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Example of an Egyptian design with wallpaper group p4m. 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 ...
Modern wallpaper is made in long rolls which are hung vertically on a wall. Patterned wallpapers are designed so that the pattern "repeats", and thus pieces cut from the same roll can be hung next to each other so as to continue the pattern without it being easy to see where the join between two pieces occurs.
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.
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.
Morris wrote that his object was to find the balance between color and variety on the one hand and structure. He declared in an 1881 essay, Some Hints on Pattern Designing of the need to "mask the construction of our pattern enough to prevent people from counting the repeats of our pattern, while we manage to lull their curiosity to trace it ...
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.