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Fractals:     more books (100)

Fractals and Scaling In Finance: Discontinuity, Concentration, Risk by Benoit B. Mandelbrot, 2010-11-02 Fractals and Chaos Simplified for the Life Sciences by Larry S. Liebovitch, 1998-01-08 Creating Fractals (Graphics Series) by Roger Stevens, 2005-08-15 Fractals and Chaos: The Mandelbrot Set and Beyond by Benoit B. Mandelbrot, 2004-01-09 Nonlinear Workbook: Chaos, Fractals, Cellular Automata, Neural Networks, Genetic Algorithms, Gene Expression by Willi-Hans Steeb, 2008-06-17 Fractal Analysis (Quantitative Applications in the Social Sciences) Fractal Geometry in Digital Imaging by Martin J. Turner, Jonathan M. Blackledge, et all 1998-07-07 Fractal Horizons: The Future Use of Fractals Dynamical Systems and Fractals: Computer Graphics Experiments with Pascal by Karl-Heinz Becker, Michael Dörfler, 1989-11-24 Fractal Geometry in Architecture & Design by Carl Bovill, 1996-03-28 Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics) by Gerald Edgar, 2007-11-26 Integral, Probability, and Fractal Measures by Gerald A. Edgar, 2010-11-02 Real-World Fractals by Mark Finlay, Keith A. Blanton, 1994-04 Fractals for the Classroom: Strategic Activities Volume Three (Volume 0) by Heinz-Otto Peitgen, Hartmut Jürgens, et all 1999-03-26

lists with details

41. Fractals
    fractals are one of the most interesting puzzles of mathematics. They are made by a simple formula, yet they have such beautiful and complex designs.  
    http://www.bugman123.com/Fractals/Fractals.html
    
    Extractions: Fractals are one of the most interesting puzzles of mathematics. They are made by a simple formula, yet they have such beautiful and complex designs. This page provides simple Mathematica code for many of the most interesting types of fractals. Some of this code may not be very efficient, but it should be enough to give you a basic understanding of the mathematics involved.

42. LizardTech - Press Room - Press Release
    www.lizardtech.com/solutions/gf/ LizardTech - Geospatial image compression, manipulation, storage Compression software and tools for geographic data, document management, and web distribution.  
    http://www.lizardtech.com/solutions/gf/
    
    Extractions: Extensis and LizardTech Sell Plug-ins to Third Party Software Developer onOne Software purchases popular line of productivity enhancement products for Photoshop and QuarkXPress. PORTLAND, Ore. - July 28, 2005 - Celartem, Inc. and its company brands - Extensis and LizardTech - today announced the sale of its popular Photoshop Plug-ins and QuarkXPress XTensions to independent software developer, onOne Software. Products included in this purchase are pxl SmartScale, PhotoFrame, Intellihance Pro, Mask Pro, PhotoTools, and QX-Tools Pro from Extensis and the Genuine Fractals product from LizardTech. Extensis and LizardTech will continue to support these products until July 31, 2005 when onOne Software will take control of all aforementioned titles. Celartem, Inc. is selling these products to refine its existing product lines focusing on digital content management and distribution - GeoExpress, Document Express, Portfolio, Font Reserve and Suitcase.

43. Arcane Fractals Home Page
    Take a journey into the fascinating and beautiful world of fractals.  
    http://www.arcanefractals.com/
    
    Extractions: Apophysis Tutorial Apophysis Resources Arcane Fractals is currently undergoing an upgrade and as a result, there may be some broken links or glitches. Please bear with me and things should be back to normal within the next couple of days. Fran, 16th January 2008 Fractals are graphic representations of mathematical equations. Without the aid of a computer to generate the graphics from the equations, these mathematical objects would remain invisible. Traditionally flame fractals have always been particularly beautiful because of their ethereal quality. But in recent times, with the advent of many new marvellous scripts, new previously unimagined forms are now available. Many of my images are actually collages of individual flame fractals. Most of these flames are made in Apophysis, though a few of the earliest ones were made in the Gimp using it's flame plugin. Therefore, all the elements that you see, for example, the trees, plants, stars, etc. are flame fractals. These are opened in my graphics programme and then arranged to make the final picture. On a rare occassion I may sharpen a flame if it is warranted, but I don't add any extra effects as I like their purity.

