Parking garages with optimal dynamics
classification
🧮 math.DS
keywords
garagesparkingsurfacealthoughassociatedbilliardconstructconstructing
read the original abstract
We construct generalized polygons (`parking garages') in which the billiard flow satisfies the Veech dichotomy, although the associated translation surface obtained from the Zemlyakov-Katok unfolding is not a lattice surface. We also explain the difficulties in constructing a genuine polygon with these properties.
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