A computer-implemented method of generating a virtual model of a set of teeth for manufacturing a physical model of the set of teeth includes providing a virtual model of the set of teeth generating a cavity in said gingival part, into which cavity a removable component fits, where the removable component and the cavity are configured to provide a gap at an interface； and providing for supporting and positioning the removable component in the cavity, wherein the area of contact between the removable component and the cavity wall at the interface is controlled by the shape of the adjoining surfaces of the supporting and positioning and the other of the removable component and the cavity wall.