44. Lifesmith Classic Fractals Home
    Company offering large image galleries and merchandise.  
    http://www.lifesmith.com/

45. Chaos, Solitons Fractals - Elsevier
    Journal which includes applications in science and engineering. Tables of contents and abstracts; full text to subscribers.  
    http://www.elsevier.com/locate/chaos
    
    Extractions: Home Site map Elsevier websites Alerts ... Products Journal information Product description Editorial board Audience Abstracting/indexing Subscription information Bibliographic and ordering information Conditions of sale Dispatch dates Journal-related information Contact the publisher Impact factor Most downloaded articles Other journals in same subject area ... Select your view

46. Fractal Grower (home)
    Fractal Grower is Java software for growing Lindenmayer substitution (Lsystems) fractals. In its default mode, the software displays an interface for  
    http://www.cs.unm.edu/~joel/PaperFoldingFractal/

47. Math.com Wonders Of Math
    Learn about fractals and create your own beautiful fractal images by Make your own fractals, take the fractal challenge and see fractal movies.  
    http://www.math.com/students/wonders/fractals.html
    
    Extractions: Play Sudoku Fall Into Fractals The word FRACTAL was invented by Benoit Mandelbrot Fractals are interesting because as you zoom in closer, the pattern is just as beautiful and complex as when you start. Learn about fractals and create your own beautiful fractal images by following the links below. Interactive Fractal Sites Mandelbrot Set Zoom into a fractal in your browser window. Mandelbrot Explorer Make and post your own images. The Fractory A site built by students for the Thinkquest contest. Build your own fractals and learn about the math behind the images. Mandelbrot and Julia Set Explorer Zoom into fractals. Fractal Galleries

48. Alice Kelley's Fractals
    Alice Kelley, Cheshire Cat fractals. Send me feedback. The new Fractal Cosmos calendar All images Copyright 2002 Alice Kelley Terms of Use.  
    http://www.alicekelly.com/

49. Douglas Cootey's AtomicFractal Artwork
    I treat fractal images as a photographer would treat a landscape, incorporating design and color composition into each piece.  
    http://www.cootey.com/fractals/index.html
    
    Extractions: I treat fractal images as a photographer would treat a landscape, incorporating design and color composition into each piece. I call the process "Fractography". The process of my art differs from photography, however, in that I can alter the subject matter. I utilize happy accidents when I tweak and fiddle with the intial images and parameters. Then I pursue the image with focus and intensity though complex fractals require an investment in time and patience while they render. Allowing for serendipity makes fractography an art process more akin to watercolor painting and just as exciting for me. It is a process of discovery that uses layers of data like glazing and double glazing on canvas. As I adjust parameters and alter palettes I am betting that the resultant image is an improvement over the previous one. I do not stop until I love the results. Most images were created on a PC with Fractal eXtreme and, most recently

50. Fantastic Fractals
    But it turns out that fractals are an excellent tool for math teachers. At least that s the opinion of fractal fan Cynthia Lanius, a math teacher at Milby  
    http://whyfiles.org/046sci_project/fractal.html
    
    Extractions: If you think mathematics ricochets between the ancient and the mystical, never halting at the useful or comprehensible, if you think half of math was perfected by Euclid and Newton, and the other half can't be comprehended without a Ph.D., meet fractals. These geometric shapes are formed by repetition: Take a shape, do something to it, then do it again for as long as you want. Fractals generally start simple enough, but they can get hideously complicated. But it turns out that fractals are an excellent tool for math teachers. At least that's the opinion of fractal fan Cynthia Lanius , a math teacher at Milby High School, Houston, Texas. For one thing, she says, fractals make the shapes seen in nature. "You don't see a lot of triangles, squares or rectangles in the woods," but fractals show up in everything from cumulus clouds to fern fronds. For another, they are a field of modern math research that students can grasp. "Kids think that all mathematics was learned 500 years ago, that math is a dead study like Latin is a 'dead' language. I want them to understand that there are people living, breathing, and making a living as math researchers." Ten years ago, Lanius became captivated by fractals. When she consulted the web, she found the sites were either way too technical for her high-school students, or they were just pretty pictures with no explanations. So in June, 1996, Lanius created her own set of

51. Fractals & The Fractal Dimension
    It could be a fraction, as it is in fractal geometry. This generalized treatment of dimension is named after the German mathematician, Felix Hausdorff.  
    http://www.vanderbilt.edu/AnS/psychology/cogsci/chaos/workshop/Fractals.html
    
    Extractions: "Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line."(Mandelbrot, 1983). So far we have used "dimension" in two senses: Fractals, which are irregular geometric objects, require a third meaning: If we take an object residing in Euclidean dimension D and reduce its linear size by 1/r in each spatial direction, its measure (length, area, or volume) would increase to N=r D times the original. This is pictured in the next figure. We consider N=r D , take the log of both sides, and get log(N) = D log(r). If we solve for D. D = log(N)/log(r) The point: examined this way, D need not be an integer, as it is in Euclidean geometry. It could be a fraction, as it is in fractal geometry. This generalized treatment of dimension is named after the German mathematician, Felix Hausdorff. It has proved useful for describing natural objects and for evaluating trajectories of dynamic systems. Mandelbrot began his treatise on fractal geometry by considering the question: "How long is the coast of Britain?" The coastline is irregular, so a measure with a straight ruler, as in the next figure, provides an estimate. The estimated length, L, equals the length of the ruler, s, multiplied by the N, the number of such rulers needed to cover the measured object. In the next figure we measure a part of the coastline twice, the ruler on the

