Parabiaugmented dodecahedron
Encyclopedia
In geometry
, the parabiaugmented dodecahedron is one of the Johnson solid
s (J59). It can be seen as a dodecahedron with two pentagonal pyramid
s 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 a small stellated dodecahedron.
The 92 Johnson solids were named and described by Norman Johnson in 1966.
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.