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A wallpaper group (or plane symmetry group or plane crystallographic group) is a mathematical classification of a two-dimensional repetitive pattern, based on the symmetries in the pattern. Such patterns occur frequently in architecture and decorative art , especially in textiles , tiles , and wallpaper .
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The symmetry groups are named here by three naming schemes: International notation, orbifold notation, and Coxeter notation. There are three kinds of symmetry groups of the plane: 2 families of rosette groups – 2D point groups; 7 frieze groups – 2D line groups; 17 wallpaper groups – 2D space groups.
Description: Cell structure diagram of the wallpaper group p4g aka. p4gg: Date: 28 February 2006: Source: generated by self written XSLT available from the category overview: Author
The fact that A and B have the same wallpaper group means that they have the same symmetries, regardless of details of the designs, whereas C has a different set of symmetries despite any superficial similarities. A complete list of all seventeen possible wallpaper groups can be found below. Symmetries of patterns
Description: Cell structure diagram of the wallpaper group p1: Date: created 22. Jul. 2005, uploaded 26. Feb. 2006: Source: generated by self written XSLT available from the category overview
Cell structure diagram of the wallpaper group p4g aka. p4gm: Date: 22 July 2005: Source: generated by self written XSLT available from the category overview: Author: Martin von Gagern: Permission (Reusing this file) Released into the public domain by Martin von Gagern: Other versions: square SVG rectangualar PNG square PNG
Description: Cell structure diagram of the wallpaper group p2: Date: 22 July 2005: Source: generated by self written XSLT available from the category overview: Author: Martin von Gagern