The Farey framework for SL2-tilings

thumbnail: Two paths in the Farey graph, corresponding to a certain SL₂-tiling thumbnail: Farey graph, Ford circles, and the truncated Farey graph thumbnail: Farey surface of a certain wild SL₂-tiling thumbnail: Farey complexes over integers mod 5, 6, 7

This website is devoted to the project on using a combinatorial approach to explore the connections between number theory and geometry that arise around Conway–Coxeter friezes and SL2-tilings over integer numbers and other rings, carried out at the Open University, UK.

April 2025 highlights

Gallery

 

The project is funded by EPSRC grants EP/W002817/1, EP/W524098/1, and EP/T518165/1 (S.B.'s internship).

SL2-tilings