81. Mandelbrot And Julia Set Explorer mandelbrot Set, Filled Julia Set. Button selected, Action performed bymouse click. The mandelbrot set is kindof an index to the Julia sets. http://pjt33.akshor.com/fractals.html

Home Quotes Papers Fractals ... Site Map Mandelbrot Set Filled Julia Set Button selected Action performed by mouse click Julia Causes the Julia applet to draw the Julia set corresponding to the point where you clicked. The Mandelbrot set is kind-of an index to the Julia sets. Centre Recentres the fractal on the point where you clicked Zoom in Zooms in by a factor of 2, recentring at the point where you clicked Zoom out Zooms out by a factor of 2 without recentring Further info on Mandelbrot and Julia sets Last updated 23rd Mar, 2002. Comments etc. to webmaster@pjt33.akshor.com

82. Java Fractal Generator And Introduction To Fractal Mathematics to see larger images of the fractals. You can launch it with full parameter controlslike the one on the top of this page, or as just a mandelbrot explorer. http://www.lilavois.com/nick/fractals/

Please support this site by getting shirts and gifts at MagentaStudios! JavaMan Mandelbrot Fractal Generator Java Applet by Nick Lilavois fractal t-shirts fractal t-shirts, fractal tshirts, fractal shirts, fractal t-shirt, fractal tshirt, fractal shirt, fractal mugs, fractal mug, fractal mousepad, fractal mousepads, mandelbrot t-shirts, mandelbrot tshirts, mandelbrot shirts, mandelbrot t-shirt, mandelbrot tshirt, mandelbrot shirt, mandelbrot mugs, mandelbrot mug, mandelbrot mousepad, mandelbrot mousepads fractal tshirts fractal t-shirts, fractal tshirts, fractal shirts, fractal t-shirt, fractal tshirt, fractal shirt, fractal mugs, fractal mug, fractal mousepad, fractal mousepads, mandelbrot t-shirts, mandelbrot tshirts, mandelbrot shirts, mandelbrot t-shirt, mandelbrot tshirt, mandelbrot shirt, mandelbrot mugs, mandelbrot mug, mandelbrot mousepad, mandelbrot mousepads fractal shirts fractal t-shirts, fractal tshirts, fractal shirts, fractal t-shirt, fractal tshirt, fractal shirt, fractal mugs, fractal mug, fractal mousepad, fractal mousepads, mandelbrot t-shirts, mandelbrot tshirts, mandelbrot shirts, mandelbrot t-shirt, mandelbrot tshirt, mandelbrot shirt, mandelbrot mugs, mandelbrot mug, mandelbrot mousepad, mandelbrot mousepads fractal t-shirt fractal t-shirts, fractal tshirts, fractal shirts, fractal t-shirt, fractal tshirt, fractal shirt, fractal mugs, fractal mug, fractal mousepad, fractal mousepads, mandelbrot t-shirts, mandelbrot tshirts, mandelbrot shirts, mandelbrot t-shirt, mandelbrot tshirt, mandelbrot shirt, mandelbrot mugs, mandelbrot mug, mandelbrot mousepad, mandelbrot mousepads

83. Mandelbrot - Chaos And Fractals hewgill.com Chaos and fractals mandelbrot, Search. mandelbrot Chaos andfractals. Oh no! Your browser does not appear to support Java applets. http://www.hewgill.com/chaos-and-fractals/c14_mandelbrot.html

hewgill.com Chaos and Fractals mandelbrot Search mandelbrot - Chaos and Fractals Oh no! Your browser does not appear to support Java applets. You will not be able to view the samples unless your browser supports Java. (view source) iteration sierpinski koch ... mandelbrot

84. Article: Fractals BB mandelbrot, fractals form, chance, and dimension, Translation ofLes objets fractals, WH Freeman, San Francisco, 1977. Michael http://www1.physik.tu-muenchen.de/~gammel/matpack/html/Mathematics/Fractals.html

