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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 simplest wallpaper group, Group p 1 ...
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.
William Morris wallpaper designs. The British literary figure and designer William Morris (1834-1896), a founder of the British Arts and Crafts Movement, was especially known for his wallpaper designs. These were created for the firm he founded with his partners in 1861, Morris, Marshall, Faulkner and Company, and later for Morris and Company.
Frieze group. 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.
The symmetry groups are named here by three naming schemes: International notation, orbifold notation, and Coxeter notation. There are three kinds of symmetry groups of the plane: 2 families of rosette groups – 2D point groups. 7 frieze groups – 2D line groups. 17 wallpaper groups – 2D space groups.
Later wallpaper with chinoiserie motifs became accessible to the middle class when it could be printed and thus produced in a range of grades and prices. [25] The patterns on chinoiserie wallpaper are similar to the pagodas, floral designs, and exotic imaginary scenes found on chinoiserie furniture and porcelain.
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