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siguiente previous contenido    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.




siguiente previous contenido

Universidad de Chile

Facultad de Ciencias Físicas y Matemáticas

Centro de Modelamiento Matematico

Departamento de Ingeniería Matemática