%0 Conference Paper %F Oral %T The Ammann–Beenker Tilings Revisited %+ Institut de Mathématiques de Marseille (I2M) %+ Laboratoire d'Informatique de Paris-Nord (LIPN) %A Bedaride, Nicolas %A Fernique, Thomas %< avec comité de lecture %3 Aperiodic 12 %B Aperiodic %C Cairn, Australia %8 2012-09-02 %D 2012 %R 10.1007/978-94-007-6431-6_8 %Z Mathematics [math] %Z Mathematics [math]/Dynamical Systems [math.DS] %Z Mathematics [math]/Combinatorics [math.CO] %Z Computer Science [cs]/Discrete Mathematics [cs.DM]Conference papers %X This paper introduces two tiles whose tilings form a one-parameter family of tilings which can all be seen as digitization of two-dimensional planes in the four-dimensional Euclidean space. This family contains the Ammann-Beenker tilings as the solution of a simple optimization problem. %G English %2 https://hal.science/hal-01219105/document %2 https://hal.science/hal-01219105/file/Bedaride-Fernique-Ammann-Beenker.pdf %L hal-01219105 %U https://hal.science/hal-01219105 %~ UNIV-PARIS13 %~ CNRS %~ UNIV-AMU %~ EC-MARSEILLE %~ INSMI %~ LIPN %~ I2M %~ I2M-2014- %~ TDS-MACS %~ GALILE %~ SORBONNE-PARIS-NORD %~ CONFRENCE-NATIONALE-SUR-LES-APPLICATIONS-PRATIQUES-DE-LINTELLIGENCE-ARTIFICIELLE %~ ACT-R