triangulären

Triangulären is the definite inflected form of the German adjective triangulär, meaning triangular. It is used to describe nouns that are triangular in shape, relate to triangles, or are composed of triangles. In German, adjectives following definite articles take endings that reflect gender, number, and case; triangulären appears in several contexts, most notably in the dative plural after a definite article (den triangulären Mustern) and in other inflected forms within formal or technical prose.

Etymology and form: The adjective triangulär derives from the Latin triangulus, “little triangle,” via French triangulaire into German. The ending -en shown in triangulären results from standard German adjective inflection rules when necessary cases and numbers are indicated with a definite determiner.

Usage and contexts: In mathematics, computer graphics, architecture, and related fields, triangulären is used to describe triangular elements, networks, or patterns. Examples include phrases like triangulären Mustern (triangular patterns) or triangulären Netzen (triangular networks) when required by case, number, and definiteness. The term also appears in compound expressions such as trianguläre Fläche (triangular surface) or triangulären Netz (triangulated network), typically in technical documentation or scholarly writing.

See also: Triangulation, Triangular lattice, Mesh generation, Delaunay triangulation.