Ammann Tilings in Symplectic Geometry

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2013
• Main Authors: Battaglia, F., Prato, E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149220
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Ammann Tilings in Symplectic Geometry / F. Battaglia, E. Prato // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 12 назв. — англ.

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 th...