1 Fractals 1.1 Monofractals Introduction A short walk through the Mandelbrot Set References 1.1.1 Introduction 1.1.3 A short walk through the Mandelbrot Set All picture in this section have been created with Matpack's fractal explorer Mandel . The documentation and the source code for this program are available. -plane Quadratic polynomials can be parameterized in different ways which lead to different shapes for the Mandelbrot sets. The typical parameterization is in terms of a complex parameter , and the function being iterated is f(z) = z . If the set 0, f(0), f(f(0)), ... is bounded, then lies in the Mandelbrot set. With this parameterization, the most notable feature of the set is a cardioid studded with circles. To reproduce the image call: mandel -B -r -2 1 -1.5 1.5 -n 500 -c cool-256 mapout log revcmapout size 150 150 export gif mu0.gif -plane If , then the function being iterated is f(z)=z . With respect to this parameterization, a point belongs to the Mandelbrot set in the -plane if its inverse belongs to the Mandelbrot set in the -plane. The inverse of the caridiod is the exterior of a teardrop shape: The circles on the outside of the cardioid are inverted to circles on the inside of the teardrop. The cusp of the cardioid becomes the cusp of the teardrop. To reproduce the image call:

85. Robert E. Barrett Photography - Fractal (Mandelbrot And Julia) Image Gallery Ind mandelbrot Hearts and Arteries Click photo to enlarge or- Click Oak Venice NepalMountains Wildflowers Colorado International Abstract fractals Trip Galleries http://www.robert-barrett.com/photo/galfractal.html

Warning No Javascript! The browser being used either does not support Javascript or it supports Javascript but Javascript is currently disabled. This website requires JavaScript. Therefore, you will have problems using this website. Solution: If your browser does not support Javascript, upgrade your browser; or, if your browser supports Javascript but it is disabled, enable Javascript ( more information... Quick Links What's New Photo Search Contact Help ... About New Galleries More Galleries Trip Galleries Gallery Index Trip Reports... Baja Calif Sur Havana, Cuba Travel Quizzes... Baja Calif Sur Havana, Cuba Travel Index New Galleries Hawaii - Flowers Hawaii - Red Hot Lava Flow Hawaii - Mauna Kea Hawaii - Ocean Views ... Hawaii - Waikiki Beach More Galleries Scroll Menu Mt. Everest Oak Hill Autumn Oak Venice ... Fractals Trip Galleries Baja Calif Sur Havana, Cuba Exposure Theory Exposure Calculator ... Photo Search eval(keyseq11); Fractal Images See Also... Abstract All Galleries... Page Help No, these are not photographs. But for many years I've been interested in fractal (Mandelbrot and Julia) images and have developed my own computer programs to calculate and color them (the secret's in the coloring). (If you are interested in how this is done, just type "fractal mandelbrot" into your favorite search engine to find a plethora of information on the internet.) Viewing Instructions: Click a photo to enlarge it. Or click

86. Fractal EXtreme Fractal Theory Back to top. Fractal Dimensions. The mandelbrot set and Julia setsare fractals. What this means is that the boundary between the http://www.cygnus-software.com/theory/theory.htm

Sample Code Imaginary Numbers Complex Numbers The Mandelbrot Set ... Connectedness Introduction What is the Mandelbrot set? A mathematician might say it was the locus of points, C, for which the series Zn+1 = Zn * Zn + C, Z0 = (0,0) is bounded by a circle of radius two, centered on the origin. But most of us aren't mathematicians. It's a pretty picture. It's a mathematical wonder that we can appreciate, and to some extent understand, even if we don't understand the first paragraph. It's just one example of an amazing new science with applications as far ranging as weather forecasting, population biology, and computerized plant creation. It's a floor wax and a dessert topping! It's all of these and more. Sample Code To demonstrate just how simple it is to generate pictures of the Mandelbrot set, we have included a small program written in "C". If you have a C compiler, try it out. It is a complete working program. For those of you who aren't programmers, we have excerpted the code which actually does all of the calculations. Here it is, all eleven lines of it: That's all it takes to do a rudimentary exploration of the Mandelbrot set. Slowly.

