gridtypen

Gridtypen refers to the typology or classification of grid systems used to organize space, data, or layout in various disciplines. There is no universal taxonomy; grids are usually categorized by geometry, regularity, and topology. Regular grids include square (rectangular) grids and rotated variants, which offer simple indexing and uniform spacing. Hexagonal grids provide six equidistant neighbors, improving sampling efficiency and pathfinding in some contexts. Triangular grids use equilateral triangles and offer high connectivity. Circular or polar grids organize space in concentric rings, useful for radial data visualization. Irregular or unstructured grids forego uniform cell shapes to fit complex domains, common in finite element meshes and some GIS representations.

Applications span geographic information systems for map tiling and spatial indexing; urban planning and architecture for site layout; computer graphics and video games for rendering and collision detection; and numerical simulations in engineering and science using structured or unstructured meshes. Gridtypen can be transformed through rotation, scaling, refinement, or the introduction of anisotropy to reflect directional properties. The choice of gridtypen depends on domain geometry, accuracy requirements, and computational constraints. See also tessellations, grid layout, and mesh generation.