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arXiv · 1004.2471

Ammann Tilings in Symplectic Geometry

Fiammetta Battaglia·Elisa Prato
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Abstract

In this article we study Ammann tilings from the perspective of symplectic geometry. Ammann tilings are nonperiodic tilings that are related to quasicrystals with icosahedral symmetry. We associate to each Ammann tiling two explicitly constructed highly singular symplectic spaces and we show that they are diffeomorphic but not symplectomorphic. These spaces inherit from the tiling its very interesting symmetries.

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Fiammetta Battaglia, Elisa Prato. 2010-04-14. Ammann Tilings in Symplectic Geometry. https://doi.org/10.3842/sigma.2013.021

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