87. PiNDar - Theoretical Aspects: Fractals BB mandelbrot, fractals Form, Chance, and Dimensions, WH Freeman and Co., 1977;H. Peitgen, H. Jürgens, D. Saupe, fractals for the Classroom, SpringerVerlag http://bias.csr.unibo.it/research/pindar/fractals.htm

Fractals Fractal image generation Iterated Function Systems (IFS) Julia Set and Mandelbrot Set References ... Links Fractal image generation Fractal images can be informally defined as images that exhibit self-similarity. In other words, reduced versions of the fractal appear throughout the fractal. Another property that usually exists in fractals is infinite complexity and detail. Benoit B. Mandelbrot that is often called "the father of fractals", furthered the idea of fractional dimension and coined the term fractals. There are many different kinds of fractals: Iterated Function Systems (IFS). - a system of affine transformations that is iterated many times. These images are made up of frames: the external one is named bounding frame. Each frame gives the information defining the affine transformation (a composition of a rotation, a reflection, and a translation) and contains a self-similar copy of the whole image. There are two methods of generating IFS. The first is the random method, also known as "the chaos game": starting with any point inside the bounding frame, randomly picking a frame and mapping that point to that frame, the plotted points will "converge" towards a fractal structure. The second is the deterministic method: starting with the bounding frame and some smaller frames chosen inside it, the image is repeatedly reshaped to fit into the smaller frames. Julia Set and Mandelbrot Set - Each fractal is generated by an equation f(z) repeatedly applied to each point of the complex space; colors are associated to the numbers of iterations needed for the result being less than a fixed value. Julia set equations do not change during the iterative process, while Mandelbrot set equations change with the point that is being plotted.

88. Fractal -- From MathWorld mandelbrot, B. B. fractals Form, Chance, Dimension. San Francisco, CAW. H. Freeman, 1977. mandelbrot, B. B. The Fractal Geometry of Nature. http://mathworld.wolfram.com/Fractal.html

Applied Mathematics Complex Systems Fractals Fractal An object or quantity which displays self-similarity , in a somewhat technical sense, on all scales. The object need not exhibit exactly the same structure at all scales, but the same "type" of structures must appear on all scales. A plot of the quantity on a log-log graph versus scale then gives a straight line, whose slope is said to be the fractal dimension . The prototypical example for a fractal is the length of a coastline measured with different length rulers . The shorter the ruler , the longer the length measured, a paradox known as the coastline paradox Illustrated above are the fractals known as the Gosper island Koch snowflake box fractal Sierpinski sieve ... Barnsley's fern , and Mandelbrot set Attractor Backtracking Barnsley's Fern ... Zaslavskii Map References Barnsley, M. F. and Rising, H. Fractals Everywhere, 2nd ed. Boston, MA: Academic Press, 1993. Bogomolny, A. "Fractal Curves and Dimension." http://www.cut-the-knot.org/do_you_know/dimension.shtml Fractal Geometry and Stochastics. Bunde, A. and Havlin, S. (Eds.). Fractals and Disordered Systems, 2nd ed.

89. Mandelbrot Set -- From MathWorld Branner, B. The mandelbrot Set. In Chaos and fractals The MathematicsBehind the Computer Graphics, Proc. Sympos. Appl. Math., Vol. 39 (Ed. http://mathworld.wolfram.com/MandelbrotSet.html

