Quasirhombicosidodecahedral prism

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Quasirhombicosidodecahedral prism
Rank4
TypeUniform
SpaceSpherical
Bowers style acronymQriddip
Coxeter diagramx x5/3o3x (CDel node 1.pngCDel 2.pngCDel node 1.pngCDel 5.pngCDel rat.pngCDel 3x.pngCDel node.pngCDel 3.pngCDel node 1.png)
Elements
Vertex figureCrossed trapezoidal pyramid, edge lengths 1, 2, (5–1)/2, 2 (base), 2 (legs)
Cells20 triangular prisms, 30 cubes, 12 pentagrammic prisms, 2 quasirhombicosidodecahedra
Faces40 triangles, 60+60+60 squares, 24 pentagrams
Edges60+120+120
Vertices120
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesQrid–5/2–stip: 90°
 Qrid–3–trip: 90°
 Qrid–4–cube: 90°
 Trip–4–cube:
 Cube–4–stip:
Height1
Central density13
Euler characteristic0
Related polytopes
ArmySemi-uniform Tipe
RegimentGaddiddip
DualGreat deltoidal hexecontahedral tegum
ConjugateSmall rhombicosidodecahedral prism
Topological properties
OrientableYes
Properties
SymmetryH3×A1, order 240
ConvexNo
NatureTame

The quasirhombicosidodecahedral prism or qriddip is a prismatic uniform polychoron that consists of 2 quasirhombicosidodecahedra, 12 pentagrammic prisms, 20 triangular prisms, and 30 cubes. Each vertex joins 1 quasirhombicosidodecahedron, 1 pentagrammic prism, 1 triangular prism, and 2 cubes. As the name suggests, it is a prism based on the quasirhombicosidodecahedron.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]