Tool modules for the Summa F Series flatbed cutter, each fitting the multi-module head. The range includes the heavy-duty tangential knife module, the drag-knife module, single-edge, double-edge, and heavy-duty cut-out tools, kiss-cutting tools, electronic and pneumatic oscillating tools for thick foams and rubbers, and a polishing tool. They let the F Series contour-cut, kiss-cut, and through-cut a wide range of rigid and flexible media. Direct-fit tooling for the Summa F-series.