triangulära

Triangulära is a Swedish adjective meaning triangular or relating to a triangle. It derives from the Latin triangulus, via French triangulaire, built from tri- (three) and angulus (angle). In Swedish, triangulära is used to describe shapes, structures, and methods that involve triangles or triangle-like forms.

In geometry and mathematics, triangulära describes anything with three sides, most commonly triangles themselves. A triangle is a basic polygon; its interior angles sum to 180 degrees. Triangles are categorized by side length (equilateral, isosceles, scalene) or by angles (acute, right, obtuse).

In linear algebra and matrix theory, triangulär matris (pl. triangulära matriser) is the Swedish term for a triangular matrix. The upper variant, övre triangulär matris, has zeros below the main diagonal; the lower variant, nedre triangulär matris, has zeros above it. Triangular matrices are used in solving linear systems and in factorization methods such as LU decomposition.

In surveying and geodesy, triangulering (triangulation) uses a network of triangles to determine locations and distances over large areas. A triangulärt nät describes such a triangular framework essential for mapmaking, navigation, and spatial measurements.

In computer graphics and 3D modelling, triangulära meshes partition surfaces into triangles, which simplifies rendering, shading, and collision detection. Triangulära elements are common because triangles are inherently planar and computationally robust.

In design and architecture, triangulära forms describe features with triangular geometry, often conveying stability, efficiency, or a distinctive visual language.