A cutting device, knife carrier suitable for use in the cutting device, a cutting system and method for cutting a strand of stacked bands of a food product are disclosed. The cutting device, knife carrier, cutting system and method combine a transverse cutting knife with a diagonal cutting knife disposed at an oblique angle with respect to the transverse cutting knife. The diagonal cutting knife diagonally cuts the stack simultaneously with transverse cutting of the stack by the transverse cutting knife to form substantially triangular prism shaped stacks made of corresponding substantially triangular shaped slices. A food product obtainable by the method is disclosed, wherein (a) the food product comprises at least two stacks of food product, wherein the edges of individual slices forming the hypotenuse of one substantially triangular prism shaped stack are disposed adjacent to the edges of the individual slices forming the hypotenuse of the other substantially triangular prism shaped stack in one-to-one relation to one another and/or (b) the substantially triangular footprint of each stack is in the form of a quadrilateral, wherein at least 80 percent of the surface area of the quadrilateral is triangular.
