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Mathematical Digest


Short Summaries of Articles about Mathematics
in the Popular Press

"From tilings to coverings," by Knut W. Urban. Nature, 5 November 1998, pages 14-15.

"New Data Help Explain Crystals That Defy Nature," by Malcolm W. Browne. New York Times, 24 November 1998.

In recent years, physicists have discovered and developed the theory of quasicrystals, a type of matter in which substances are not as disordered as glass or as periodic as a crystal. Although more than 100 quasicrystals have been made and identified in laboratories, they have not proved to be especially useful. Nevertheless, they continue to inspire research about how and why they form. Starting with tilings devised by the physicist Roger Penrose in 1974, mathematician Paul Steinhardt and a team of collaborators have developed new ways to explain the structure of quasicrystals.

--- Benjamin Stein

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