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Motion Polynomials and Planar Linkages

Christoph Koutschan
Journal / Anthology

ACM Communications in Computer Algebra
Year: 2016
Volume: 50
Issue: 3

We present the Mathematica package PlanarLinkages, which provides commands for constructing and visualizing planar linkages that draw a prescribed algebraic curve of genus 0, or more generally, that follow a prescribed rational motion. Since the implemented algorithms are heavily based on the concept of motion polynomials, the functionality of the package also includes basic arithmetic of motion polynomials and a factorization procedure.

*Mathematics > Algebra