Wallpaper Groups

Last update 06. September 2010

  Software
  Publications

Wallpaper groups are the symmetry space groups of 2D-Euclidean space. There exist 17 wallpaper groups.

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Software

  Download the visualisation scripts (v2.0)
In order to use the point group visualisation scripts, you first need to download and install CLUViz version 6.1.13 or higher. If you installed the SpaceGroupVisualizer after the 1. February 2010 you do not need to install CLUViz again. Installing a new CLUViz version does not break your SpaceGroupVisualizer installation.

This script was developed by C. Perwass and E. Hitzer. The idea behind this script is to allow you to explore wallpaper groups. That’s why it’s called the Wallpaper Group Explorer. Wallpaper groups are 2D-symmetry space groups. With the WGE you can try out which symmetry operations generate a space group for which 2D-lattices. The WGE also includes the definitions of all possible 17 wallpaper groups.

The file you can download is a ZIP file that contains the script together with the wallpaper group definitions. You need to run the script WallpaperGroupExplorer.cbn with a double click on the file to start the wallpaper group explorer. If you liked the script, had problems with it, or suggestions for improvement, please contact us via help_at_spacegroup_dot_info.

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Publications

The following is a list of publications that describe the theoretical background of point groups.

  None so far.