≈ 1.03760
Dichoral anglesGirsid–5/2–stip: 90°
 Girsid–3–trip: 90°
 Trip–4–stip: ≈ 67.31029°
 Trip–4–trip: ≈ 21.72466°
Height1
Central density37
Number of external pieces1802
Related polytopes
ArmyNon-uniform Sniddip
RegimentGirsiddip
DualGreat pentagrammic hexecontahedral tegum
ConjugatesSnub dodecahedral prism, great snub icosidodecahedral prism, great inverted snub icosidodecahedral prism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3+×A1, order 120
ConvexNo
NatureTame

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

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