PlanarLinkages
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 
2016

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top 5
Cited by 6 Authors
2  Koutschan, Christoph 
1  Gallet, Matteo 
1  Li, Zijia 
1  Regensburger, Georg 
1  Schicho, Josef 
1  Villamizar, Nelly 
Cited in 2 Serials
1  Mathematics of Computation 
1  ACM Communications in Computer Algebra 
Cited in 5 Fields
2  Algebraic geometry (14XX) 
2  Computer science (68XX) 
1  Field theory and polynomials (12XX) 
1  Associative rings and algebras (16XX) 
1  Mechanics of particles and systems (70XX) 