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Article
Symmetric yet organic, Fourier series as an artist’s tool
Mathematics and Computer Science
  • Frank A. Farris
Document Type
Article
Publication Date
7-22-2013
Publisher
Taylor & Francis
Disciplines
Abstract
The domain-colouring algorithm for visualizing complex-valued functions, when used with complex Fourier series, offers novel techniques to produce mathematical art. Using a photograph instead of the usual colour wheel of the algorithm, the artist can incorporate colours and textures in designs that are symmetric, yet organic. Techniques are described in detail, including methods to create rosettes, friezes and wallpaper patterns, with various types of colour symmetry. The techniques permit new approaches to pattern metamorphosis, as seen in the work of M.C. Escher.
Citation Information
Farris, Frank A. “Symmetric yet organic, Fourier series as an artist’s tool,” Journal of Mathematics and the Arts, 2013. DOI: 10.1080/17513472.2013.819314