The perception of symmetry in art and in nature has been appreciated since antiquity, with development of the underlying laws tracing back at least to Pythagorean times. By the end of the eighteenth century it was realized that the immense variety of natural crystal shapes could be accounted for on the basis of a rather small number of symmetry operations, of which some were equally applicable to biological systems. The mathematical theory of symmetry continued to mature throughout the last century, culminating in the ...
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The perception of symmetry in art and in nature has been appreciated since antiquity, with development of the underlying laws tracing back at least to Pythagorean times. By the end of the eighteenth century it was realized that the immense variety of natural crystal shapes could be accounted for on the basis of a rather small number of symmetry operations, of which some were equally applicable to biological systems. The mathematical theory of symmetry continued to mature throughout the last century, culminating in the independent discoveries in Russia, Germany, and England that a total of only 230 independent ways exist in which the operations of rotation, reflection, and translation can be combined to transform three-dimensional geometrical objects into themselves. Derivation of the 230 space groups depends ultimately on restricting the meaning of symmetry to that of a property of purely geometrical figures. A. V. Shubnikov and his collaborators, over the past three decades, expanded this concept of symmetry to include the sign of transformation operations.
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Add this copy of Symmetry in Science and Art to cart. £8.05, good condition, Sold by ThriftBooks-Reno rated 4.0 out of 5 stars, ships from Reno, NV, UNITED STATES, published 1995 by Plenum Press.
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Seller's Description:
Good with no dust jacket. 420 pages; B&W illustrations. Graphs. Minor pencil markings on a couple of pages. Previous owner's name on front free endpaper and on the exterior edges of textblock. Light fading on spine and on cover edges. Minor foxing on the exterior edges of textblock. Good condition otherwise. No other noteworthy defects.; -Your satisfaction is our priority. We offer free returns and respond promptly to all inquiries. Your item will be carefully cushioned in bubble wrap and securely boxed. All orders ship on the same or next business day. Buy with confidence.