Applied Mathematics Complex Systems Fractals Recreational Mathematics ... Dickau Mandelbrot Set The term Mandelbrot set is used to refer both to a general class of fractal sets and to a particular instance of such a set. In general, a Mandelbrot set marks the set of points in the complex plane such that the corresponding Julia set is connected and not computable "The" Mandelbrot set is the set obtained from the quadratic recurrence equation with , where points C in the complex plane for which the orbit of does not tend to infinity are in the set . Setting equal to any point in the set that is not a periodic point gives the same result. The Mandelbrot set was originally called a molecule by Mandelbrot. J. Hubbard and A. Douady proved that the Mandelbrot set is connected . Shishikura (1994) proved that the boundary of the Mandelbrot set is a fractal with Hausdorff dimension 2. However, it is not yet known if the Mandelbrot set is pathwise-connected. If it is pathwise-connected, then Hubbard and Douady's proof implies that the Mandelbrot set is the image of a circle and can be constructed from a disk by collapsing certain arcs in the interior (Douady 1986). The

90. Explore: Mandelbrot Set According to mandelbrot, fractals themselves are irregular geometric shapes havingidentical structure at all scales. In his 1967 paper How long is the http://library.wolfram.com/explorations/explorer/Mandelbrot.html

PreloadImages('/common/images2003/btn_products_over.gif','/common/images2003/btn_purchasing_over.gif','/common/images2003/btn_services_over.gif','/common/images2003/btn_new_over.gif','/common/images2003/btn_company_over.gif','/common/images2003/btn_webresource_over.gif'); The Mandelbrot set was introduced in 1980, showing how complex phenomena could be generated from simple rules iterated repeatedly. The Mandelbrot set is formed by iterating z z c for all values of c x i y , with an initial value of z = 0. For different complex numbers c , many of the points generated by iterating z c escape to infinity. Those that do not are in the Mandelbrot set. Zoom in and out on different regions of the Mandelbrot set by changing the x and y range of values. X min X max Y min Y max Benoit Mandelbrot, often referred to as the father of fractals, almost single-handedly created a new geometry of nature. This new mathematics, with a physics base, has fundamentally altered our view of the universe. It is based on the concept of using simple rules to generate complex structures. According to Mandelbrot, fractals themselves "are irregular geometric shapes having identical structure at all scales." In his 1967 paper "How long is the coast of Britain? Statistical self-similarity and fractional dimensionally?" Mandelbrot identified the concept of length as dependent upon the choice of measuring instrument. He introduced the concept of fractal dimension by suggesting that the dimension of a coastline, for example, must fall somewhere between the dimensions of a smooth curve (with dimension one) and a smooth surface (with dimension two).

91. FUSION Anomaly. Fractals on in the brain. Noting the similarity between these psychedelic hallucinationsand the selfsimilar patterns of mandelbrot's fractals, Plant characterizes http://fusionanomaly.net/fractals.html

Telex External Link Internal Link Inventory Cache Fractals This nOde last updated August 26th, 2002 and is permanently morphing... (4 Oc (Dog) / 3 Mol ( Water fractal A geometric pattern that is repeated at ever smaller scales to produce irregular shapes and surfaces that cannot be represented by classical geometry. Fractals are used especially in computer modeling of irregular patterns and structures in nature. Fractal Fractal, any of many geometric shapes that are complex and detailed at any scale. Fractals are often self-similar- that is, each portion is a reduced-scale replica of the whole. Many such self-repeating figures can be constructed. French mathematician Benoit B. Mandelbrot discovered fractal geometry in the 1970s. Mandelbrot adopted an abstract definition of dimension , with the result that a fractal cannot be treated mathematically as existing in one, two, or any other whole-number dimensions. It must be treated as having some fractional dimension. A coastline, if measured at progressively smaller scales, would tend toward infinite length. Mandelbrot has suggested that mountains, clouds, galaxy clusters, and other natural phenomena are similarly fractal in nature. The beauty of fractals has made them a key element in computer graphics. Fractals have also been used to

92. Fractals: Mandelbrot Sets mandelbrot Sets. The concept of the mandelbrot set is similar to that of theJulia set. The mandelbrot set Corresponding to the formula z = z 2 + c. http://www.bath.ac.uk/~ma0cmj/MandelbrotSets.html

