Ammann Tilings in Symplectic Geometry

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2013
• Hauptverfasser: Battaglia, F., Prato, E.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2013
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/149220
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...