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  2. List of planar symmetry groups - Wikipedia

    en.wikipedia.org/wiki/List_of_planar_symmetry_groups

    This article summarizes the classes of discrete symmetry groups of the Euclidean plane. The symmetry groups are named here by three naming schemes: International notation, orbifold notation, and Coxeter notation. There are three kinds of symmetry groups of the plane: 2 families of rosette groups – 2D point groups; 7 frieze groups – 2D line ...

  3. 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

  4. The Symmetries of Things - Wikipedia

    en.wikipedia.org/wiki/The_Symmetries_of_Things

    The Symmetries of Things has three major sections, subdivided into 26 chapters. [8] The first of the sections discusses the symmetries of geometric objects. It includes both the symmetries of finite objects in two and three dimensions, and two-dimensional infinite structures such as frieze patterns and tessellations, [2] and develops a new notation for these symmetries based on work of ...

  5. Geometric symmetry (book) - Wikipedia

    en.wikipedia.org/wiki/Geometric_symmetry_(book)

    The book is divided into two parts. The first part (chapters 1-13) is largely descriptive and written for the non-mathematical reader. The second part (chapters 14-27) is more mathematical, but only elementary geometrical knowledge is assumed.

  6. Template:632 symmetry table - Wikipedia

    en.wikipedia.org/wiki/Template:632_symmetry_table

    Print/export Download as PDF; Printable version; In other projects ... Removing mirrors at the order-3 point creates [6,3 +], 3*3 symmetry, index 2. Removing all ...

  7. 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]

  8. Singapore math - Wikipedia

    en.wikipedia.org/wiki/Singapore_math

    In the U.S., it was found that Singapore math emphasizes the essential math skills recommended in the 2006 Focal Points publication by the National Council of Teachers of Mathematics (NCTM), the 2008 final report by the National Mathematics Advisory Panel, and the proposed Common Core State Standards, though it generally progresses to topics at ...

  9. List of character tables for chemically important 3D point ...

    en.wikipedia.org/wiki/List_of_character_tables...

    The body of the tables contain the characters in the respective irreducible representations for each respective symmetry operation, or set of symmetry operations. The symbol i used in the body of the table denotes the imaginary unit: i 2 = −1. Used in a column heading, it denotes the operation of inversion.

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