Great inverted snub icosidodecahedral prism

From Polytope Wiki
Jump to navigation Jump to search
Great inverted snub icosidodecahedral prism
Rank4
TypeUniform
Notation
Bowers style acronymGisiddip
Coxeter diagramx2s5/3s3s ()
Elements
Cells20+60 triangular prisms, 12 pentagrammic prisms, 2 great inverted 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≈ 0.81612
Hypervolume≈ 2.71387
Dichoral anglesGisid–5/2–stip: 90°
 Gisid–3–trip: 90°
 Trip–4–trip: ≈ 89.78760°
 Trip–4–stip: ≈ 21.61047°
Height1
Central density13
Number of external pieces782
Related polytopes
ArmyNon-uniform Sniddip
RegimentGisiddip
DualGreat inverted pentagonal hexecontahedral tegum
ConjugatesSnub dodecahedral prism, great snub icosidodecahedral prism, great inverted retrosnub icosidodecahedral prism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3+×A1, order 120
ConvexNo
NatureTame

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

External links[edit | edit source]