<p>A lattice cutting or slicing machine includes a multi-knife lattice cutting plate mounted in-line along an hydraulic flow path through which vegetable products such as potatoes are propelled in single file by a hydraulic fluid such as water. The lattice cutting plate is orbitally driven for engaging in succession each of the multiple knives thereon with the vegetable product to form lattice cut slices wherein successive generally corrugated cuts are angularly oriented typically perpendicular to each other, and further wherein the depths or troughs of the corrugated cuts on opposite sides of each slice intersect in the preferred form to define a pattern of corrugations interrupted by small openings.</p>