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Article
Wallpaper Functions
Mathematics and Computer Science
  • Frank A. Farris
  • Rima Lanning
Document Type
Article
Publication Date
1-1-2002
Publisher
Elsevier B.V.
Abstract
Instead of making wallpaper by repeating copies of a motif, we construct wallpaper functions. These are functions on ℝ2 that are invariant under the action of one of the 17 planar crystallographic groups. We also construct functions with antisymmetries, and offer a complete analysis of types. Techniques include exhibiting bases for various spaces of wallpaper functions, and an algebraic definition of equivalence of pattern type.
Citation Information
Farris, Frank A. with Rima Lanning. “Wallpaper Functions.” Expositiones Mathematicae, 20:3 (2002): 193–214.