| Parabiaugmented dodecahedron | |
|---|---|
 | |
| Type | Johnson J58 – J59 – J60 |
| Faces | 10 triangles 10 pentagons |
| Edges | 40 |
| Vertices | 22 |
| Vertex configuration | 10(53) 10(32.52) 2(35) |
| Symmetry group | D5d |
| Properties | convex |
| Net | |
 | |
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 (J58), a metabiaugmented dodecahedron (J60), a triaugmented dodecahedron (J61), or even a pentakis dodecahedron if the faces are made to be irregular.
The dual of this solid is the gyroelongated pentagonal bifrustum.[ citation needed ]A Johnson solid is one of 92 strictly convex polyhedra that are composed of regular polygon faces but are not uniform polyhedra (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. [1]
