Like the Frieze Groups in Symmetry I the Wallpaper Groups are used with fractal patterns in my Wallpaper Applet. With the Frieze Groups there were seven different possibilities to form an endless ornament along one axis, but there are 17 different Wallpaper Groups to fill the Euclidean plane with a basic pattern. In difference to the Frieze Applet the patterns are not imported as an image but constructed as an IFS (watch IFS I  IFS IV).
Get the source code
Using the Wallpaper Applet
Control Elements  Description  

First choice element  The fractal pattern (p.e. "Labyrinth") 

Second choice element  The Wallpaper Group for the kind of filling the Euclidean plane (p.e. "P1") 

Third choice element  Density of the image, number of dots (p.e. "Medium") 

The edit field  A higher factor lets more room for a basic pattern (p.e. "1.5") 

Moving the small circles  Form the basic pattern 

Pressing CTRL while moving  Move the whole basic pattern 