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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 .
The smallest wallpaper rectangle that can be tiled to form the whole pattern is known as the pattern repeat. Wallpaper printing techniques include surface printing , rotogravure , screen-printing , rotary printing press , and digital printing .
Examples of frieze patterns. In mathematics, a frieze or frieze pattern is a two-dimensional design that repeats in one direction. The term is derived from architecture and decorative arts, where such repeating patterns are often used. (See frieze.) Frieze patterns can be classified into seven types according to their symmetries.
Transform any wall in your home with these trendy wallpaper designs. Choose between an abstract look with a pop of color or a classic and traditional design.
English: Several analogous patterns are overlaid in this "wallpaper", four tiling patterns. An article calls "Pythagorean tiling" such a tiling covering entirely the Euclidean plane by squares of two different sizes, where any tile, by any edge, abuts against exactly one tile of another size.
Wallpaper group: A wallpaper group is a mathematical concept used to classify repetitive designs on two-dimensional surfaces, such as floors and walls, based on the symmetries in the pattern. Such patterns occur frequently in architecture and decorative art. The mathematical study of such patterns reveals that exactly 17 different types of ...
The period between 1876 and 1882 was the most productive for Morris; he created sixteen different wallpaper designs. In his wallpapers of this period, he reverted to more naturalistic themes, somewhat less three-dimensional than his earlier work, but with an exceptional harmony and rhythm, as in his designs Poppy (1885) and Acorn.
A pattern is a regularity in the world, in human-made design, [1] or in abstract ideas. As such, the elements of a pattern repeat in a predictable manner. A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design. Any of the senses may directly observe patterns.