# Simple closed geodesics on regular tetrahedra in Lobachevsky space

## TL;DR

This paper classifies all simple closed geodesics on regular tetrahedra in Lobachevsky space, estimates their quantity for lengths up to L, and derives the asymptotic behavior as L increases.

## Contribution

It provides a complete classification of simple closed geodesics on regular tetrahedra in Lobachevsky space and analyzes their asymptotic count.

## Key findings

- Complete classification of simple closed geodesics
- Asymptotic estimate of geodesics count for large L
- Quantitative analysis of geodesic lengths

## Abstract

We obtained a complete classification of simple closed geodesics on regular tetrahedra in Lobachevsky space. Also, we evaluated the number of simple closed geodesics of length not greater than $L$ and found the asymptotic of this number as $L$ goes to infinity.