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Tilings, Diffraction, and Quasicrystals

Volume 4, Issue 2
Spring 1994
Marjorie Senechal

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 crystallograpy.

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