Equiform kinematics and the geometry of line elements

Boris Odehnal*, Helmut Pottmann, Johannes Wallner

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


The present paper studies Plücker coordinates for line elements in Euclidean three-space. The well known relation between line geometry and kinematics is generalized to equiform motions and the geometry of line elements. We consider bundles and linear complexes of line elements and survey their properties.

Original languageEnglish (US)
Pages (from-to)567-582
Number of pages16
JournalBeitrage zur Algebra und Geometrie
Issue number2
StatePublished - 2006
Externally publishedYes


  • Equiform kinematics
  • Line element
  • Line geometry
  • Linear complex
  • Spiral motion

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


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