English

Vertex to vertex geodesics on platonic solids

Dynamical Systems 2022-08-31 v3

Abstract

We give a simple proof based on symmetries that there are no geodesics from a vertex to itself in the cube, tetrahedron, octahedron, and icosahedron.

Cite

@article{arxiv.2202.04892,
  title  = {Vertex to vertex geodesics on platonic solids},
  author = {Serge Troubetzkoy},
  journal= {arXiv preprint arXiv:2202.04892},
  year   = {2022}
}
R2 v1 2026-06-24T09:29:39.281Z