Bigyrate diminished rhombicosidodecahedron

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Bigyrate diminished rhombicosidodecahedron
Bigyrate diminished rhombicosidodecahedron 2.png
Rank3
TypeCRF
SpaceSpherical
Notation
Bowers style acronymBagydrid
Elements
Faces3×1+6×2 triangles, 3×1+11×2 squares, 3×1+4×2 pentagons, 1 decagon
Edges7×1+49×2
Vertices3×1+26×2
Vertex figures10+15 isosceles trapezoids, edge length 1, 2, (1+5)/2, 2
 10 scalene triangles, edge lengths 2, (1+5)/2, (5+5)/2
 20 irregular tetragons, edge lengths 1, 2, 2, (1+5)/2
Measures (edge length 1)
Circumradius
Volume
Dihedral angles3–4:
 3–5:
 4–4:
 4–5:
 4–10:
 5–10:
Central density1
Related polytopes
ArmyBagydrid
RegimentBagydrid
DualBideltogyrate stellated deltoidal hexecontahedron
ConjugateBigyrate replenished quasirhombicosidodecahedron
Abstract & topological properties
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryA1×I×I, order 2
ConvexYes
NatureTame

The bigyrate diminished rhombicosidodecahedron is one of the 92 Johnson solids (J79). It consists of 3×1+6×2 triangles, 3×1+11×2 squares, 3×1+4×2 pentagons, and 1 decagon. It can be constructed by removing one of the pentagonal cupolaic caps of the small rhombicosidodecahedron, and rotating two further non-opposite caps by 36°.

Vertex coordinates[edit | edit source]

A bigyrate diminished rhombicosidodecahedron of edge length 1 has vertices given by:

External links[edit | edit source]