Affiliation:
1. Materials Science Division, Argonne National Laboratory, Argonne II 60439, USA
Abstract
Spiral lattices, beautifully illustrated in composite flowers such as daisies and discussed in a recent letter by Bursill, Peng and Fan, have concentric crystalline grains separated by quasicrystalline grain boundaries. They are generated by a simple algorithm parametrized by one golden (or noble) angle. The topology of the patterns and their crystallographic properties (floret shape, lattice planes) are set by Voronoi construction. Golden or noble angle, and thus Fibonacci or Lucas numbers of visible spirals in each grain, correspond to maximal uniformity of the pattern so that their ubiquity in nature is the consequence of a variational principle. Existing results are reviewed here, which answer some questions raised by Bursill et al.
Publisher
World Scientific Pub Co Pte Lt
Subject
Condensed Matter Physics,Statistical and Nonlinear Physics
Cited by
14 articles.
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