%0 Journal Article
%T Dessins d'enfants for analysts
%A Vincent Beffara
%J Mathematics
%D 2015
%I arXiv
%X We present an algorithmic way of exactly computing Belyi functions for hypermaps and triangulations in genus 0 or 1, and the associated dessins, based on a numerical iterative approach initialized from a circle packing combined with subsequent lattice reduction. The main advantage compared to previous methods is that it is applicable to much larger graphs; we use very little algebraic geometry, and aim for this paper to be as self-contained as possible.
%U http://arxiv.org/abs/1504.00244v1