Discrete & Computational Geometry

, Volume 22, Issue 2, pp 297–315

Configuration Spaces of Mechanical Linkages

  • D. Jordan
  • M. Steiner

DOI: 10.1007/PL00009462

Cite this article as:
Jordan, D. & Steiner, M. Discrete Comput Geom (1999) 22: 297. doi:10.1007/PL00009462

Abstract.

We present an easy to survey constructive method using only basic mathematics which allows us to define a homeomorphism between any compact real algebraic variety and some components of the configuration space of a mechanical linkage. The aim is to imitate addition and multiplication in the framework of weighted graphs in the euclidean plane that permit a ``mechanical description'' of polynomial functions, and thus of varieties.

Copyright information

© 1998 Springer-Verlag New York Inc.

Authors and Affiliations

  • D. Jordan
    • 1
  • M. Steiner
    • 2
  1. 1.Mathematisches Institut, Universität Bern, CH-3012 Bern, Switzerland jordan@math-stat.unibe.ch CH
  2. 2.Département de Mathématiques, EPF Lausanne, CH-1015 Lausanne, Switzerland marcel.steiner@epfl.chCH