Nowadays,　the　management　of　product　geometrical　variations　during　the　whole　product　development　process　is　an　important　issue　for　companies＇　competitiveness.　During　the　design　phase,　geometric　functional　requirements　and　tolerances　are　derived　from　the　design　intent.　Furthermore,　the　manufacturing　and　measurement　stages　are　two　main　geometric　variations　generators　according　to　the　two　well-known　axioms　of　manufacturing　imprecision　and　measurement　uncertainty.　GeoSpelling　as　the　basis　of　the　geometrical　product　specification　standard　enables　a　comprehensive　modeling　framework　and　an　unambiguous　language　to　describe　geometric　variations　covering　the　overall　product　lifecycle　thanks　to　a　set　of　concepts　and　operations　based　on　the　fundamental　concept　of　the　＂Skin　Model.＂　In　contrast,　only　few　research　studies　have　focused　on　the　skin　model　representation　and　simulation.　The　skin　model　as　a　discrete　shape　model　is　the　main　focus　of　this　work.　We　investigate　here　discrete　shape　and　variability　modeling　fundamentals,　Markov　Chain　Monte　Carlo　simulation　techniques　and　statistical　shape　analysis　methods　to　represent,　simulate,　and　analyze　skin　models.　By　means　of　a　case　study　based　on　a　cross-shaped　sheet　metal　part,　the　results　of　the　skin　model　simulations　are　shown　here,　and　the　performances　of　the　simulations　are　described.