Abstract: When the positions of two points within a uniform three dimensional space are known, this invention finds all the planes in the space that pass through an axis determined by those two points. It identifies all the points on each plane by their location and preserves their spatial relationship to one another within the three dimensional space. Every plane in a set of planes derived from a particular pair of points is defined by a unique formula. This invention is especially useful when the points represent units with characteristics dependent on their position in the space. Color systems exemplify this relationship.Several color systems exist in which all reproducible colors are arranged in a three dimensional color solid so that colors progressively change in lightness vertically, in saturation horizontally and in hue as the solid is rotated.