ijkpunt

Ijkpunt is a Dutch term that may appear in informal discussions to refer to a point in a three-dimensional lattice identified by a triple of indices (i, j, k). It is not a standard term in formal mathematics, but it is sometimes used as a convenient shorthand in contexts dealing with discrete 3D grids, such as computational grids, voxel representations, or multi-dimensional arrays.

Definition and notation

An ijkpunt is a point with integer coordinates (i, j, k) in three-dimensional space, typically belonging to the set Z^3. In practical applications, the indices i, j, and k index positions along three orthogonal directions, corresponding to x, y, and z or to array dimensions. The concept emphasizes the triple nature of the coordinates, distinguishing it from single or dual index points.

Properties and relations

Common relations for ijkpunt coordinates include neighbor relationships in a regular grid. The six-neighborhood consists of the points (i±1, j, k), (i, j±1, k), and (i, j, k±1). Distances are often measured with Manhattan or Euclidean metrics adapted to the discrete grid. In computations, ijkpunt coordinates map directly to elements in three-dimensional arrays, voxel grids, or lattice-based models.

Applications and context

Ijkpunt appears in discussions about discrete 3D structures such as finite-difference grids, cellular automata, 3D image processing, or lattice-based simulations in physics and chemistry. Because the term is informal, it is more commonly encountered in project notes, tutorials, or specialized literature than in formal textbooks.

See also

Lattice point, grid point, voxel, Cartesian coordinates, index triple.