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arXiv · 1304.0398

Frameworks with forced symmetry I: Reflections and rotations

Justin Malestein·Louis Theran
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Abstract

We give a combinatorial characterization of generic frameworks that are minimally rigid under the additional constraint of maintaining symmetry with respect to a finite order rotation or a reflection. To establish these results we develop a new technique for deriving linear representations of sparsity matroids on colored graphs and extend the direction network method of proving rigidity characterizations to handle reflections.

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Justin Malestein, Louis Theran. 2013-04-01. Frameworks with forced symmetry I: Reflections and rotations. https://arxiv.org/abs/1304.0398

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