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2. Geometric symmetry (book) - Wikipedia

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

   Geometric symmetry is a book by mathematician E.H. Lockwood and design engineer R.H. Macmillan published by Cambridge University Press in 1978. The subject matter of the book is symmetry and geometry .

3. 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]

4. 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

5. Colored Symmetry (book) - Wikipedia

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

   Colored Symmetry is a book by A.V. Shubnikov and N.V. Belov and published by Pergamon Press in 1964. The book contains translations of materials originally written in Russian and published between 1951 and 1958. The book was notable because it gave English-language speakers access to new work in the fields of dichromatic and polychromatic symmetry.

6. 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 ...

7. Symmetry - Wikipedia

   en.wikipedia.org/wiki/Symmetry

   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] An object has rotational symmetry if the object can be rotated about a fixed point (or in 3D about a line) without changing the overall shape. [7]