Biaugmented triangular prism
Encyclopedia
In geometry
, the biaugmented triangular prism is one of the Johnson solid
s (J50). As the name suggests, it can be constructed by augmenting a triangular prism
by attaching square pyramid
s (J1) to two of its equatorial faces.
It is related to the augmented triangular prism
(J49) and the triaugmented triangular prism
(J51).
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 biaugmented triangular prism 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 (J50). As the name suggests, it can be constructed by augmenting a triangular prism
Prism (geometry)
In geometry, a prism is a polyhedron with an n-sided polygonal base, a translated copy , and n other faces joining corresponding sides of the two bases. All cross-sections parallel to the base faces are the same. Prisms are named for their base, so a prism with a pentagonal base is called a...
by attaching square pyramid
Square pyramid
In geometry, a square pyramid is a pyramid having a square base. If the apex is perpendicularly above the center of the square, it will have C4v symmetry.- Johnson solid :...
s (J1) to two of its equatorial faces.
It is related to the augmented triangular prism
Augmented triangular prism
In geometry, the augmented triangular prism is one of the Johnson solids . As the name suggests, it can be constructed by augmenting a triangular prism by attaching a square pyramid to one of its equatorial faces...
(J49) and the triaugmented triangular prism
Triaugmented triangular prism
In geometry, the triaugmented triangular prism is one of the Johnson solids . As the name suggests, it can be constructed by attaching square pyramids to each of the three equatorial faces of the triangular prism...
(J51).
The 92 Johnson solids were named and described by Norman Johnson in 1966.