The invention relates to a method for the construction of a shaped body from photopolymerizable material by using lithography-based generative production (rapid prototyping), in which a layer of liquid photopolymerizable material is defined on a production platform (1, 2, 3, 4), the layer is polymerized in an exposure region having a predetermined contour by exposure, a further layer of photopolymerizable material is defined on the polymerized layer, the layer defined last is polymerized by exposure in an exposure region having a predetermined contour for the layer defined last, and the latter two steps are repeated until a shaped body having a predetermined shape has been formed by the sequence of cured layers with contours predetermined layer by layer, wherein ink is applied onto at least one layer inside the predetermined contour, wherein the production platform is suspended moveably and wherein the production platform is brought, after the polymerization of a layer in a processing station for polymerizing a layer, by movement to an ink application station as a further processing station in which ink is applied position-selectively to the layer formed last, after which the production platform is moved again to the processing station for polymerizing a further layer, characterized in that the movement of the production platform between various processing stations is carried out by rotating a drum-shaped carrier which holds the production platform on its circumference, around a horizontal or vertical axis of rotation, wherein the processing stations are disposed distributed around the axis of rotation of the drum shaped carrier.