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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 .
[22] [23] Moroccan geometric woodwork from the 14th to 19th centuries makes use of only 5 wallpaper groups, mainly p4mm and c2mm, with p6mm and p2mm occasionally and p4gm rarely; it is claimed that the "Hasba" (measure) method of construction, which starts with n-fold rosettes, can however generate all 17 groups. [24] Methods of construction
The formal elements, those aesthetic effects created by design, upon which figurative art is dependent, include line, shape, color, light and dark, mass, volume, texture, and perspective, [2] although these elements of design could also play a role in creating other types of imagery—for instance abstract, or non-representational or non-objective two-dimensional artwork.
Geometric problems originating in architecture can lead to interesting research and results in geometry processing, computer-aided geometric design, and discrete differential geometry. [ 2 ] In architecture, geometric design is associated with the pioneering explorations of Chuck Hoberman into transformational geometry as a design idiom, and ...
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry.As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises by either replacing the parallel postulate with an alternative, or relaxing the metric requirement.
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems.Classically, it studies zeros of multivariate polynomials; the modern approach generalizes this in a few different aspects.
The Petronas Towers (Malay: Menara Berkembar Petronas), also known as the Petronas Twin Towers and colloquially the KLCC Twin Towers, are an interlinked pair of 88-storey supertall skyscrapers in Kuala Lumpur, Malaysia, standing at 451.9 metres (1,483 feet).
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