triangulerede

Triangulerede is a Danish term used to describe something that has been produced by triangulation or that is arranged through triangulation. It is the past participle form of the verb triangulere and functions as an adjective or as part of a passive verb construction.

Etymology: The word is formed from triangulere, which in turn relates to triangulus, a Latin root meaning triangular. The term reflects the method of dividing space into triangles to determine positions, distances, or relationships.

Applications: In geodesy, surveying and mapping, triangulerede netværk or triangulerede målepunkter refer to networks of points connected by triangles, enabling estimation of coordinates and distances through triangulation. In computer graphics and 3D modeling, a trianguleret mesh or triangulerede flader describes surfaces and volumes composed exclusively of triangles, a common representation for rendering and simulation. In graph theory and algorithms, a trianguleret graf (triangulated graph) denotes a graph in which every cycle longer than three has a chord, a property that supports certain efficient computations and structural analyses.

See also: triangulation, triangulering, trianguleret graf, mesh generation, chordal graphs.