 |
Temas: Matemáticas. Naturaleza. Arte. Mapa del sitio. Mail. |
 |
Matemáticas
de la Simetría espiral.
Enlaces y Referencias del Aspecto Matemático
Enlaces
Página Básica relacionada con la espiral (EDUCATIVA, Básica)
http://www.educ.queensu.ca/~fmc/may2002/may2002.htm
Fibonacci Numbers and Nature.
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html
What does it mean to be golden?
http://www.math.uiuc.edu/~gfrancis/math306/math306web/GoldenRatioPeteWintermute.htm
Fibonacci: The Man and The Math
http://www.arches.uga.edu/~iluvkids/Home.html
Rectángulo áureo (en español, gracias a Gacetilla Matemática)
http://www.arrakis.es/%7Emcj/notas006.htm
Fibonacci (en español, gracias a Gacetilla Matemática)
http://www.arrakis.es/%7Emcj/fibonacc.htm
Sucesión de Fibonacci
http://personal.redestb.es/javfuetub/aritmetica/sucesiones/sucfibon.html
Representing seashells surface (G. Lucca Italy)
http://www.mi.sanu.ac.yu/vismath/lucca/
The Matter of Lost Light
http://www.spirasolaris.ca/llight.html
The Equiangular Spiral
http://www.math.duke.edu/education/ccp/materials/mvcalc/equiang/contents.html
Some Golden Geometry
http://jwilson.coe.uga.edu/EMT668/EMAT6680.2001/Youn/EMAT6690/Essay%201/Some%20golen%20geometry.html
Lifestyle and shell growth in ammonites (¿POR QUÉ ESPIRAL?)
http://www.ebel-k.de/Ammoniten/Ammovortrag1/ammovortrag1.html
http://www.ebel-k.de/Ammoniten/Ammovortrag1/Ammovortrag2/ammovortrag2.html
The Rose and the Nautilus
http://www.math.ubc.ca/~hoek/Teaching/Golden/Divina.html
Gestalt Principles and Dynamic Symmetry (Nature's Design Connections to Our Built World)
http://www.public.asu.edu/~detrie/msj.uc_daap/article.html
The Golden Rectangle and the Golden Ratio
http://www.jimloy.com/geometry/golden.htm
SYMMETRY AND ORNAMENT by Slavik V. Jablan
http://www.emis.de/monographs/jablan/cont.htm
The Root-Five Rectangle
http://www.spirasolaris.ca/hambidge1a.html
Notes on the logarithmic spiral, golden section and the fibonacci series
http://www.spirasolaris.ca/rcarchibald.html
The golden ratio
http://www.ac-noumea.nc/maths/amc/polyhedr/gold_.htm
Fibonacci Numbers and the Golden Section
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html
Constructing the internal golden section points: phi
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/phi2DGeomTrig.html#cons1
Here is a intro into the Golden Proportion, PHI
http://www.heartbeat2000.com/phi.htm
The Golden Number
http://www.darylndaryl.com/number.html
Phi and Mathematics
http://www.evolutionoftruth.com/goldensection/math.htm
Simetrias Dinamicas: Autopoiesis
http://www.geocities.com/Area51/Starship/9201/phimega/phimegatrad.html
Pierre, Fermat
http://www.mat.usach.cl/histmat/html/ferm.html
Espiral de Durero
http://thales.cica.es/rd/Recursos/rd99/ed99-0648-02/durero.html
Espiral Logarítmica
http://thales.cica.es/rd/Recursos/rd99/ed99-0648-02/logarit.html
Libros
The Golden Ratio: The Story of Phi, the World's Most Astonishing Number (By Mario Livio)
http://www.wnyc.com/books/11057
Wahl, John & Stacey.
I can count the petals of a flower. National Council of Teachers of Mathematics. 2nd ed. 1991. ISBN 0-87353-224-4
Hulme, Joy N.
Sea Squares. Hyperion Books for Children.
1991. ISBN 1-56282-080-X (library) or ISBN 1-56282-079-6 (trade)
Enzensberger, Hans Magnus.
The Number Devil: a mathematical adventure.
This is an absolutely wonderful story which explains many complex ideas of mathematics in a simple and elegant way.
This book truly shows the beauty and magic of mathematics! ISBN 0-8050-5770-6
The Curves of Life by Theodore A. CookReferencias
http://www.amazon.com/exec/obidos/ASIN/048623701X/fibonacnumbersan
Spiral Symmetry (Hardcover) by Istvan Hargittai, Clifford A.
Pickoverhttp://www.amazon.com/exec/obidos/tg/detail/-/9810206151/102-2612781-0344135?v=glance
The Self-Made Tapestry: Pattern Formation in Nature by Philip Ball
http://www.amazon.com/exec/obidos/tg/detail/-/0198502435/ref=pd_rhf_f_1/102-2612781-0344135?v=glance&s=books&no=*&st=*
SPIRAL SYMMETRY
edited by I Hargittai (Hungarian Academy of Science) & C A Pickover (IBM T. J. Watson Research Center)
http://www.wspc.com/books/popsci/1370.html
Referencias
Cowen, Painton. 1979. Rose Windows. London: Thames and Hudson.
Fonseca, Rory. 1993. Shape and Order in Organic Nature: The Nautilus Pompilius. Leonardo 26: 201-204.
Hambidge, Jay. 1926. The Elements of Dynamic Symmetry. Rpt. New York: Dover, 1953.
Lawrence, J. Dennis. 1972. A Catalog of Special Plane Curves. New York: Dover.
Lockwood, E. H. 1967. A Book of Curves. Cambridge: Cambridge University Press.
Maor, Eli. 1994. e: The story of a number. Princeton: Princeton University Press.
Schattschneider, Doris. 1990. M C Escher: Visions of Symmetry. New York:W H Freeman.
Sharp, John. 1997. Golden section spirals. Mathematics in School 26, 5: 8-12.
Yates, Robert C. 1947. Curves and Their Properties. Rpt. Washington: National Council of Teachers of Mathematics, 1974.
