![]() ![]() There are 9 uniform honeycombs that include triangular prism cells: There are 4 uniform compounds of triangular prisms:Ĭompound of four triangular prisms, compound of eight triangular prisms, compound of ten triangular prisms, compound of twenty triangular prisms. * n32 symmetry mutation of expanded tilings: 3.4. These vertex-transitive figures have (*n32) reflectional symmetry. ![]() This polyhedron is topologically related as a part of sequence of cantellated polyhedra with vertex figure (3.4.n.4), and continues as tilings of the hyperbolic plane. Each half is a topological triangular prism. Related polyhedra and tilings A regular tetrahedron or tetragonal disphenoid can be dissected into two halves with a central square. Two lower C 3v symmetry facetings have one base triangle, 3 lateral crossed square faces, and 3 isosceles triangle lateral faces. There are two full D 3h symmetry facetings of a triangular prism, both with 6 isosceles triangle faces, one keeping the original top and bottom triangles, and one the original squares. It can be seen as a truncated trigonal hosohedron, represented by Schläfli symbol t Facetings All cross-sections parallel to the base faces are the same triangle.Īs a semiregular (or uniform) polyhedron Ī right triangular prism is semiregular or, more generally, a uniform polyhedron if the base faces are equilateral triangles, and the other three faces are squares. A uniform triangular prism is a right triangular prism with equilateral bases, and square sides.Įquivalently, it is a polyhedron of which two faces are parallel, while the surface normals of the other three are in the same plane (which is not necessarily parallel to the base planes). A right triangular prism has rectangular sides, otherwise it is oblique. In geometry, a triangular prism is a three-sided prism it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. For the optical prism, see Triangular prism (optics). ![]()
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