Date(s) - 20/01/2016
11:00 am - 12:00 pm
Kempe’s Universality Theorem for Rational Space Curves
Zijia Li, Johann Radon Institute for Computational and Applied Mathematics – RICAM – der Johannes Kepler Universität in Linz
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 explicit construction of the linkage.