The invention relates to a method for producing a base part of an artificial set of teeth or for producing an artificial set of teeth that has a base part, comprising the step of forming the base part by a rapid prototyping process, such as for example 3D lithography and, in particular, 3D laser lithography. The invention also relates to a method for creating a data record that specifies the form of a basic part of an artificial set of teeth, in which an area of the gums or a model thereof is scanned and/or a model of a base part is scanned and/or the form of the base part is simulated on a computer.