English

Point-ellipse and some other exotic configurations

Combinatorics 2019-03-15 v1

Abstract

In this paper we introduce point-ellipse configurations and point-conic configurations. We study some of their basic properties and describe two interesting families of balanced point-ellipse, respectively point-conic 66-configurations. The construction of the first family is based on Carnot's theorem, whilst the construction of the second family is based on the Cartesian product of two regular polygons. Finally, we investigate a point-ellipse configuration based on the regular 2424-cell.

Keywords

Cite

@article{arxiv.1903.06012,
  title  = {Point-ellipse and some other exotic configurations},
  author = {Gábor Gévay and Nino Bašić and Jurij Kovič and Tomaž Pisanski},
  journal= {arXiv preprint arXiv:1903.06012},
  year   = {2019}
}

Comments

14 pages, 11 figures

R2 v1 2026-06-23T08:08:08.321Z