Periodic rigidity on a variable torus using inductive constructions (Q490294)
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| English | Periodic rigidity on a variable torus using inductive constructions |
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Periodic rigidity on a variable torus using inductive constructions (English)
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22 January 2015
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Summary: In this paper we prove a recursive characterisation of generic rigidity for frameworks periodic with respect to a partially variable lattice. We follow the approach of modelling periodic frameworks as frameworks on a torus and use the language of gain graphs for the finite counterpart of a periodic graph. In this setting we employ variants of the Henneberg operations used frequently in rigidity theory.
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periodic framework
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generic rigidity
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Henneberg operation
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