most citedThe rel leaf and real-rel ray of the Arnoux-Yoccoz surface in genus 3

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math.GT2018

Platonic solids and high genus covers of lattice surfaces

Jayadev S. Athreya, David Aulicino, W. Patrick Hooper

We study the translation surfaces obtained by considering the unfoldings of the surfaces of Platonic solids. We show that they are all lattice surfaces and we compute the topology…