Methods and equipment suitable for slicing products into lattice-type slices or chips. The methods and equipment utilize a knife assembly that includes a corrugated knife having oppositely-disposed surfaces that terminate at a cutting edge. The knife assembly further includes a knife holder having a registration surface and an oppositely-disposed knife seat configured to mated with a first surface of the corrugated knife, and means for securing the knife to the knife seat of the knife holder. The knife seat comprises a pattern of peaks and valleys complementary to a pattern of peaks and valleys in the first surface of the corrugated knife. The securing means cooperates with the knife holder to inhibit accumulation of solids of products along at least one of the first and second surfaces of the corrugated knife, and/or stabilizes the knife by reducing a cantilevered beam length thereof.