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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. 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.

  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 aspects of M. C. Escher's periodic drawings

    en.wikipedia.org/wiki/Symmetry_aspects_of_M._C...

    The chapter analyzes 22 of Escher's design in terms of black-white symmetry and assigns each a symbol in the international notation describing its symmetries. In the third chapter, Patterns with Polychromatic Symmetry, the analysis is extended to 7 of Escher's design possessing three or more colors. The book is printed in full color to ...

  9. Composition (visual arts) - Wikipedia

    en.wikipedia.org/wiki/Composition_(visual_arts)

    The central visual element, known as element of design, formal element, or element of art, constitute the vocabulary with which the visual artist compose. These elements in the overall design usually relate to each other and to the whole art work. The elements of design are: Line — the visual path that enables the eye to move within the piece