*Map Unavailable*

**Date/Time**

Date(s) - 20/01/2016*11:00 am - 12:00 pm*

**Location**

TU Wien, Freihaus, Dissertanzenzimmer

**Categories**

#### Topic

Kempe’s Universality Theorem for Rational Space Curves

Lecturer

Zijia Li, Johann Radon Institute for Computational and Applied Mathematics – RICAM – der Johannes Kepler Universität in Linz

#### 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 explicit construction of the linkage.

GCD Seminar