Aperiodic tilings - PowerPoint PPT Presentation

Aperiodic Tilings

Aperiodic Tilings. Alexandre Karassev. Tilings. A tiling (or tessellation) is a cover of the plane (or space) by nonoverlaping regions. Tilings in nature. Escher’s tilings. http ://www.mcescher.com/. 3D T ilings and Crystals. 3D T ilings and Crystals. Cu. B N. Na Cl.

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Algorithms

Solution. exact. approximate. fast. Speed. slow. Algorithms. Tradeoff : Execution speed vs. solution quality. “Short &amp; sweet”. “Quick &amp; dirty”. “Slowly but surely”. “Too little, too late”. Computational Complexity. Problem : Avoid getting trapped in local minima. Global optimum.

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