101. Collection De Nombres, Fractales Complexes, Mandelbrot,Julia, Newton z 3 , e z , etc. Exemples de courbes fractales de mandelbrot. http://membres.lycos.fr/villemingerard/Suite/FracComp.htm

NOMBRES - Curiosités, théorie et usages Accueil Dictionnaire Rubriques Index ... M'écrire Édition du: RUBRIQUE: FRACTALES Introduction Index des objets fractals Complexes Propriétés ... Suites Sommaire de cette page FRACTALES DE MANDELBROT - FIGURE DU POU FRACTALES DE JULIA Pages voisines Symétries Points Paradoxes Géométrie ... Chaîne d'Or FRACTALES DE MANDELBROT - FIGURES DU POU Voyez comment les programmer C'est assez simple! Figure classique de fractale, très impressionnante et pourtant obtenue très simplement. Il s'agit de décrire la convergence de la fonction récursive: Z n = (Z n-1 ) ² + C La nouvelle valeur de la fonction est égale à l'ancienne valeur au carré additionnée d'une constante. Selon la valeur initiale Z de Zn et pour une valeur donnée de C, la fonction diverge rapidement vers l'infini De manière surprenante, les zones de convergences sont intimement mêlées aux zones de divergences. Pour obtenir un graphique, on exécute le calcul dans le monde des nombres complexes Z = X + iY On marque en noir les valeurs de C (réel en X, imaginaire en Y) qui donnent une convergence. Le programme sur ordinateur est particulièrement simple pour un effet spectaculaire.

102. Fractal Artwork Exhibits Fractal Artwork Exhibits. by Kevin J. Gross. About fractals http://www.goshen.edu/~kevin/fractals.html

Fractal Artwork Exhibits by Kevin J. Gross About Fractals Technical Details New Dimensions Exhibit Early World Views Exhibit Gentle Transitions Exhibit 3D Projections Exhibit Logarithmia Comes to Seahorse Valley Exhibit Return to Kevin Gross' Home Page Visitors since July 8, 1999

103. Aburns Department of Mathematics Long Island University CW Post Campus Brookville, NY 11548 aburns@liu.edu. MY WEB SITE IS MOVING! THE NEW http://phoenix.liu.edu/~aburns/webpage/aburns.htm

Department of Mathematics Long Island University C.W. Post Campus Brookville, NY 11548 aburns@liu.edu MY WEB SITE IS MOVING! THE NEW ADDRESS IS: http://myweb.cwpost.liu.edu/aburns/ (It's still in a state of chaos as I'm updating the links!) Mathematics and Art Applets Plants using String Rewriting Imaginary Gardens M-furcations, M = 2,3,4,... or Around the boundary of M0 Orbits, Mandelbrot Set and Julia Sets ... Links to interesting math-related web sites

104. Fantastic Fractals Latest Headlines. Fantastic fractals 98 FREE! Read more about the newsletter here. Copyright ©1997-2002 Fantastic fractals. All rights reserved. http://www.techlar.com/fractals/websys.exe?file=index.html

105. The Mandelbrot Set The mandelbrot set is a type of infinitely complex mathematical object known as a fractal. No matter how much you zoom in, there is still more to see. http://www.mindspring.com/~chroma/mandelbrot.html

The Mandelbrot Set JDK 1.0 version If you were using a Web browser with Java, you could explore the Mandelbrot set here. This is a little applet I wrote that lets you explore the Mandelbrot set. The Mandelbrot set is a type of infinitely complex mathematical object known as a fractal. No matter how much you zoom in, there is still more to see. There are many strange and beautiful sights to see when you explore the Mandelbrot set, ranging from the sublime to the psychedelic. In my applet, you can set the area you want to zoom in on by holding down the mouse button and dragging on the picture. You can also set the coordinates that you want to look at in the four text boxes. Press "Zoom In" when you are satisfied with the bounds you want to see. For instance, try changing "Xmax" to 1.1 and then click on "Zoom In." The program runs much faster if your computer has a floating point math processor such as that found in the Intel Pentium. You might try setting the resolution to "Low" until you find an interesting area and then have a look at the "High Res" version. You'll need a web browser which supports JDK 1.1 to view this applet. Web browsers which support JDK 1.1 include:

106. Fractal Geometry - A Gallery Of Monsters Benoit mandelbrot, The Fractal Geometry of Nature, 1977, Ch 1. A man may love a paradox without either losing his wit or his honesty. http://www.calresco.org/fractal.htm

Fractal Geometry - A Gallery of Monsters by Chris Lucas "Why is geometry often described as 'cold' and 'dry' ? One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline, a tree..." Benoit Mandelbrot, The Fractal Geometry of Nature, 1977, Ch 1 "A man may love a paradox without either losing his wit or his honesty." Ralph Waldo Emerson, Uncollected Prose, 1841 Introduction What do the following have in common ? A galaxy, a lung, a coastline, a tree A figure that has more than two and less than three dimensions A figure with an infinite perimeter and zero area A solid that contains only two dimensions A figure which changes its shape the closer you look at it A figure that looks the same at any scale ? All of these are related to the same thing, the magic of fractals ! Paradoxical Coastlines Impossible ? In this strange world nothing is quite what it seems... Take the coastline of Britain for example. How long is it ? Nobody knows. Of course they do you say ! Ah, but they know roughly the area of the country so they must, by Euclid, know the minimum boundary surely, an equivalent circle ? Yes, but the actual boundary is infinite ! To see this, go in your mind to the seaside with a metre rule and measure a section of rock. You will skip over a few crevices will you not ? Now use a kilometre ruler instead - this skips over a lot more resulting in a different, lower reading. Take now a 1 cm measurement, this will go around most irregularities and give a much bigger total. So, the length is variable isn't it ? But not infinite surely ?

107. Seek2.com Try searching these categories Search Suggestions. Computers Computer Hardware Software Internet Programming Web Design Finance http://www.deepleaf.com/fractal/

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