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  2. Symmetry (geometry) - Wikipedia

    en.wikipedia.org/wiki/Symmetry_(geometry)

    A drawing of a butterfly with bilateral symmetry, with left and right sides as mirror images of each other.. 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 onto itself (i.e., the object has an invariance under the transform). [1]

  3. National Geographic Video - Wikipedia

    en.wikipedia.org/wiki/National_Geographic_Video

    National Geographic Kids Video ... Lines of Symmetry Educational Video Presentations 51515 ... Chalk Drawings Educational Video Presentations 51517

  4. M. C. Escher: Visions of Symmetry - Wikipedia

    en.wikipedia.org/wiki/M._C._Escher:_Visions_of...

    M. C. Escher: Visions of Symmetry is a book by mathematician Doris Schattschneider published by W. H. Freeman in 1990. The book analyzes the symmetry of M. C. Escher's colored periodic drawings and explains the methods he used to construct his artworks. Escher made extensive use of two-color and multi-color symmetry in his periodic drawings ...

  5. Modern elementary mathematics - Wikipedia

    en.wikipedia.org/wiki/Modern_elementary_mathematics

    In the last several decades, many prominent mathematicians and mathematics enthusiasts embraced mathematical arts, from popular fractal art to origami. Likewise, elementary mathematics is becoming more artistic. Some popular topics for children include tessellation, computer art, symmetry, patterns, transformations and reflections. [15]

  6. Symmetry - Wikipedia

    en.wikipedia.org/wiki/Symmetry

    The type of symmetry is determined by the way the pieces are organized, or by the type of transformation: An object has reflectional symmetry (line or mirror symmetry) if there is a line (or in 3D a plane) going through it which divides it into two pieces that are mirror images of each other. [6]

  7. Tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Tetrahedron

    This gives two opposite edges (1,2) and (3,4) that are perpendicular but different lengths, and then the 4 isometries are 1, reflections (12) and (34) and the 180° rotation (12)(34). The symmetry group is C 2v, isomorphic to the Klein four-group V 4. A digonal disphenoid has Schläfli symbol { }∨{ }. C 2v C 2 [2] [2] + *22 22: 4 2 Phyllic ...

  8. Rotational symmetry - Wikipedia

    en.wikipedia.org/wiki/Rotational_symmetry

    A "1-fold" symmetry is no symmetry (all objects look alike after a rotation of 360°). The notation for n-fold symmetry is C n or simply n. The actual symmetry group is specified by the point or axis of symmetry, together with the n. For each point or axis of symmetry, the abstract group type is cyclic group of order n, Z n.

  9. Symmetry in mathematics - Wikipedia

    en.wikipedia.org/wiki/Symmetry_in_mathematics

    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 remains unchanged under a set of operations or transformations. [1] Given a structured object X of any sort, a symmetry is a mapping of the object

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