Metabidiminished icosahedron

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Metabidiminished icosahedron
Rank3
TypeCRF
Notation
Bowers style acronymMibdi
Coxeter diagramxfox oxfo&#xt
Elements
Faces2+2+2+4 triangles, 2 pentagons
Edges1+1+2+4+4+4+4
Vertices2+2+2+4
Vertex figures2+4 isosceles trapezoids, edge length 1, 1, 1, (1+5)/2
 2 isosceles triangles, edge lengths 1, (1+5)/2, (1+5)/2
 2 pentagons, edge length 1
Measures (edge length 1)
Circumradius
Volume
Dihedral angles3-3:
 3-5:
 5-5:
Central density1
Number of external pieces12
Level of complexity20
Related polytopes
ArmyMibdi
RegimentMibdi
DualMetabistellated dodecahedron
ConjugateMetabireplenished great icosahedron
Abstract & topological properties
Flag count80
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryK2×I, order 6
ConvexYes
NatureTame

The metabidiminished icosahedron is one of the 92 Johnson solids (J62). It consists of 2+2+2+4 triangles and 2 pentagons. It can be constructed by removing two non-opposite, non-adjacent vertices from a regular icosahedron.

Vertex coordinates[edit | edit source]

A metabidiminished icosahedron of edge length 1 has the following vertices:

External links[edit | edit source]