Coincidences in numbers of graph vertices corresponding to regular planar hyperbolic mosaics
Abstract
The aim of this paper is to determine the elements which are in two pairs of sequences linked to the regular mosaics $\{4,5\}$ and $\{p,q\}$ on the hyperbolic plane. The problem leads to the solution of diophantine equations of certain types.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2015
- DOI:
- 10.48550/arXiv.1503.07432
- arXiv:
- arXiv:1503.07432
- Bibcode:
- 2015arXiv150307432N
- Keywords:
-
- Mathematics - Metric Geometry;
- Mathematics - Number Theory;
- 11B37;
- 51M10
- E-Print:
- 10 pages, 2 figures, Annales Mathematicae et Informaticae 43 (2014)