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symmetry of surfaces

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  • symmetry — symmetry, proportion, balance, harmony are comparable chiefly as used in the arts of design and decoration to mean a quality which gives aesthetic pleasure and which depends upon the proper relating of details and parts to each other (as in… …   New Dictionary of Synonyms

  • Symmetry — For other uses, see Symmetry (disambiguation) …   Wikipedia

  • symmetry — /sim i tree/, n., pl. symmetries. 1. the correspondence in size, form, and arrangement of parts on opposite sides of a plane, line, or point; regularity of form or arrangement in terms of like, reciprocal, or corresponding parts. 2. the proper or …   Universalium

  • Icosahedral symmetry — A Soccer ball, a common example of a spherical truncated icosahedron, has full icosahedral symmetry. A regular icosahedron has 60 rotational (or orientation preserving) symmetries, and a symmetry order of 120 including transformations that… …   Wikipedia

  • Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

  • Homological mirror symmetry — is a mathematical conjecture made by Maxim Kontsevich. It seeks a systematic mathematical explanation for a phenomenon called mirror symmetry first observed by physicists studying string theory.In an address to the 1994 International Congress of… …   Wikipedia

  • Octahedral symmetry — The cube is the most common shape with octahedral symmetry A regular octahedron has 24 rotational (or orientation preserving) symmetries, and a symmetry order of 48 including transformations that combine a reflection and a rotation. A cube has… …   Wikipedia

  • icosahedral symmetry — an arrangement of viral subunits in which the structure of the viral capsid is characterized by symmetry having the rotation axes of a regular polygon with 20 triangular surfaces (icosahedron); each face contains several subunits, the total… …   Medical dictionary

  • Axis of symmetry — Axis Ax is, n.; pl. {Axes}. [L. axis axis, axle. See {Axle}.] A straight line, real or imaginary, passing through a body, on which it revolves, or may be supposed to revolve; a line passing through a body or system around which the parts are… …   The Collaborative International Dictionary of English

  • center of symmetry — Crystall. a point within a crystal through which any straight line extends to points on opposite surfaces of the crystal at equal distances. Also called inversion center. Cf. symmetry element. * * * …   Universalium

  • center of symmetry — 1. : a point within a crystal with respect to which similar planes and edges are symmetrical in opposite pairs 2. : the property exhibited by some crystals whereby every direction (as AB) through the crystal is alike in both senses (AB and BA)… …   Useful english dictionary

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