English

Extremal Cylinder Configurations II: Configuration $O_6$

Metric Geometry 2019-02-26 v1

Abstract

We study the octahedral configurations O6O_6 of six equal cylinders touching the unit sphere. We show that the configuration O6O_6 is a local sharp maximum of the distance function. Thus it is not unlockable and, moreover, rigid.

Keywords

Cite

@article{arxiv.1902.08995,
  title  = {Extremal Cylinder Configurations II: Configuration $O_6$},
  author = {Oleg Ogievetsky and Senya Shlosman},
  journal= {arXiv preprint arXiv:1902.08995},
  year   = {2019}
}