Abstract: A method is provided for displaying intersections and expansions of three dimensional volumes comprising the steps of representing a volume in a binary-enumerated three dimensional array format wherein data points outside the volume are set to a first value and data points inside the at least one volume are set to a second value. Surface data points of the volume are determined by comparing each data point with neighboring data points and selecting data points which have neighboring data points which differ in value as the surface data points. The surface data points are classified wherein the classifications comprise at least one of corners bent in three dimensions, edges bent in two directions, flat surfaces, arcs, and rounded surfaces with the classifications stored and the surface points displayed. The method can further comprise processing an intersection between two volumes wherein each volume is represented in the binary-enumerated three-dimensional array format.