Kantlängen

Kantlängen is not a standard term in contemporary German mathematics and is typically considered a variant or misspelling of Kantenlänge, which denotes edge length. The concept described by Kantlängen corresponds to the lengths of edges in polygons or polyhedra. In a polygon with vertices, the Kantlängen are the distances between consecutive vertices (and the closing edge between the last and first vertex). In a polyhedron, Kantlängen are the lengths of all its edges; a regular solid has equal Kantlängen, while irregular solids have a set of varying Kantlängen.

In practice, Kantlängen are central to many geometric calculations. They determine the perimeter of polygons, influence mesh construction in computational geometry, and serve as input data for reconstructing models from edge measurements. In coordinate form, Kantlängen can be computed from vertex coordinates using the Euclidean distance formula. For two points in 3D, the distance is the square root of the sum of squared coordinate differences.

Terminology note: standard German terminology prefers Kantenlänge for a single edge and Kantenlängen for multiple edges. If you encounter Kantlängen, interpret it as referring to edge lengths and check the source for exact intent. In any case, the underlying concept aligns with the lengths of edges in planar or spatial figures. See also Kantenlänge for a more common formulation.