Friezes and continued fractions
Number Theory
2025-08-26 v1 Combinatorics
Abstract
We explore basic properties of number friezes, due to Conway and Coxeter, and their relations to decompositions of rational numbers into continued fractions, Farey sequences, and the modular group acting on the hyperbolic plane. These are notes from a mini-course for undergraduate students given at the 19th Summer School ``Modern Mathematics'', Dubna, Russia, July 18-29, 2019.
Cite
@article{arxiv.2508.17074,
title = {Friezes and continued fractions},
author = {Evgeny Smirnov},
journal= {arXiv preprint arXiv:2508.17074},
year = {2025}
}
Comments
37 pages, with figures. First published in Russian, MCCME Publishing house, 2022