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Compact surfaces as configuration spaces of mechanical linkages

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Abstract

There exists a homeomorphism between any compact orientable closed surface and the configuration space of an appropriate mechanical linkage defined by a weighted graph embedded in the Euclidean plane.

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Authors and Affiliations

  1. Mathematisches Institut der Universität Bern, CH-3012, Bern, Switzerland

    Denis Jordan

  2. Départment de Mathématiques EPF Lausanne, CH-1015, Lausanne, Switzerland

    Marcel Steiner

Authors
  1. Denis Jordan
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  2. Marcel Steiner
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Correspondence to Denis Jordan.

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Jordan, D., Steiner, M. Compact surfaces as configuration spaces of mechanical linkages. Isr. J. Math. 122, 175–187 (2001). https://doi.org/10.1007/BF02809898

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  • DOI: https://doi.org/10.1007/BF02809898

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