Trisha Shetty (Editor)

Parabiaugmented dodecahedron

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Edges
  
40

Vertex configuration
  
10(5) 10(3.5) 2(3)

Vertices
  
22

Symmetry group
  
D5d

Parabiaugmented dodecahedron

Type
  
Johnson J58 - J59 - J60

Faces
  
10 triangles 10 pentagons

In geometry, the parabiaugmented dodecahedron is one of the Johnson solids (J59). It can be seen as a dodecahedron with two pentagonal pyramids (J2) attached to opposite faces. When pyramids are attached to a dodecahedron in other ways, they may result in an augmented dodecahedron, a metabiaugmented 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

Parabiaugmented dodecahedron Wikipedia