A stationary slicing head assembly for use with a centrifugal slicing machine for cutting vegetables into slices. The assembly includes a plurality of slicing shoes serially arranged around an impeller having an axis of rotation. A first end of each slicing shoe is positioned adjacent to a second end of a juxtaposed slicing shoe. A plurality of serially arranged knife blades, each knife blade being secured to the first end of a slicing shoe, wherein each knife blade has a cutting edge/has a cutting edge profile defined with respect to the shape of the cutting edge defining a two-dimensional shape of a cut surface produced by the cutting edge. Some of the knife blades are first knife blades which have a first profile, and second knife blades have a second profile. The arrangement of the first and second knife blades configured to cut first and second slices from a vegetable.