Supriya Ghosh (Editor)

Metabiaugmented dodecahedron

Updated on
Edit
Like
Comment
Share on FacebookTweet on TwitterShare on LinkedInShare on Reddit
Edges
  
40

Symmetry group
  
C2v

Vertices
  
22

Metabiaugmented dodecahedron

Type
  
Johnson J59 - J60 - J61

Faces
  
2+2.4 triangles 3.2+4 pentagons

Vertex configuration
  
3.2+4(5) 2+2.4(3.5) 2(3)

In geometry, the metabiaugmented dodecahedron is one of the Johnson solids (J60). It can be viewed as a dodecahedron with two pentagonal pyramids (J2) attached to two faces that are separated by one face. (The two faces are not opposite, but not adjacent either.) When pyramids are attached to a dodecahedron in other ways, they may result in an augmented dodecahedron, a parabiaugmented dodecahedron, a triaugmented dodecahedron, or even a pentakis dodecahedron if the faces are made to be irregular.

A Johnson solid is one of 92 strictly convex polyhedra that have regular faces but are not uniform (that is, they are not Platonic solids, Archimedean solids, prisms or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966.

References

Metabiaugmented dodecahedron Wikipedia