Samiksha Jaiswal (Editor)

Augmented dodecahedron

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Edges
  
35

Vertex configuration
  
3.5(5) 5(3.5) 1(3)

Vertices
  
21

Symmetry group
  
C5v

Augmented dodecahedron

Type
  
Johnson J57 - J58 - J59

Faces
  
5 triangles 11 pentagons

In geometry, the augmented dodecahedron is one of the Johnson solids (J58), consisting of a dodecahedron with a pentagonal pyramid (J2) attached to one of the faces. When two or three such pyramids are attached, the result may be a parabiaugmented dodecahedron, a metabiaugmented dodecahedron or a triaugmented dodecahedron.

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

Augmented dodecahedron Wikipedia