swMATH ID: 17974
Software Authors: Christoph Koutschan
Description: Mathematica package PlanarLinkages.m. Designing mechanical devices, called linkages, that draw a given plane curve has been a topic that interested engineers and mathematicians for hundreds of years, and recently also computer scientists. Already in 1876, Kempe proposed a procedure for solving the problem in full generality, but his constructions tend to be extremely complicated. We provide a novel algorithm that produces much simpler linkages, but works only for parametric curves. Our approach is to transform the problem into a factorization task over some noncommutative algebra. We show how to compute such a factorization, and how to use it to construct a linkage tracing a given curve.
Homepage: http://www.koutschan.de/data/link/
Dependencies: Mathematica
Related Software: Mathematica
Cited in: 2 Publications

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
Motion polynomials and planar linkages. Zbl 1365.68496
Koutschan, Christoph

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