A lattice cutting or slicing machine is disclosed. The machine includes a multi-knife lattice cutting plate (14) mounted in-line along a 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. These are formed by successive generally corrugated cuts that are angularly oriented perpendicular to each other and where 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.
