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).
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Using the Wallpaper Applet
| Control Elements | Description | |
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First choice element | The fractal pattern (p.e. "Labyrinth") |
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Second choice element | The Wallpaper Group for the kind of filling the Euclidean plane (p.e. "P1") |
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Third choice element | Density of the image, number of dots (p.e. "Medium") |
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The edit field | A higher factor lets more room for a basic pattern (p.e. "1.5") |
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Moving the small circles | Form the basic pattern |
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Pressing CTRL while moving | Move the whole basic pattern |
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