Symmetry-Adapted Fourier Series for the Wallpaper Groups

Two-dimensional (2D) functions with wallpaper group symmetry can be written as Fourier series displaying both translational and point-group symmetry. We elaborate the symmetry-adapted Fourier series for each of the 17 wallpaper groups. The symmetry manifests itself through constraints on and relatio...

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Bibliographic Details
Main Author: Bart Verberck
Format: Article
Language:English
Published: MDPI AG 2012-07-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/4/3/379