A Trajectory from a Vertex to Itself on the Dodecahedron
Abstract
We prove that there exists a geodesic trajectory on the dodecahedron from a vertex to itself that does not pass through any other vertex.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2018
- DOI:
- 10.48550/arXiv.1802.00811
- arXiv:
- arXiv:1802.00811
- Bibcode:
- 2018arXiv180200811A
- Keywords:
-
- Mathematics - History and Overview;
- Mathematics - Geometric Topology;
- 51M20
- E-Print:
- to appear, American Mathematical Monthly