Geodesic
Petrie polygons, Fibonacci sequences and Farey maps
Ars Mathematica Contemporanea, Tome 10 (2016) no. 2, pp. 349-357.

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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.
DOI : 10.26493/1855-3974.864.e9b
Keywords: Regular map, Petrie polygon, Fibonacci sequence 
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David Singerman; James Strudwick. Petrie polygons, Fibonacci sequences and Farey maps. Ars Mathematica Contemporanea, Tome 10 (2016) no. 2, pp. 349-357. doi : 10.26493/1855-3974.864.e9b. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.864.e9b/

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