English

Geodesic complexity of a tetrahedron

Metric Geometry 2023-06-21 v1 Algebraic Topology

Abstract

We prove that the geodesic complexity of a regular tetrahedron exceeds its topological complexity by 1 or 2. The proof involves a careful analysis of minimal geodesics on the tetrahedron.

Keywords

Cite

@article{arxiv.2306.11059,
  title  = {Geodesic complexity of a tetrahedron},
  author = {Donald M. Davis},
  journal= {arXiv preprint arXiv:2306.11059},
  year   = {2023}
}