In geometry, an object has symmetry if there is an operation or transformation (such as translation, scaling, rotation or reflection) that maps the figure/object...
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determines what geometry is. Symmetry in classical Euclidean geometry is represented by congruences and rigid motions, whereas in projective geometry an analogous...
100 KB (9,874 words) - 08:58, 6 May 2024
This article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many people; in science...
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of homological mirror symmetry. In 1990-1991, Candelas et al. 1991 had a major impact not only on enumerative algebraic geometry but on the whole mathematics...
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group of the ambient space. This article mainly considers symmetry groups in Euclidean geometry, but the concept may also be studied for more general types...
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molecular symmetry describes the symmetry present in molecules and the classification of these molecules according to their symmetry. Molecular symmetry is a...
50 KB (4,313 words) - 11:22, 10 May 2024
symmetry can also be discrete with a fixed angle of rotation, 360°/n for n-fold symmetry. Axiality (geometry) Circular symmetry Reflection symmetry Rotational...
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In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure...
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In algebraic geometry and theoretical physics, mirror symmetry is a relationship between geometric objects called Calabi–Yau manifolds. The term refers...
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Math movement. An exploration of transformation geometry often begins with a study of reflection symmetry as found in daily life. The first real transformation...
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Rotational symmetry, also known as radial symmetry in geometry, is the property a shape has when it looks the same after some rotation by a partial turn...
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Symmetry occurs not only in geometry, but also in other branches of mathematics. Symmetry is a type of invariance: the property that a mathematical object...
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In geometry, circular symmetry is a type of continuous symmetry for a planar object that can be rotated by any arbitrary angle and map onto itself. Rotational...
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further classified as spatial symmetries, involving only the spatial geometry associated with a physical system; temporal symmetries, involving only changes...
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Square (redirect from 4 symmetry)
half the symmetry order of the square. d2 is the symmetry of an isosceles trapezoid, and p2 is the symmetry of a kite. g2 defines the geometry of a parallelogram...
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Polytopes and Symmetry. Cambridge University Press. p. 75. ISBN 9780521277396. Dupuis, Nathan Fellowes (1893). Elements of Synthetic Solid Geometry. Macmillan...
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Absolute geometry Affine geometry Algebraic geometry Analytic geometry Birational geometry Complex geometry Combinatorial geometry Computational geometry Conformal...
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In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy (rigidly moved without rotation) of the...
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Dihedral group (redirect from Dihedral symmetry)
In mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes rotations and reflections. Dihedral groups are among the...
27 KB (3,380 words) - 04:52, 10 May 2024
In Euclidean geometry, a kite is a quadrilateral with reflection symmetry across a diagonal. Because of this symmetry, a kite has two equal angles and...
38 KB (3,724 words) - 19:10, 10 December 2023
In mathematics, and especially in geometry, an object has icosahedral symmetry if it has the same symmetries as a regular icosahedron. Examples of other...
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Oval (redirect from Egg (geometry))
(projective geometry, technical drawing, etc.) it is given a more precise definition, which may include either one or two axes of symmetry of an ellipse...
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23. Johnson, Norman W. (2018), Geometries and Transformations, ISBN 978-1-107-10340-5. See Chapter 11: Finite Symmetry Groups, 11.3 Pyramids, Prisms,...
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chief alternative to octahedral geometry is a trigonal prismatic geometry, which has symmetry D3h. In this geometry, the six ligands are also equivalent...
15 KB (1,554 words) - 05:25, 31 October 2023
Geometric transformation (redirect from Transformation (geometry))
these opposites are equal. Coordinate transformation Erlangen program Symmetry (geometry) Motion Reflection Rigid transformation Rotation Topology Transformation...
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In hyperbolic geometry, a hypercycle, hypercircle or equidistant curve is a curve whose points have the same orthogonal distance from a given straight...
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Cube (redirect from Cube (geometry))
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets, or sides, with three meeting at each vertex. Viewed from a...
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In mathematics and geometry, a discrete symmetry is a symmetry that describes non-continuous changes in a system. For example, a square possesses discrete...
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In mathematics, integral geometry is the theory of measures on a geometrical space invariant under the symmetry group of that space. In more recent times...
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mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate...
56 KB (6,945 words) - 19:31, 25 May 2024