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frieze group

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  • Frieze group — A frieze group is a mathematical concept to classify designs on two dimensional surfaces which are repetitive in one direction, based on the symmetries in the pattern. Such patterns occur frequently in architecture and decorative art. The… …   Wikipedia

  • Frieze (disambiguation) — Frieze is an architectural term for the wide central section part of an entablature.Frieze may also refer to: *Frieze (textile), a napped woolen cloth made from Frisian wool *Frieze Art Fair, a London art fair *Frieze group, a mathematical… …   Wikipedia

  • Frieze of Parnassus — The Frieze of Parnassus is a large sculpted stone frieze circling the podium, or base, of the Albert Memorial in London, England. The Albert Memorial was constructed in the 1860s in memory of Prince Albert, the husband of Queen Victoria. The… …   Wikipedia

  • Wallpaper group — 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… …   Wikipedia

  • List of group theory topics — Contents 1 Structures and operations 2 Basic properties of groups 2.1 Group homomorphisms 3 Basic types of groups …   Wikipedia

  • One-dimensional symmetry group — A one dimensional symmetry group is a mathematical group that describes symmetries in one dimension (1D). A pattern in 1D can be represented as a function f(x) for, say, the color at position x. The 1D isometries map x to x + a and to a − x.… …   Wikipedia

  • List of Lie group topics — This is a list of Lie group topics, by Wikipedia page. Examples See Table of Lie groups for a list *General linear group, special linear group **SL2(R) **SL2(C) *Unitary group, special unitary group **SU(2) **SU(3) *Orthogonal group, special… …   Wikipedia

  • Euclidean group — In mathematics, the Euclidean group E ( n ), sometimes called ISO( n ) or similar, is the symmetry group of n dimensional Euclidean space. Its elements, the isometries associated with the Euclidean metric, are called Euclidean moves.These groups… …   Wikipedia

  • Reflection group — A reflection group is a group action, acting on a finite dimensional vector space, which is generated by reflections: elements that fix a hyperplane in space pointwise.For example, with regard to ordinary reflections in planes in 3D, a reflection …   Wikipedia

  • Parthenon Frieze — The Parthenon Frieze is the low relief, pentelic marble sculpture created to adorn the upper part of the Parthenon’s naos. It was sculpted between ca. 443 and 438 BC [438 was the year of the dedication of the Parthenon and usually taken as an… …   Wikipedia

  • Space group — In mathematics and geometry, a space group is a symmetry group, usually for three dimensions, that divides space into discrete repeatable domains. In three dimensions, there are 219 unique types, or counted as 230 if chiral copies are considered… …   Wikipedia

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