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Basic three-dimensional cell shapes. The basic 3-dimensional element are the tetrahedron, quadrilateral pyramid, triangular prism, and hexahedron. They all have triangular and quadrilateral faces. Extruded 2-dimensional models may be represented entirely by the prisms and hexahedra as extruded triangles and quadrilaterals.
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.
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 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.
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 ]
b = the base side of the prism's triangular base, h = the height of the prism's triangular base L = the length of the prism see above for general triangular base Isosceles triangular prism: b = the base side of the prism's triangular base, h = the height of the prism's triangular base
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
An elongated triangular pyramid with edge length has a height, by adding the height of a regular tetrahedron and a triangular prism: [4] (+). Its surface area can be calculated by adding the area of all eight equilateral triangles and three squares: [2] (+), and its volume can be calculated by slicing it into a regular tetrahedron and a prism, adding their volume up: [2]: ((+)).