Henneberg moves on mechanisms

Bill Jackson, T. Jordán, Brigitte Servatius, Herman Servatius

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A bar-and-joint framework in the plane with degree of freedom 1 is called a mechanism. It is well-known that the operations of 0-extension and 1-extension, the so called Henneberg moves, can always be performed on a framework so that its degree of freedom is preserved. It was conjectured by the first and second author in 2012 that for a mechanism in generic position these operations can be performed without restricting its motion. In this note we provide a counterexample.

Original languageEnglish
Pages (from-to)587-591
Number of pages5
JournalBeitrage zur Algebra und Geometrie
Volume56
Issue number2
DOIs
Publication statusPublished - Oct 28 2015

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Degree of freedom
Counterexample
Motion
Framework

Keywords

  • Bar-and-joint framework
  • Henneberg move
  • Mechanism
  • Rigidity

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

Cite this

Henneberg moves on mechanisms. / Jackson, Bill; Jordán, T.; Servatius, Brigitte; Servatius, Herman.

In: Beitrage zur Algebra und Geometrie, Vol. 56, No. 2, 28.10.2015, p. 587-591.

Research output: Contribution to journalArticle

Jackson, B, Jordán, T, Servatius, B & Servatius, H 2015, 'Henneberg moves on mechanisms', Beitrage zur Algebra und Geometrie, vol. 56, no. 2, pp. 587-591. https://doi.org/10.1007/s13366-014-0217-3
Jackson, Bill ; Jordán, T. ; Servatius, Brigitte ; Servatius, Herman. / Henneberg moves on mechanisms. In: Beitrage zur Algebra und Geometrie. 2015 ; Vol. 56, No. 2. pp. 587-591.
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