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<p>Die Seite wurde neu angelegt: „ == Reference == Vera W. de Spinadel: <a href="/index.php?title=Number_Theory_and_Art" title="Number Theory and Art">Number Theory and Art</a>. In: <a href="/index.php?title=Bridges_2003" title="Bridges 2003">Bridges 2003</a>. Pages 415–422 == DOI == == Abstract == The Metallic Means Family (…“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> Vera W. de Spinadel: [[Number Theory and Art]]. In: [[Bridges 2003]]. Pages 415–422 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> The Metallic Means Family (MMF), was introduced by the author [1], as a family of positive irrational quadratic<br /> numbers, with many mathematical properties that justify the appearance of its members in many different fields of<br /> knowledge, including Art. Its more conspicuous member is the Golden Mean. Other members of the MMF are the Silver<br /> Mean, the Bronze Mean, the Copper Mean, the Nickel Mean, etc.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> 1] Spioadel Vera W. de, From the Golden Mean to chaos, Nueva Librerfa, Buenos Aires,<br /> Argentina, 1998.<br /> <br /> [2] Kepler Johannes, Mysterium Cosmographicum de admirabili proportione orbium celestium,<br /> 1596.<br /> <br /> [3] Plato, Timaeus. D. Lee (trans.), New York: Penguin, 1977.<br /> <br /> [4] Hawkins Gerald S., Stonehenge decoded, edition Dell Publishing Co. New York, 1965.<br /> <br /> [5] Hambidge Jay, The elements oj Dynamic Symmetry, Dover Publications Inc., 1967.<br /> <br /> [6] Soroko Eduard M., Golden code oj NeJertiti&#039;s Image, ISIS Fourth International Conference,<br /> Technion, Haifa, Israel, September 1998.<br /> <br /> [7] Lund F. M., Ad Quadratum. In English (Batsford) and French (A. Morance) editions. Also Ad<br /> Quadratum II in Norwegian, 1921.<br /> <br /> [8] Zeisiog Adolph, Aesthetische Forschungen, 1855.<br /> <br /> [9] Le Corbusier, EI Modulor. Ensayo sobre una medida armOnica a la escala humana aplicable<br /> universalmente a la arquitectura y a la mecanica y Modulor 2 (1955). Los usuarios tienen la<br /> palabra. Continuaci6n de EI Modulor (1948). EditorialPoseid6n, Barcelona, Espana, 1976.<br /> <br /> [10] Kappraff Jay, Musical proportions at the basis oj systems oj architectural proportion, NEXUS<br /> - Architecture and Mathematics, edited by Kim Williams, pp. 115-133, 1996.<br /> <br /> [11] Brunes Tons, The secrets oj ancient Geometry and its use, Copenhagen: Rhodos Int. Science<br /> Publishers, 1967.<br /> <br /> [12] Gumbs G. And Ali M. K., Dynamical maps. Cantor spectra and 10calizationJor Fibonacci and<br /> related quasiperiodic lattices, Phys. Rev. Lett. 60, Nr 11, 1081-1084, 1988.<br /> <br /> [13] Kohmoto M., Entropy functionJor Multifractals, Phys. Rev. A37: 1345-1350, 1988.<br /> <br /> [14] EI Naschie M. S., Silver Mean Hausdorff dimension and Cantor sets, Chaos, Solitons &amp;<br /> Fractals 4: 1862-1870, 1994.<br /> <br /> [15] Kolmogorov A. N., On the preservation oj quasiperiodic motions under a small variation oj<br /> Halmilton&#039;sfunction, Dokl. Akad. Nauk. USSR 98: 525,1954.<br /> <br /> [16] Arnold V. I., Smalls denominators and the problem oj stability oj motion in classical and<br /> celestial Mechanics, Russ. Math. Surv. 18: 85-191, 1963.<br /> <br /> [17] Moser J., Convergent series expansions oj quasiperiodic motions,. Math. Zeit. 33: 505-5433,<br /> 1931.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2003/bridges2003-415.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2003/bridges2003-415.html</div>

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