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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.
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]
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 ...
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.
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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 ...
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]
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.