Abstract: A method for utilizing an intellectual structure for visualizing a system of multi-variate data points in a parallel coordinate system, identifying an area of interest within the system, and then transforming a selected portion of the system for visualization in single-point representations of n-dimensional points using broken-line parallel coordinates, where the n point representations of conventional parallel coordinates are brought back into a single point representation that is the single point vector resultant of n dimensional spaces viewable in familiar three dimensional display space.