Great snub icosidodecahedral prism

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Great snub icosidodecahedral prism
Rank4
TypeUniform
Notation
Bowers style acronymGosiddip
Coxeter diagramx2s5/2s3s ()
Elements
Cells20+60 triangular prisms, 12 pentagrammic prisms, 2 great snub icosidodecahedra
Faces40+120 triangles, 30+60+60 squares, 24 pentagrams
Edges60+60+120+120
Vertices120
Vertex figureIrregular pentagonal pyramid, edge lengths 1, 1, 1, 1, (5–1)/2 (base), 2 (legs)
Measures (edge length 1)
Circumradius≈ 0.95707
Hypervolume≈ 7.67391
Dichoral anglesTrip–4–stip: ≈ 138.82237°
 Trip–4–trip: ≈ 126.82315°
 Gosid–5/2–stip: 90°
 Gosid–3–trip: 90°
Height1
Central density7
Number of external pieces302
Related polytopes
ArmyNon-uniform Sniddip
RegimentGosiddip
DualGreat pentagonal hexecontahedral tegum
ConjugatesSnub dodecahedral prism, great inverted snub icosidodecahedral prism, great inverted retrosnub icosidodecahedral prism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3+×A1, order 120
ConvexNo
NatureTame

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

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