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  2. Similarity (geometry) - Wikipedia

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

    Similar figures. In Euclidean geometry, two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other.More precisely, one can be obtained from the other by uniformly scaling (enlarging or reducing), possibly with additional translation, rotation and reflection.

  3. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    25 Geometry and other areas of mathematics. 26 Glyphs and symbols. 27 Table of all the Shapes. ... a quasi-helical shape characterized by multiple tendril perversions;

  4. Symmetry - Wikipedia

    en.wikipedia.org/wiki/Symmetry

    A geometric shape or object is symmetric if it can be divided into two or more identical pieces that are arranged in an organized fashion. [5] This means that an object is symmetric if there is a transformation that moves individual pieces of the object, but doesn't change the overall shape.

  5. Self-similarity - Wikipedia

    en.wikipedia.org/wiki/Self-similarity

    In mathematics, a self-similar object is exactly or approximately similar to a part of itself (i.e., the whole has the same shape as one or more of the parts). Many objects in the real world, such as coastlines , are statistically self-similar: parts of them show the same statistical properties at many scales. [ 2 ]

  6. Rep-tile - Wikipedia

    en.wikipedia.org/wiki/Rep-tile

    Such a shape necessarily forms the prototile for a tiling of the plane, in many cases an aperiodic tiling. A rep-tile dissection using different sizes of the original shape is called an irregular rep-tile or irreptile. If the dissection uses n copies, the shape is said to be irrep-n. If all these sub-tiles are of different sizes then the tiling ...

  7. Homeomorphism - Wikipedia

    en.wikipedia.org/wiki/Homeomorphism

    In mathematics and more specifically in topology, a homeomorphism (from Greek roots meaning "similar shape", named by Henri Poincaré), [2] [3] also called topological isomorphism, or bicontinuous function, is a bijective and continuous function between topological spaces that has a continuous inverse function.

  8. Shape - Wikipedia

    en.wikipedia.org/wiki/Shape

    All similar triangles have the same shape. These shapes can be classified using complex numbers u, v, w for the vertices, in a method advanced by J.A. Lester [5] and Rafael Artzy. For example, an equilateral triangle can be expressed by the complex numbers 0, 1, (1 + i√3)/2 representing its vertices.

  9. Elementary mathematics - Wikipedia

    en.wikipedia.org/wiki/Elementary_mathematics

    Elementary mathematics, also known as primary or secondary school mathematics, is the study of mathematics topics that are commonly taught at the primary or secondary school levels around the world. It includes a wide range of mathematical concepts and skills, including number sense , algebra , geometry , measurement , and data analysis .