Planár

Planár is an adjective used in several languages, notably Hungarian, to denote something related to a plane or to two-dimensional space. The form derives from Latin planus, "flat," and is cognate with the English term planar. In technical contexts, planár signals a property tied to a plane geometry or a flat surface.

In mathematics, planár commonly appears in phrases such as planar geometry, planar graphs, and planar projections. Planar geometry studies figures confined to a single plane. A planar graph is one that can be drawn on a plane without crossing edges. Planarity testing algorithms determine whether a given graph has a planar embedding.

In chemistry, planár describes molecules that are flat, with all atoms in one geometric plane. Planar molecules often exhibit distinct electronic properties, for example aromatic systems such as benzene.

In computer graphics and computer vision, planar concepts include projection onto a plane, planar homographies, and textures mapped onto planar surfaces. Planarization is a process that produces flat surfaces, for instance in manufacturing or semiconductor fabrication.

In biology, planar polarity (planar cell polarity) refers to the uniform orientation of cells within the tissue plane, which is important for proper development and tissue organization.

See also: plane, plane geometry, planar graph, planarity, two-dimensional, flat.