Wallpaper Patterns

Wallpaper Patterns

A symmetry of a pattern is, loosely speaking, a way of transforming the pattern so that the pattern looks exactly the same after the transformation. For example, translational symmetry is present when the pattern can be translated (shifted) some finite distance and appear unchanged. Think of shifting a set of vertical stripes horizontally by one stripe. The pattern is unchanged. Strictly speaking, a true symmetry only exists in patterns that repeat exactly and continue indefinitely. A set of only, say, five stripes does not have translational symmetry — when shifted, the stripe on one end "disappears" and a new stripe is "added" at the other end. In practice, however, classification is applied to finite patterns, and small imperfections may be ignored.

Wallpaper Patterns

Wallpaper Patterns

Wallpaper Patterns

Wallpaper Patterns

Wallpaper Patterns

Wallpaper Patterns

Wallpaper Patterns

Wallpaper Patterns

Wallpaper Patterns

Wallpaper Patterns

Wallpaper Patterns

Wallpaper Patterns

Wallpaper Patterns

Wallpaper Patterns

Wallpaper Patterns

Wallpaper Patterns

Wallpaper Patterns