English

Cross Ratios of Quadrilateral Linkages

Metric Geometry 2015-08-12 v3

Abstract

We discuss the cross-ratio map of planar quadrilateral linkages, also in the case when one of the links is telescopic. Most of our results are valid for a planar quadrilateral linkage with generic lengths of the sides. In particular, we describe the image of cross-ratio map for quadrilateral linkage and planar robot 3-arm.

Keywords

Cite

@article{arxiv.1308.4007,
  title  = {Cross Ratios of Quadrilateral Linkages},
  author = {Giorgi Khimshiashvili and Dirk Siersma},
  journal= {arXiv preprint arXiv:1308.4007},
  year   = {2015}
}

Comments

12 pages,9 figures. March 2014: Proofs are added, typo's corrected; March 2015: Typo's corrected