A method for configuring hollow helical or circular impellers and their static cages including the following steps: - entering basic configuration parameters offered as an option, such as: • the conventional mechanical elements making it possible to incorporate the impellers and cages into their application environment, • the dimensional values, such as overall length, inner and outer diameters, • the quantity of each component element, and • the determination of the selected rotation directions; - entering mathematical parameters corresponding to the known geometric shapes that will determine the outer and inner revolution surfaces swept by the impellers, or those of the cages that contain the impellers, and the outer shapes of the cages; - continuously checking the compatibility of the values of the introduced parameters; and - determining evolutive pitches of the helical component elements that are defined either by the conventional mathematical formulas, or preferably by the indication of at least two given values on specified points placed on the length of the hollow helical impellers and their static cages, characterized in that it includes a step for - configuring profiles and other data specific to the circular and helical elements, which consists of designing each leading and trailing edge (3 and 4), using geometric figures that have a center of reference (5 and 6), and next connecting them using portions of geometric figures that also have a center of reference (7 and 8), and thus defining the areas of the bodies of the evolutive component elements. - entering basic configuration parameters offered as an option, such as: • the conventional mechanical elements making it possible to incorporate the impellers and cages into their application environment, • the dimensional values, such as overall length, inner and outer diameters, • the quantity of each component element, and • the determination of the selected rotation directions; • the conventional mechanical elements making it possible to incorporate the impellers and cages into their application environment, • the dimensional values, such as overall length, inner and outer diameters, • the quantity of each component element, and • the determination of the selected rotation directions; - entering mathematical parameters corresponding to the known geometric shapes that will determine the outer and inner revolution surfaces swept by the impellers, or those of the cages that contain the impellers, and the outer shapes of the cages; - continuously checking the compatibility of the values of the introduced parameters; and - determining evolutive pitches of the helical component elements that are defined either by the conventional mathematical formulas, or preferably by the indication of at least two given values on specified points placed on the length of the hollow helical impellers and their static cages, - configuring profiles and other data specific to the circular and helical elements, which consists of designing each leading and trailing edge (3 and 4), using geometric figures that have a center of reference (5 and 6), and next connecting them using portions of geometric figures that also have a center of reference (7 and 8), and thus defining the areas of the bodies of the evolutive component elements.