Quelltext der Seite Number Theory and Art



== Reference ==
Vera W. de Spinadel: [[Number Theory and Art]]. In: [[Bridges 2003]]. Pages 415–422 

== DOI ==

== Abstract ==
The Metallic Means Family (MMF), was introduced by the author [1], as a family of positive irrational quadratic
numbers, with many mathematical properties that justify the appearance of its members in many different fields of
knowledge, including Art. Its more conspicuous member is the Golden Mean. Other members of the MMF are the Silver
Mean, the Bronze Mean, the Copper Mean, the Nickel Mean, etc.

== Extended Abstract ==

== Bibtex == 

== Used References ==
1] Spioadel Vera W. de, From the Golden Mean to chaos, Nueva Librerfa, Buenos Aires,
Argentina, 1998.

[2] Kepler Johannes, Mysterium Cosmographicum de admirabili proportione orbium celestium,
1596.

[3] Plato, Timaeus. D. Lee (trans.), New York: Penguin, 1977.

[4] Hawkins Gerald S., Stonehenge decoded, edition Dell Publishing Co. New York, 1965.

[5] Hambidge Jay, The elements oj Dynamic Symmetry, Dover Publications Inc., 1967.

[6] Soroko Eduard M., Golden code oj NeJertiti's Image, ISIS Fourth International Conference,
Technion, Haifa, Israel, September 1998.

[7] Lund F. M., Ad Quadratum. In English (Batsford) and French (A. Morance) editions. Also Ad
Quadratum II in Norwegian, 1921.

[8] Zeisiog Adolph, Aesthetische Forschungen, 1855.

[9] Le Corbusier, EI Modulor. Ensayo sobre una medida armOnica a la escala humana aplicable
universalmente a la arquitectura y a la mecanica y Modulor 2 (1955). Los usuarios tienen la
palabra. Continuaci6n de EI Modulor (1948). EditorialPoseid6n, Barcelona, Espana, 1976.

[10] Kappraff Jay, Musical proportions at the basis oj systems oj architectural proportion, NEXUS
- Architecture and Mathematics, edited by Kim Williams, pp. 115-133, 1996.

[11] Brunes Tons, The secrets oj ancient Geometry and its use, Copenhagen: Rhodos Int. Science
Publishers, 1967.

[12] Gumbs G. And Ali M. K., Dynamical maps. Cantor spectra and 10calizationJor Fibonacci and
related quasiperiodic lattices, Phys. Rev. Lett. 60, Nr 11, 1081-1084, 1988.

[13] Kohmoto M., Entropy functionJor Multifractals, Phys. Rev. A37: 1345-1350, 1988.

[14] EI Naschie M. S., Silver Mean Hausdorff dimension and Cantor sets, Chaos, Solitons &
Fractals 4: 1862-1870, 1994.

[15] Kolmogorov A. N., On the preservation oj quasiperiodic motions under a small variation oj
Halmilton'sfunction, Dokl. Akad. Nauk. USSR 98: 525,1954.

[16] Arnold V. I., Smalls denominators and the problem oj stability oj motion in classical and
celestial Mechanics, Russ. Math. Surv. 18: 85-191, 1963.

[17] Moser J., Convergent series expansions oj quasiperiodic motions,. Math. Zeit. 33: 505-5433,
1931.


== Links ==
=== Full Text === 
http://archive.bridgesmathart.org/2003/bridges2003-415.pdf

[[intern file]]

=== Sonstige Links ===
http://archive.bridgesmathart.org/2003/bridges2003-415.html