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arXiv · 1511.09002

Elementary proofs of Kempe universality

S. C. Power
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Abstract

An elementary proof is given to show that a parametrised algebraic curve in the plane may be traced out, in the sense of A. B. Kempe, by a finite pinned linkage. Additionally it is shown that any parametrised continuous curve \gamma: [0,1] to R^2 may be traced out by an infinite linkage where the valencies of the joints is uniformly bounded. We also discuss related Kempe universality theorems and give a novel correction of Kempe's original argument.

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S. C. Power. 2015-11-29. Elementary proofs of Kempe universality. https://arxiv.org/abs/1511.09002

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