We consider the regular triangular maps corresponding to the principal congruence subgroups Γ (n) of the classical modular group. We relate the sizes of the Petrie polygons on these maps to the periods of reduced Fibonacci sequences.
@article{864, title = {Petrie polygons, Fibonacci sequences and Farey maps}, journal = {ARS MATHEMATICA CONTEMPORANEA}, volume = {12}, year = {2016}, doi = {10.26493/1855-3974.864.e9b}, language = {EN}, url = {http://dml.mathdoc.fr/item/864} }
Singerman, David; Strudwick, James. Petrie polygons, Fibonacci sequences and Farey maps. ARS MATHEMATICA CONTEMPORANEA, Tome 12 (2016) . doi : 10.26493/1855-3974.864.e9b. http://gdmltest.u-ga.fr/item/864/