Petrie polygons, Fibonacci sequences and Farey maps

Authors

  • David Singerman University of Southampton, United Kingdom
  • James Strudwick University of Southampton, United Kingdom

DOI:

https://doi.org/10.26493/1855-3974.864.e9b

Keywords:

Regular map, Petrie polygon, Fibonacci sequence

Abstract

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.

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Published

2016-02-05

Issue

Vol. 10 No. 2 (2016)

Section

Articles

License

Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/