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arXiv · 1509.08690

Kempe's Universality Theorem for Rational Space Curves

Zijia Li·Josef Schicho·Hans-Peter Schröcker
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Abstract

We prove that every bounded rational space curve of degree d and circularity c can be drawn by a linkage with 9/2 d - 6c + 1 revolute joints. Our proof is based on two ingredients. The first one is the factorization theory of motion polynomials. The second one is the construction of a motion polynomial of minimum degree with given orbit. Our proof also gives the explicity construction of the linkage.

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Zijia Li, Josef Schicho, Hans-Peter Schröcker. 2015-09-29. Kempe's Universality Theorem for Rational Space Curves. https://doi.org/10.1007/s10208-017-9348-x

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