Parabiaugmented dodecahedron
Encyclopedia
In geometry
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....

, the parabiaugmented dodecahedron is one of the Johnson solid
Johnson solid
In geometry, a Johnson solid is a strictly convex polyhedron, each face of which is a regular polygon, but which is not uniform, i.e., not a Platonic solid, Archimedean solid, prism or antiprism. There is no requirement that each face must be the same polygon, or that the same polygons join around...

s (J59). It can be seen as a dodecahedron with two pentagonal pyramid
Pentagonal pyramid
In geometry, a pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point . Like any pyramid, it is self-dual....

s attached to opposite faces. When pyramids are attached to a dodecahedron in other ways, they may result in an augmented dodecahedron
Augmented dodecahedron
In geometry, the augmented dodecahedron is one of the Johnson solids , consisting of a dodecahedron with a pentagonal pyramid attached to one of the faces...

, a metabiaugmented dodecahedron
Metabiaugmented dodecahedron
In geometry, the metabiaugmented dodecahedron is one of the Johnson solids . It can be viewed as a dodecahedron with two pentagonal pyramids attached to two faces that are separated by one face...

, a triaugmented dodecahedron
Triaugmented dodecahedron
In geometry, the triaugmented dodecahedron is one of the Johnson solids .The 92 Johnson solids were named and described by Norman Johnson in 1966.-External links:**...

, or a small stellated dodecahedron.

The 92 Johnson solids were named and described by Norman Johnson in 1966.

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