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A wallpaper group (or plane symmetry group or plane crystallographic group) is a mathematical classification of a two-dimensional repetitive pattern, based on the symmetries in the pattern. Such patterns occur frequently in architecture and decorative art , especially in textiles , tiles , and wallpaper .
Wallpapers can come plain as "lining paper" to help cover uneven surfaces and minor wall defects, "textured", plain with a regular repeating pattern design, or with a single non-repeating large design carried over a set of sheets. The smallest wallpaper rectangle that can be tiled to form the whole pattern is known as the pattern repeat.
A computer screen showing a background wallpaper photo of the Palace of Versailles. A wallpaper or background (also known as a desktop background, desktop picture or desktop image on computers) is a digital image (photo, drawing etc.) used as a decorative background of a graphical user interface on the screen of a computer, smartphone or other electronic device.
5. Choose a Lighter Paint Hue to Turn a Wallpapered Wall Into an Accent. Wallpaper is one of the best ways to create an accent wall that serves as a stunning focal point in a room. Highlight the ...
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A typical Morris wallpaper in the 1870s required as much as four weeks to manufacture, using thirty different printing blocks and fifteen separate colours. [7] The wallpapers of Morris were regarded as strange and excessive for most wealthy Victorians, who preferred the more geometric and traditional French styles.
An edge is the intersection between two bordering tiles; it is often a straight line. A vertex is the point of intersection of three or more bordering tiles. Using these terms, an isogonal or vertex-transitive tiling is a tiling where every vertex point is identical; that is, the arrangement of polygons about each vertex is the same. [ 18 ]
If the sum of the feature values is 2, the order is infinite, i.e., the notation represents a wallpaper group or a frieze group. Indeed, Conway's "Magic Theorem" indicates that the 17 wallpaper groups are exactly those with the sum of the feature values equal to 2. Otherwise, the order is 2 divided by the Euler characteristic.