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Euclidean group
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 ...
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Talk:Euclidean group
Talk:Euclidean group In a math class a question arose ...
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Symmetry group
Symmetry group This article is about symmetry groups, abstract algebraic structures. See Symmetry group (disambiguation) for other meanings. A tetrahedron can ... The 12 rotations form the rotation (symmetry) group of the figure. The symmetry group of an object (image, signal, etc., e ... in 1D, 2D or 3D) is the group of all isometries under which it ...
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Lorentz group
Lorentz group In physics, the Lorentz group is the group of all Lorentz transformations of Minkowski spacetime ... invariant under Lorentz transformations. Therefore the Lorentz group can be said to express a fundamental ... laws of nature. Basic properties The Lorentz group is a subgroup of the Poincaré ...
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Triangle group
Triangle group In mathematics, the triangle groups are groups ... the sides of certain triangles. Each triangle group represents symmetries of a tiling by congruent ... triangles. The triangle can be an ordinary Euclidean triangle, or a triangle in the sphere ... in the hyperbolic plane. Definition A triangle group is defined by the group presentation |
Wallpaper group
Wallpaper group Example of a Persian design with wallpaper group p6m A wallpaper group (or plane crystallographic group) is a mathematical concept to classify repetitive ... A and B have the same wallpaper group; it is called p4m. Example C ...
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Rotation group
Rotation group In mechanics and geometry, the rotation group is the set of all rotations about the origin of 3-dimensional Euclidean space, R 3 . By definition, a rotation ... all rotations the mathematical structure of a group. Moreover, the rotation group has a natural manifold structure for ...
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Euclidean space (translated from Japanese)
Euclidean space Euclidean space（Euclidean space) エウクレイデス (Euclid), it is plane ... respectively, 2 dimensions, hit to 3 dimensional Euclidean space. In addition, stating clearly the fact ... number N Concerning,N Gathering of whole group of real number R N Two points ... When thinking,R N Thing,N Dimensional Euclidean spaceWith you call,E N Or ...
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Euclidean plane isometry
Euclidean plane isometry In geometry, a Euclidean plane isometry is an isometry of the Euclidean plane, or more informally, a way of ... glide reflections (see below under classification of Euclidean plane isometries). The set of Euclidean plane isometries forms a group under ...
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Discrete group
Discrete group In mathematics, a discrete group is a group G equipped with the discrete topology. With this topology G becomes a topological group. A discrete subgroup of a topological group G is a subgroup H whose ...
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