Wallpaper group diagrams
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. There are 17 possible distinct groups.
Overview of wallpaper groups
editThe region shown is a choice of the possible translation cells with minimum area, except for cm and cmm, where a region of twice that area is shown. The yellow region is a fundamental domain.
Files used to generate wallpaper group images
editTo avoid confusing any parts of MediaWiki or your browser, I encoded the files in gziped base64.
XML description of all wallpaper groups
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XSLT to build SVG images from above XML file
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See also
edit The article Wallpaper group diagrams on Wikipedia projects:
- (en) Wallpaper group
- (de) Ebene kristallographische Gruppe
- (nl) Behangpatroongroep