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FRAMEWORKS SYMMETRY AND RIGIDITY

FRAMEWORKS SYMMETRY AND RIGIDITY

Symmetry equations are obtained for the rigidity matrix of a bar-joint framework in ℝ d . These form the basis for a short proof of the Fowler-Guest symmetry group generalisation of the Calladine-Maxwell counting rules. Similar symmetry equations are obtained for the Jacobian of diverse framework systems, including constrained point-line …