2013/04/01 by Justin Malestein, Louis Theran, Malestein, Justin +1
Engineering · Computer Science · Mathematics · #Structural Analysis and Optimization #Computational Geometry and Mesh Generation #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1304.0756
We give a combinatorial characterization of minimally rigid planar frameworks\nwith orientation-preserving crystallographic symmetry, under the constraint of\nforced symmetry. The main theorems are proved by extending the methods of the\nfirst paper in this sequence from groups generated by a single rotation to\ngroups generated by translations and rotations. The proofs make use of a new\nfamily of matroids defined on crystallographic groups and associated submodular\nfunctions.\n