Mandelbrot Sets The concept of the Mandelbrot set is similar to that of the Julia set . It is also set in the complex plane and uses a similar algorithm. The algorithm for the Mandelbrot set goes as follows: Make a complex number z equal to + 0i. Choose a point on the complex plane and make a complex number c equal to its coordinates. Make z = z + c and iterate this infinitely. If the number did not go to infinity, then c belongs to the set and can be coloured black. Otherwise, you can colour c depending on how quickly it went to infinity (All the points the same colour require the same number of iterations to reveal that they are attracted to infinity). Repeat these steps for all points on the plane. The Mandelbrot set Corresponding to the formula z = z + c As with but Julia set, it is not possible to iterate a function infinitely, but if the distance from the origin becomes greater than two the point will go to infinity. The formula z = z + c produces the most famous Mandelbrot set, but other formulae produce different Mandelbrot sets. For it to be classed as a Mandelbrot set c must be the variable and z must start at the point (0,0) One of the remarkable features of the Mandelbrot set is that if you choose a point c and magnify it you will find the Julia set corresponding to that formula and that value of c. This has been proved for many values of c but at present it is conjectured that inside the Mandelbrot set are all the possible Julia sets each sitting upon their own value of c.

93. Mandelbrot On Fractals, Academia, And Industry mandelbrot on fractals, Academia, and Industry. By Akshay Patil staffwriter. The Tech had an opportunity to talk to math and physics http://www-tech.mit.edu/V121/N63/Mandelbrot.63f.html

Mandelbrot on Fractals, Academia, and Industry By Akshay Patil staff writer The Tech had an opportunity to talk to math and physics legend Benoit B. Mandelbrot during his short visit to MIT. One of the fathers of fractal science, Mandelbrot discovered a mathematical set of numbers whose graphical representation is so stunning that it is often considered the face of fractals and chaos today. The Tech: Do you have any personal heroes and inspirations that have driven you over the years? Benoit Mandelbrot: For a long time my hero was John von Neumann, who was, among other things, one of the pioneers of computers. I was a post-doc with von Neumann when Dr. von Neumann died and he was my hero because he succeeded during his life in doing work in mathematics and application based technologies; all without compromising his perfectly rigorous manner of doing things. In time, more heroes appeared. One that is not so widely known I think, a pity, is a Spaniard who lived a hundred years ago, his name was Santiago Ramon y Cajal. Do you know his name? Ramon y Cajal was a doctor in Spain who described the structures of the nervous system, which is made of molecules, if you wish, which are the neurons, and atoms, which are parts of neurons, and how they interact. He then drew pictures of all these neurons. It was so perfect, so early, that in the early 1950s when neuron anatomy awoke again, because of new progress here at MIT, my friends at MIT were using as the reference for the nervous system, a book, first published in Spanish 60 years before. They were using the French translation from 1903 .

94. What Are Fractals? The mandelbrot set was named after Benoit mandelbrot, a mathematician who did muchof the did a lot of work in a branch of Mathematics which led to fractals. http://www.fractals.com/tfic/html/fractals.html

What are Fractals? The Mandelbrot set Mandelbrot set, blowup #1 Mandelbrot set, blowup #2 Mandelbrot set, blowup #3 ... Another Julia set

95. Stomp*3 - Fractals Technical SubSection. This description of fractals will be limited to the twomost common, popular, and simplest fractals the mandelbrot and Julia set. http://stompstompstomp.com/fractals

Weblogs Pictures Technical Other ... Links Fractals I've always been curious about fractals, and recently I've spent the time necessary to be familiar with the basics of fractals. You don't need to be a geek, a mathematics God, or a computer programmer to appeciate the beauty of fractal images. This section of my personal website is split into two distinct subsections: a gallery of beautiful and interesting fractal images for your viewing pleasure, and a technical section describing the theroy of fractals and linking to some simple software I've created to generate fractal images. Gallery Sub-Section Technical Sub-Section This description of fractals will be limited to the two most common, popular, and simplest fractals: the Mandelbrot and Julia set. The theroy behind these fractals is applicable to other fractal sets, though. A fractal is a set of complex numbers. Which numbers are part of the set is determined by an iterative function which must be evaluated for an infinite number of iterations at every complex number. Gee, it sounds like that would take a long time. The Mandelbrot and Julia sets are defined by the equation z n+1 = z n + c z and c are both complex numbers.

