Great icosicosidodecahedral prism

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Great icosicosidodecahedral prism
Giidip.png
Rank4
TypeUniform
SpaceSpherical
Bowers style acronymGiidip
Coxeter diagramx o3/2x3x5*b (CDel node 1.pngCDel 2.pngCDel label3.pngCDel branch 11.pngCDel split2-5t.pngCDel node.png)
Elements
Vertex figureCrossed isosceles trapezoidal pyramid, edge lengths 1, 3, (1+5)/2, 3 (base), 2 (legs)
Cells20 triangular prisms, 12 pentagonal prisms, 20 hexagonal prisms, 2 great icosicosidodecahedra
Faces40 triangles, 60+60 squares, 24 pentagons, 40 hexagons
Edges60+120+120
Vertices120
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesPip–4–hip:
 Giid–5–pip: 90°
 Giid–3–trip: 90°
 Giid–6–hip: 90°
 Trip–4–hip:
Height1
Central density6
Euler characteristic–10
Number of pieces1234
Related polytopes
ArmySemi-uniform Tiddip
RegimentGidditdiddip
DualGreat icosacronic hexecontahedral bipyramid
ConjugateSmall icosicosidodecahedral prism
Topological properties
OrientableYes
Properties
SymmetryH3×A1, order 240
ConvexNo
NatureTame

The great icosicosidodecahedral prism or giidip is a prismatic uniform polychoron that consists of 2 great icosicosidodecahedra, 12 pentagonal prisms, 20 triangular prisms, and 20 hexagonal prisms. Each vertex joins 1 great icosicosidodecahedron, 1 pentagonal prism, 1 triangular prism, and 2 hexagonal prisms. As the name suggests, it is a prism based on the great icosicosidodecahedron.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the great ditrigonal dodecicosidodecahedral prism.

External links[edit | edit source]