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In geometry, a triangular prism or trigonal prism [1] is a prism with 2 triangular bases. If the edges pair with each triangle's vertex and if they are perpendicular to the base, it is a right triangular prism. A right triangular prism may be both semiregular and uniform. The triangular prism can be used in constructing another polyhedron.
The square pyramid can be seen as a triangular prism where one of its side edges (joining two squares) is collapsed into a point, losing one edge and one vertex, and changing two squares into triangles. Geometric variations with irregular faces can also be constructed. Some irregular pentahedra with six vertices may be called wedges.
The base regularity of a pyramid's base may be classified based on the type of polygon: one example is the star pyramid in which its base is the regular star polygon. [28] The truncated pyramid is a pyramid cut off by a plane; if the truncation plane is parallel to the base of a pyramid, it is called a frustum.
Square pyramid; Triangular bipyramid; Triangular cupola; Triangular hebesphenorotunda; Triangular orthobicupola; Triaugmented dodecahedron; Triaugmented hexagonal prism; Triaugmented triangular prism; Triaugmented truncated dodecahedron; Tridiminished icosahedron; Tridiminished rhombicosidodecahedron; Trigyrate rhombicosidodecahedron
Pyramid: A polyhedron comprising an n-sided polygonal base and a vertex point square pyramid: Prism: A polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases hexagonal ...
Square pyramid; Triangular bipyramid; Triangular cupola; Triangular hebesphenorotunda; Triangular orthobicupola; Triaugmented dodecahedron; Triaugmented hexagonal prism; Triaugmented triangular prism; Triaugmented truncated dodecahedron; Tridiminished icosahedron; Tridiminished rhombicosidodecahedron; Trigyrate rhombicosidodecahedron
The dual polyhedron of the triaugmented triangular prism has a face for each vertex of the triaugmented triangular prism, and a vertex for each face. It is an enneahedron (that is, a nine-sided polyhedron) [ 16 ] that can be realized with three non-adjacent square faces, and six more faces that are congruent irregular pentagons . [ 17 ]
Pentagonal pyramids can be found in a small stellated dodecahedron. Pentagonal pyramids can be found as components of many polyhedrons. Attaching its base to the pentagonal face of another polyhedron is an example of the construction process known as augmentation, and attaching it to prisms or antiprisms is known as elongation or gyroelongation, respectively. [11]