English

On the Pappus arrangement of lines, forth and back and to the point

Algebraic Geometry 2020-03-31 v1

Abstract

The purpose of this paper is to study the famous Pappus configuration of 99 lines and its dual arrangement. We show among others that by applying the Pappus Theorem to the dual arrangement we obtain the configuration corresponding to the initial data of beginning configuration. We consider also the Pappus arrangements with some additional incidences and we establish algebraic conditions paralleling with these incidences.

Keywords

Cite

@article{arxiv.2003.13129,
  title  = {On the Pappus arrangement of lines, forth and back and to the point},
  author = {Magdalena Lampa-Baczyńska and Daniel Wójcik},
  journal= {arXiv preprint arXiv:2003.13129},
  year   = {2020}
}