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Abstract: This contribution shows how to successfully display the 17 two-dimensional space groups (wallpaper groups) in the interactive crystal symmetry software Space Group Visualizer (SGV) (Perwass & Hitzer, 2005). We show examples of four wallpaper groups that contain (as sub patterns, i.e as subgroups) all other 13 wallpaper groups. The SGV is described in (Hitzer & Perwass, 2010). It is based on a new type of powerful geometric algebra visualization platform (Perwass, 2000). The principle is to select in the SGV a three-dimensional (3D) super space group and by orthogonal projection produce a view of the desired plane two-dimensional (2D) space group. The choice of associated 3D super space group is summarized in the looku

Year: 2013
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