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  2. Symmetry - Wikipedia

    en.wikipedia.org/wiki/Symmetry

    This article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many people; in science and nature; and in the arts, covering architecture, art, and music. The opposite of symmetry is asymmetry, which refers to the absence of symmetry.

  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. Hermann–Mauguin notation - Wikipedia

    en.wikipedia.org/wiki/Hermann–Mauguin_notation

    These are the crystallographic point groups 1 and 1 (triclinic crystal system), 2, m, and ⁠ 2 / m ⁠ , and 222, ⁠ 2 / m ⁠ ⁠ 2 / m ⁠ ⁠ 2 / m ⁠, and mm2 (orthorhombic). (The short form of ⁠ 2 / m ⁠ ⁠ 2 / m ⁠ ⁠ 2 / m ⁠ is mmm.) If the symbol contains three positions, then they denote symmetry elements in the x, y, z ...

  5. Confronted animals - Wikipedia

    en.wikipedia.org/wiki/Confronted_animals

    Confronted animals, or confronted-animal as an adjective, where two animals face each other in a symmetrical pose, is an ancient bilateral motif in art and artifacts studied in archaeology and art history. The "anti-confronted animals" is the opposing motif, with the animals back to back.

  6. Formal balance - Wikipedia

    en.wikipedia.org/wiki/Formal_balance

    Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Help; Learn to edit; Community portal; Recent changes; Upload file

  7. Icosahedral symmetry - Wikipedia

    en.wikipedia.org/wiki/Icosahedral_symmetry

    Icosahedral symmetry is equivalently the projective special linear group PSL(2,5), and is the symmetry group of the modular curve X(5), and more generally PSL(2,p) is the symmetry group of the modular curve X(p). The modular curve X(5) is geometrically a dodecahedron with a cusp at the center of each polygonal face, which demonstrates the ...

  8. Symmetry in Science and Art - Wikipedia

    en.wikipedia.org/wiki/Symmetry_in_Science_and_Art

    The book is divided into two parts. The first part is an updated version of A.V. Shubnikov's 1940 book Symmetry: laws of symmetry and their application in science, technology and applied arts (Russian: Симметрия : законы симметрии и их применение в науке, технике и прикладном искусстве). [1]

  9. Contour rivalry - Wikipedia

    en.wikipedia.org/wiki/Contour_rivalry

    Contour rivalry is an artistic technique used to create multiple possible visual interpretations of an image. An image may be viewed as depicting one thing when viewed in a certain way; but if the image is flipped or turned, the same lines that formed the previous image now make up an entirely new design.