9 citations · 22 across the 8 of their papers we have counts for
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math.GT2018★ 1 cited
A New Approach to the Automorphism Group of a Platonic Surface
David Aulicino
We borrow a classical construction from the study of rational billiards in dynamical systems known as the "unfolding construction" and show that it can be used to study the automor…
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…
math.HO2018
A Trajectory from a Vertex to Itself on the Dodecahedron
Jayadev S. Athreya, David Aulicino
We prove that there exists a geodesic trajectory on the dodecahedron from a vertex to itself that does not pass through any other vertex.