A machine for cutting products, the machine comprising: a casing comprising a circumferential wall, a circumferential opening in the wall, an adjustable slice gate that partially closes the opening, and a slicing knife oriented parallel to an axis of the casing and to an adjacent edge of the slice gate to define therewith a gate opening, the slice gate having a surface facing an interior of the casing and having a plurality of channels defined therein that are circumferentially oriented with respect to the casing; an impeller adapted for rotation within the casing about the axis thereof to cause a product within the impeller to be held by centrifugal force against the wall of the casing and held by centrifugal force within one of the channels of the slice gate as the product is carried past the slicing knife to form a cut through the product during a rotation of the impeller, the impeller comprising a circumferential series of pockets that are circumferentially oriented with respect to the casing so that the product is circumferentially oriented with respect to the casing and the cut through the product is a first longitudinal cut and a substantially longitudinally sliced product is produced; and circular knives oriented substantially perpendicular to the slicing knife and adapted to form at least a second longitudinal cut through the sliced product to produce strip-cut products, the machine characterised in that the impeller comprises: annular rings that define annular-shaped cavities that are parallel to each other within the impeller; and paddles oriented transverse to the annular rings and cavities to define the pockets as sectors of the cavities, and wherein each of the channels of the slice gate is individually circumferentially aligned with one of the cavities of the impeller. a casing comprising a circumferential wall, a circumferential opening in the wall, an adjustable slice gate that partially closes the opening, and a slicing knife oriented parallel to an axis of the casing and to an adjacent edge of the slice gate to define therewith a gate opening, the slice gate having a surface facing an interior of the casing and having a plurality of channels defined therein that are circumferentially oriented with respect to the casing; an impeller adapted for rotation within the casing about the axis thereof to cause a product within the impeller to be held by centrifugal force against the wall of the casing and held by centrifugal force within one of the channels of the slice gate as the product is carried past the slicing knife to form a cut through the product during a rotation of the impeller, the impeller comprising a circumferential series of pockets that are circumferentially oriented with respect to the casing so that the product is circumferentially oriented with respect to the casing and the cut through the product is a first longitudinal cut and a substantially longitudinally sliced product is produced; and circular knives oriented substantially perpendicular to the slicing knife and adapted to form at least a second longitudinal cut through the sliced product to produce strip-cut products, the machine characterised in that the impeller comprises: annular rings that define annular-shaped cavities that are parallel to each other within the impeller; and paddles oriented transverse to the annular rings and cavities to define the pockets as sectors of the cavities, and wherein each of the channels of the slice gate is individually circumferentially aligned with one of the cavities of the impeller. annular rings that define annular-shaped cavities that are parallel to each other within the impeller; and paddles oriented transverse to the annular rings and cavities to define the pockets as sectors of the cavities, and wherein each of the channels of the slice gate is individually circumferentially aligned with one of the cavities of the impeller.