Snub icosidodecadodecahedral prism

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Snub icosidodecadodecahedral prism
Rank4
TypeUniform
Notation
Bowers style acronymSididdip
Coxeter diagramx2s5/3s3s5*b ()
Elements
Cells20+60 triangular prisms, 12 pentagonal prisms, 12 pentagrammic prisms, 2 snub icosidodecadodecahedra
Faces40+120 triangles, 60+60+60 squares, 24 pentagons, 24 pentagrams
Edges60+120+120+120
Vertices120
Vertex figureIrregular hexagonal pyramid, edge lengths 1, 1, 1, (1+5)/2, 1, (5–1)/2 (base), 2 (legs)
Measures (edge length 1)
Circumradius≈ 1.23284
Hypervolume≈ 14.64198
Dichoral anglesTrip–4–trip: ≈ 146.78125°
 Trip–4–pip: ≈ 120.43401°
 Sided–5/2–stip: 90°
 Sided–5–pip: 90°
 Sided–3–trip: 90°
 Trip–4–stip: ≈ 7.35214°
Height1
Central density4
Number of external pieces478
Related polytopes
ArmyNon-uniform Sniddip
RegimentSididdip
DualMedial hexagonal hexecontahedral tegum
ConjugateNone
Abstract & topological properties
Euler characteristic–18
OrientableYes
Properties
SymmetryH3+×A1, order 120
ConvexNo
NatureTame

The snub icosidodecadodecahedral prism or sididdip is a prismatic uniform polychoron that consists of 2 snub icosidodecadodecahedra, 12 pentagrammic prisms, 12 pentagonal prisms, and 20+60 triangular prisms. Each vertex joins 1 snub icosidodecadodecahedron, 1 pentagrammic prism, 1 pentagonal prisms, and 4 triangular prisms. As the name suggests, it is a prism based on the snub icosidodecadodecahedron.

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