English

Self-similar shapes under Errera division rule on the cone

Tissues and Organs 2019-01-11 v1

Abstract

This study provides a general construction method of cell shape invariant by the Errera rule of division on a cone and provides analytical bounds for the apical angle of the cone on which these cells are connected and thus biologically meaningful. This idealized model highlights how the curvature of the tissue can influence Errera rule.

Keywords

Cite

@article{arxiv.1901.03135,
  title  = {Self-similar shapes under Errera division rule on the cone},
  author = {Etienne Couturier},
  journal= {arXiv preprint arXiv:1901.03135},
  year   = {2019}
}