Metabidiminished rhombicosidodecahedron

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Metabidiminished rhombicosidodecahedron
Rank3
TypeCRF
Notation
Bowers style acronymMabidrid
Elements
Faces2+2+2+4 triangles, 1+1+2+4+4+4+4 squares, 2+2+2+4 pentagons, 2 decagons
Edges7×2+19×4
Vertices2+2+2+4+4+4+4+4+4+4+4+4+4+4
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
Number of external pieces42
Level of complexity90
Related polytopes
ArmyMabidrid
RegimentMabidrid
DualMetabistellated deltoidal hexecontahedron
ConjugateMetabireplenished quasirhombicosidodecahedron
Abstract & topological properties
Flag count360
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryK2×I, order 4
ConvexYes
NatureTame

The metabidiminished rhombicosidodecahedron is one of the 92 Johnson solids (J81). It consists of 2+2+2+4 triangles, 1+1+2+4+4+4+4 squares, 2+2+2+4 pentagons, and 2 decagons. It can be constructed by removing two non-opposite pentagonal cupolaic caps of the small rhombicosidodecahedron.

Vertex coordinates[edit | edit source]

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

  • ,
  • ,
  • ,
  • ,
  • ,
  • ,
  • ,
  • ,
  • .

External links[edit | edit source]