PlaneTiling is a Mathematica package that draws any of the 17 wallpaper patterns. This page shows some of examples of what this package can do.

The function `WallpaperPlot`

allows plotting of any periodic wallpaper design. User specifies the symmetry type and motif. This means that it'll plot any periodic tilings, Islamic patterns, or Celtic knots designs

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`WallpaperPlot`

can also plot the symmetry diagram of wallpapers. Shown here are wallpaper groups with 3-fold symmetries. Any symmetry element graphics can be user specified. For example, the last image displays the rotation elements of group *632 (p6m), using numbers instead of traditional symbols.

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Assorted graphics manipulation functions lets you transform or cut graphics.

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Assorted functions generates lattices or networks colored regularly. Here are some examples of triangular network with regularly directed edges.

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- Geometric Tilings And Patterns (image gallery)
- Starry Wallpaper Gallery (image gallery)
- The 17 Wallpaper Groups (illustrated)
- Stereographic Projected Beauties (image gallery)
- Mathematica Packages by Xah Lee

1997