Geodesic complexity of a tetrahedron
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2023
- DOI:
- 10.48550/arXiv.2306.11059
- arXiv:
- arXiv:2306.11059
- Bibcode:
- 2023arXiv230611059D
- Keywords:
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- Mathematics - Metric Geometry;
- Mathematics - Algebraic Topology;
- 53C22;
- 52B10;
- 55M30