[PDF.01dq] The Mathematics of Long-Range Aperiodic Order (Nato Science Series C:)

The Mathematics of Long-Range Aperiodic Order (Nato Science Series C:)

[PDF.zl97] The Mathematics of Long-Range Aperiodic Order (Nato Science Series C:)

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 | #14102534 in Books |  2010-12-09 | Original language:English | PDF # 1 |  9.25 x1.29 x6.10l,1.74 | File type: PDF | 556 pages

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THEOREM: Rotational symmetries of order greater than six, and also five-fold rotational symmetry, are impossible for a periodic pattern in the plane or in three-dimensional space. The discovery of quasicrystals shattered this fundamental 'law', not by showing it to be logically false but by showing that periodicity was not synonymous with long-range order, if by 'long-range order' we mean whatever order is necessary for a crystal to produce a diffraction pat­ tern wi...

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