Hecke Groups, Dessins d'Enfants, and the Archimedean Solids

Abstract

Grothendieck’s dessins d’enfants arise with ever-increasing frequency in many areas of twenty-first century mathematical physics. In this paper, we review the connections between dessins and the theory of Hecke groups. Focussing on the restricted class of highly symmetric dessins corresponding to the so-called Archimedean solids, we apply this theory in… (More)
DOI: 10.3389/fphy.2015.00091

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