Many operations and algorithms involve creating regular grids in space, in which each point corresponds to a certain coordinate position. These grids are conveniently represented in different ways for different purposes; the Wolfram Language provides a collection of functions for generating, analyzing, and converting grids.

One-Dimensional Lists

Range — range of values in equal steps

Subdivide — list of values from equal subdivisions

Multidimensional Arrays

CoordinateBoundsArray — array of coordinates defined by bounds in each dimensions

CoordinateBoundingBoxArray — array of coordinates defined by a bounding box

Array Structures

Length — number of elements in a list

Array Bounds

MinMax — min, max values in a list, potentially with padding added

CoordinateBounds — {{x_min,x_max},{y_min,y_max},…} for coordinates

CoordinateBoundingBox — {{x_min,y_min,…},{x_max,y_max,…}} for coordinates

RegionBounds  ▪  GeoBounds  ▪  GeoBoundingBox

LatticeData — data on regular lattices