In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences.
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Da: WorldofBooks, Goring-By-Sea, WS, Regno Unito
Hardback. Condizione: Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Codice articolo GOR006097695
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Da: Southampton Books, Sag Harbor, NY, U.S.A.
Hardcover. Condizione: Very Good. First Edition. First Edition, Third Printing (1999). Not price-clipped. Published by World Scientific, 1997. Octavo. Hardcover. Book is very good with previous owner writing front flyleaf, tear front cover, and shelfwear.100% positive feedback. 30 day money back guarantee. NEXT DAY SHIPPING! Excellent customer service. Please email with any questions. All books packed carefully and ship with free delivery confirmation/tracking. All books come with free bookmarks. Ships from Sag Harbor, New York. Codice articolo 419365
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Da: Zoom Books East, Glendale Heights, IL, U.S.A.
Condizione: good. Book is in good condition and may include underlining highlighting and minimal wear. The book can also include "From the library of" labels. May not contain miscellaneous items toys, dvds, etc. . We offer 100% money back guarantee and 24 7 customer service. Codice articolo ZEV.9810232640.G
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Da: HPB-Red, Dallas, TX, U.S.A.
Hardcover. Condizione: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Codice articolo S_398998532
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Da: ThriftBooks-Atlanta, AUSTELL, GA, U.S.A.
Hardcover. Condizione: Very Good. No Jacket. May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less. Codice articolo G9810232640I4N00
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Da: Greenworld Books, Arlington, TX, U.S.A.
Condizione: very_good. Fast Free Shipping â" Very Good condition book with a firm cover and clean pages. Shows normal use and some light wear or limited notes markings. A solid, nice copy to enjoy. Codice articolo GWV.9810232640.VG
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Da: PAPER CAVALIER UK, London, Regno Unito
Condizione: very good. Gently used. May include previous owner's signature or bookplate on the front endpaper, sticker on back and/or remainder mark on text block. Codice articolo 9789810232641-3
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Da: Greener Books, London, Regno Unito
Hardcover. Condizione: Used; Very Good. **SHIPPED FROM UK** We believe you will be completely satisfied with our quick and reliable service. All orders are dispatched as swiftly as possible! Buy with confidence! Greener Books. Codice articolo 5132926
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Da: GreatBookPrices, Columbia, MD, U.S.A.
Condizione: New. Codice articolo 817063-n
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Da: California Books, Miami, FL, U.S.A.
Condizione: New. Codice articolo I-9789810232641
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