Local rules and global order, or aperiodic tilings |
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Authors: | Bruno Durand Leonid Levin Alexander Shen |
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Institution: | (1) Laboratoire ďlnformatique Fondamentale de Marseille CMI, 39 rue Joliot-Curie, 13453 Marseille Cedex 13, France;(2) Department of Computer Science, Boston University, 02215-2411 Boston, MA, USA;(3) ul. Begovaya, 17-14 Moscow, 125284, Russia |
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Abstract: | Can local rules impose a global order? If yes, when and how? This is a philosophical question that could be asked in many cases. How does local interaction of atoms create crystals (or quasicrystals)? How does one living cell manage to develop into a pine cone whose seeds form spirals (and the number of spirals |
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