GeoSpelling as the basis of the Geometrical Product Specifications (GPS) standard [1] enables a
comprehensive modeling framework and an unambiguous language to describe geometrical variations
during the overall product life cycle. This is accomplished by providing a set of concepts and operations
based on the fundamental concept of the “Skin Model”. However, the definition of GeoSpelling has not been
successfully completed. This paper presents a novel approach for a formal description of GeoSpelling
concepts. In addition to mapping fundamental concepts and operations to discrete geometry objects, we
investigate the use of Monte Carlo Simulation techniques for skin model simulation when considering
geometrical specifications. The results of the skin model simulations and visualizations are shown and the
performances of the described simulation methods are compared to each other.