96. | Mandelbrot And Julia Set Fractals This shockwave generates both mandelbrot and Julia set fractals. Unlikeother fractal generators in Director/Shockwave this uses http://www.venuemedia.com/mediaband/collins/bothfractals.html

This shockwave generates both Mandelbrot and Julia set fractals. Unlike other fractal generators in Director/Shockwave this uses imaging lingo to create fractals up to five times faster. Use the picons on the left and right of the control panel to select the fractal. The real and imaginary constants only effect the Julia set fractals. Use the color gradient to change the color table used to draw the image. To activate any changes to the constants or the color table click the 'Set' button. The progress bar at the bottom of the control panel turns green when the image is complete. Click anywhere on the fractal to zoom in at that location, shift click to zoom out and click the fractal picon to restart that fractal.

97. Fractals Perhaps the king of all the fractals is the mandelbrot Set (named after its discovererof course!), which contains endless sublandscapes within itself http://www.kheper.net/cosmos/fractals/fractals.htm

Fractals The Fractal nature of Reality The Discovery of the Fractal Fractal Links Fractal Cosmologies The Fractal nature of Reality The universe around us is not linear but fractal in nature. That is, we see the same pattern appearing time and again, no matter what the scale it is examined on. Look at a river with its tributories. Each tributory is itself a river, with smaller tributories, which in turn are themselves rivers with smaller tributories, and so on down to creeks. Or a fern frond; the main frond of which consists of a two rows of sub-fronds, each of which consists of two rows of smaller fronds or leaves. Or the pattern of a coastline: bays and peninsulas contain smaller bays and peninsulars, right down to grains of sand. Benoit Mandelbrot and the discovery of the Fractal The science of Fractals was the discovery of a mathematician by the name of Benoit Mandelbrot. Mandelbrot, of Lithuanian Jewish stock, was born in Warsaw in 1924, and moved to France in 1935. At this time, French mathematical training and thinking was strongly analytic and abstract, being under the sway of the influential group of young formalist mathematicians who wrote under the psuedonym of Nicolas Bourbaki. In contrast to their approach, Mandelbrot visualized problems whenever possible, prefering geometry to abstract formalism. He attended the Ecole Polytechnique, then Caltech, where he encountered the problems of explaining fluid turbulence. In 1958 he joined IBM, where he began a mathematical analysis of electronic "noise". It was then that he began to perceive a structure - a hierarchy of fluctuations at all scales - that could not be explained by the existing statistical methods. Through the years that followed, he developed his fractal geometry. (The word "fractal" itself Mandelbrot coined in 1975. It is derived from the Latin adjective fractus, from the verb frangere, to break; and appropriately related to the English fracture and fraction).

98. Chaos, Fractals, And The Mandelbrot Set Chaos, fractals, and the mandelbrot Set. Steven Jackett, April 27,1993. The study of Chaos as a science emerged slowly and only very http://www.sjconsult.com/kaospapr.htm

