Simple closed geodesics on regular spherical polyhedra

Darya Sukhorebska

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arXiv · 2408.10782

Simple closed geodesics on regular spherical polyhedra

Darya Sukhorebska

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Abstract

In this article, we found all simple closed geodesics on regular spherical octahedra and spherical cubes. In addition, we estimate the number of simple closed geodesics on regular spherical tetrahedra.

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Darya Sukhorebska. 2024-08-20. Simple closed geodesics on regular spherical polyhedra. https://arxiv.org/abs/2408.10782

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