Abstract: Nested coordinate systems are used for the display and manipulation of multivariate data in any field including science, engineering, economics, demographics, business, and finance. A first, inner coordinate system contains a display corresponding to a subset of the variables while the other variables are held constant. Each axis of a second, outer coordinate system is associated with an additional variable. The coordinates of a distinguished point in the first coordinate system (e.g., its origin) fix a value for each of the outer coordinate system's variables that is held constant within the inner coordinate system and its descendants for the evaluation of data displayed within them. Analogously, the second coordinate system may be recursively nested in one or more additional coordinate systems to allow the system to handle an arbitrary number of variables. Each coordinate system may be of arbitrary dimension, 1-, 2-, and 3-D coordinate systems being most familiar to a user.