Geometry

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By Marjorie Senechal

Quasicrystals and Geometry brings jointly for the 1st time the various strands of latest examine in quasicrystal geometry and weaves them right into a coherent entire. the writer describes the ancient and clinical context of this paintings, and punctiliously explains what has been proved and what's conjectured. This, including a bibliography of over 250 references, offers an effective heritage for extra examine. the invention in 1984 of crystals with 'forbidden' symmetry posed interesting and not easy difficulties in lots of fields of arithmetic, in addition to within the good country sciences. more and more, mathematicians and physicists have gotten intrigued by way of the quasicrystal phenomenon, and the end result has been an exponential progress within the literature at the geometry of diffraction styles, the behaviour of the Fibonacci and different nonperiodic sequences, and the attention-grabbing homes of the Penrose tilings and their many family.

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