Chaos, Fractals, and the Mandelbrot Set Steven Jackett, April 27, 1993 The study of Chaos as a science emerged slowly and only very recently with the advent and availability of the computer. The complex dynamical systems that produce seemingly chaotic behavior are modeled by systems of several usually non-linear equations in several variables. These systems of equations can only be solved practically by a computer to produce enough precisely accurate data to be analyzed for this chaotic ( or so it seems ) behavior. As a matter of fact, the word "chaos" is actually a misnomer, because if the behavior were indeed truly chaotic there would be no pattern or underlying order for scientists and mathematicians to study. An interesting anecdote that provides a basic exposure to "chaotic" behavior of a dynamical system is that of Dr. Edward Lorenz's experiments with a system of twelve equations in twelve variables that he was using to simulate the weather. In 1960, Dr. Lorenz, a meteorologist at M.I.T., was researching the effectiveness of the currently accepted methods of forecasting the weather by using them on his system of equations which acted as a model for the behavior of the weather. With the input of initial or current weather conditions Lorenz's computer-programmed model would simulate changes in the weather over arbitrary periods of time. One day he accidentally entered the initial conditions rounded to only six digits to the right of the decimal point, instead of his usual nine digits of accuracy. Before realizing his mistake, he suspected that the new-fangled computing device had somehow malfunctioned to produce the strange and unexpected results that appeared on the display. With this only very slight difference in starting position, the model proceeded at first along the same path as before, but after some time began to deviate ever increasingly until after two months of weather simulation, there was absolutely no similarity between the resulting weather conditions of the two slightly different initial conditions.

99. Powersof10.com fractals This is the mandelbrot set, the quintessential case of fractals,the opposite of Powers of Ten because it is scale invariant. http://www.powersof10.com/powers/patterns/station_163.html

June 29, 2002 thru January 5, 2003 California Academy of Sciences For more information, including video clips from the exhibition. Visit the California Academy of Sciences. Eames Office 2665 Main Street Santa Monica, CA 90405 ph 310-396-5991 fx 310-396-4677 Fractals Text Overview Contained on CD Free Association Books ... Videos FRACTALS This is the Mandelbrot set, the quintessential case of fractals, the opposite of Powers of Ten because it is scale invariant. This means that as you move closer, what you see looks the same as what you have already seen. The Mandelbrot set is a pattern generated by testing irrational numbers with a function that produces finite or infinite results, and then mapping the outcome. Benoit Mandelbrot discovered the set and its visual manifestations. He coined the term "fractal" to describe the quality you see here in this station. Mandelbrot has said that he often shows Powers of Ten to demonstrate the opposite of fractals. In the Space Strand, the structure and quality of the universe change from power of ten to power of ten, whereas with fractals, when you move in close, though you may be examining a smaller section of the set of numbers, they have a fundamentally identical structure. [Video Credit: c1997 Eames Office, created by DATT JAPAN, Inc. for Powers of Ten Interactive]

100. A@a__frActAl__a@a Numerous fractal images, various categories. Screensavers.Category Science Math Chaos and fractals Fractal Art...... fractales, images,fractal, fractals,digital art,mandelbrot, animation, computerart,images, fractales pictures,art pictures, art gallery,Art Exhibit,virtual http://fractales.free.fr/

a@a_ rActAl Ultrafractal Français Français sans JavaSript ... without JavaScript fractales, images,fractal, fractals,digital art,Mandelbrot, animation, computer art,images, fractales pictures,art pictures, art gallery,Art Exhibit,virtual gallery, pictures , Art Gallery,Artist, Animation, Animations, Chaos, virtual gallery, art, ani par Philippe de COURCY mation, computer art, images,mathematical , mathematic , digital art,animations, artist ,Mandelbrot,fractint , ultrafractal , virtual ,design, infinity, complex, dynamical systems, Chaotic Systems, Computer-Generated Fractals,digital art, computer art, mathematic , artwork , pictures, graphics,computer art, mathematic , artist ,Mandelbrot, fractint , ultrafractal ,design, infinity, complex, dynamical systems, Fractint , True Color, Graphics, mathematic , virtual gallery, pictures, graphics, Mandel , art, geometry , exhibit, animation, computer art,images, Mandels, mathematical Mandelbrots,graphics, visual, pictures, Geometry, artwork,graphics, virtual gallery, pictures, graphics,artwork ,mathematic , art gallery, animation, animations,computer art,images , mathematic ,mathematical art, artist ,Mandelbrot, fractint , ,geometry , exhibit, design, infinity, complex, dynamical systems, Fract privacy

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