Triangulation (disambiguation)
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Triangulation refers to measurement by using triangles. The term triangulation may also refer to:
[edit] Cartography
- Triangulation (cartography) is much used in making maps
[edit] Mathematics and computer science
- Triangulation, in advanced geometry, involves the division of the Euclidean plane into triangles, or of a higher-dimensional Euclidean space into simplices
- In computational geometry and geometric graph theory, triangulation may be performed for various objects: see:
- The result of a triangulation of this type is a planar graph embedded in the plane so that its interior faces are triangles, but the exterior face need not be a triangle.
- The concept of geometrical triangulation can also be generalized to topological spaces other than Rd: see triangulation (topology)
- In graph theory, a triangulation can refer to multiple unrelated concepts:
- A maximal planar graph is a planar graph to which no edge can be added while preserving planarity. All faces of any embedding of the graph are triangles, and the graph has a unique embedding as a topological triangulation of a sphere. Maximal planar graphs are sometimes called triangulations, and if a planar graph G is a subgraph of a maximal planar graph H then H may be called a triangulation of G.
- As a generalization of maximal planar graphs, a locally cyclic graph corresponds uniquely to a Whitney triangulation of a surface, an embedding of the graph in which every face is a triangle and every triangle is a face.
- Chordal graphs are sometimes called triangulated graphs. As in the planar case, if a graph G is a subgraph of a chordal graph H, H may be called a triangulation of G.
- In category theory a triangulated category is a mathematical category satisfying some axioms that are based on the properties of a derived category.
[edit] Other fields
- Triangulation, in the social sciences, refers to the use of multiple cross-checked sources and methodology
Category: Psychology
- Triangulation, in domestic abuse/family dynamics, refers to the roles people can fall into: persecutor, rescuer, and victim
- Triangulation (family dynamics) in the creation of the Black sheep family stability triangle. See The Mother of all Triangles Louis Wynne, Ph.D. (the concept of family triangulation (Heilveil, 1998; Kerr and Bowen, 1988; McGoldrick and Gerson, 1985; Minuchin, Rosman, and Baker, 1978; Nichols, 1988).)
- Triangulation, in chess, is a tactical maneuver in which the king moves in a triangle to force an enemy pawn to move
- Triangulation, in politics is the act of a candidate presenting his ideology as "above and between" the left and right side of the political spectrum
- Triangulation is a podcast from Leo Laporte
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