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The motion of systems of polygonal objects is characterized by discontinuities due to changes in the set of contacts between polygons. Effective simulations of such a motion requires a simulation scheme that can automatically update the set of contacts during the simulation. This article focuses on a contact updating problem that arises when a penalty based contact model is used. A penalty based model requires a finite overlap of contacting polygons. This overlap results in ambiguities in characterizing corner‐corner contact between polygons. A simple yet effective scheme to overcome such ambiguities is presented.

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