Parabidiminished rhombicosidodecahedron

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Parabidiminished rhombicosidodecahedron
Parabidiminished rhombicosidodecahedron 2.png
Rank3
TypeCRF
SpaceSpherical
Notation
Bowers style acronymPabidrid
Elements
Faces10 triangles, 10+10 squares, 10 pentagons, 2 decagons
Edges10+10+10+20+20+20
Vertices10+20+20
Vertex figures30 isosceles trapezoids, edge length 1, 2, (1+5)/2, 2
 20 scalene triangles, edge lengths 2, (1+5)/2, (5+5)/2
Measures (edge length 1)
Circumradius
Volume
Dihedral angles3–4:
 4–5:
 4–10:
 5–10:
Central density1
Related polytopes
ArmyPabidrid
RegimentPabidrid
DualParabistellated deltoidal hexecontahedron
ConjugateParabireplenished quasirhombicosidodecahedron
Abstract & topological properties
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryI2(10)×A1/2, order 20
ConvexYes
NatureTame

The parabidiminished rhombicosidodecahedron is one of the 92 Johnson solids (J80). It consists of 10 triangles, 10+10 squares, 10 pentagons, and 2 decagons. It can be constructed by removing two opposite pentagonal cupolaic caps of the small rhombicosidodecahedron.

Vertex coordinates[edit | edit source]

A parabidiminished rhombicosidodecahedron of edge length 1 has vertices given by:

External links[edit | edit source]