Abstract: A method and apparatus for processing of planar rigid materials is provided whereby the edges of separate materials can be processed simultaneously, quickly and efficiently. Separate planar materials are moved in position and are clamped in place in horizontal alignment. Thereafter a grinding wheel moves between the opposing edges of the planar materials to abrade the leading edge of one of the materials and the trailing edge of the second opposing material. The process describes abrading both the longitudinal and lateral edges of rectangular shaped materials moved along conveyors, such planar materials being glass, ceramic, stone or the like.