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Graphics Gallery: Tilings, Diffraction, and Quasicrystals
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Nonperiodic tilings exhibit a remarkable range of "order types" between periodic and amorphous. The six tilings shown on these pages are a representative sample. How can we characterize these states, and how are they reflected in various measures of order, such as diffraction images? The answers to these questions--which are still wide open--may have applications to contemporary crystallography.
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http://www.mathematica-journal.com/issue/v4i2/graphics/10-15_senechal42.mj.pdf
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