52. Dynamical Systems And Fractals Lecture Notes
    Lecture Notes by David J. Wright in HTML.  
    http://www.math.okstate.edu/mathdept/dynamics/lecnotes/lecnotes.html

53. Amazing Flame Fractals Take Your Breath Away | TechRepublic Photo Gallery
    Witness the beauty and elegance of mathematics with 50+ breathtaking fractals.)  
    http://content.techrepublic.com.com/2346-10878_11-33277-1.html
    
    Extractions: @import url("http://i.techrepublic.com.com/css/tr_ws2006.css"); @import url("http://i.techrepublic.com.com/css/trPhotoGallery.css"); @import url("http://news.zdnet.com/css/z/ads/hs.css"); On ZDNet: Windows 7: The Anti-Vista? by Tags: off topic geekend fractal background ... Digg This Witness the beauty and elegance of mathematics with 50 breathtaking fractals. Webshots member rajah created these Fractal Flames with Apophysis a freeware Windows application with which you can design and render fractal flames. According to http://apophysis.wikispaces.com/ and http://www.flam3.com/ , Fractal Flames were created by Scott Draves in 1992 and are an "extension of the iterated function system class of fractals".

54. Ivars Peterson's MathTrek
    Pascal s fractals. Fascinating patterns can arise out of arrays of numbers defined by . It s a neat way to explore the fractal side of Pascal s triangle.  
    http://www.maa.org/mathland/mathland_2_10.html
    
    Extractions: Ivars Peterson's MathTrek February 10, 1997 Fascinating patterns can arise out of arrays of numbers defined by simple rules. For example, start with the number 1, and make it the apex of what will become a triangle of numbers. In the second row, write two 1s. For each subsequent line, add together adjacent numbers of the previous row and write the sums in the new row, then place 1s at both ends of the line. Here's what one gets for the first eight rows: This set of numbers is now widely known as Pascal's triangle, named for French philosopher and mathematician Blaise Pascal (1623-1662), who studied it intensively. Pascal, however, was not the first to identify the pattern. The mathematician, astronomer, and poet Omar Khayyam (1048-1122) described this number triangle in his writings. It was also well-known to the Chinese. A nine-row version was featured prominently in the introduction to the book "Precious Mirror of the Four Elements," which appeared in 1303. The book's author refers to the triangle as a "diagram of the old method for finding eighth and lower powers." Indeed, the triangle represents a simple way to determine, for example, that (

55. African Fractals
    African fractals book (Rutger s University Press) Interactive software simulate African Reviews of African fractals in newspapers and journals  
    http://www.rpi.edu/~eglash/eglash.dir/afractal/afractal.htm
    
    Extractions: by Ron Eglash African Fractals book (Rutger's University Press) Interactive software: simulate African designs, create your own patterns, and learn about fractal mathematics African fractals: the TED video ... Reviews of African Fractals in newspapers and journals Related web sites International Study Group on Ethnomathematics Back to Ron Eglash home page

56. Evil Mad Scientist Laboratories - Iterative Algorithmic Plastic Sculpture: Fimo
    Iterative Algorithmic Plastic Sculpture Fimo fractals . Fimo fractals and fancy nbsp;fiber from The Daily Photon Evilmadscientist has a welldocumented  
    http://www.evilmadscientist.com/article.php/fimofractals

57. Fractals For Everyone -- Into The Mystic -- "Where The Endless Dimension Begins"
    Go beyond your imagination. Mystic Fractal features powerful yet easy to use 3D fractal generators with all the options you need to create intriguing  
    http://www.mysticfractal.com/
    
    Extractions: Fractals For Everyone Into the Mystic " Where the Endless Dimension Begins " Site Updated: March 6, 2008 Go beyond your imagination Welcome to the dynamic worlds of Mystic Fractal! Inside you will find the latest fractal generators (for Windows and OS X), and galleries filled with timeless fractal landscapes. If you are looking for something outside the common and mundane, step into my domain... What do QuaSZ and other Mystic Fracta l programs offer you? The simplicity of random image creation You can create unique fractals without a long learning curve Hundreds of built-in formulas : you never need to know anything about the complex math to use it 3-D images with specular (Phong) highlights and Perlin noise textures for added realism Advanced 3-D export capabilities [obj, pov, dfx] to photo-realistic programs like Bryce, POV-Ray and Vue d'Esprit AVI (Win) / QuickTime (Mac) options to animate every image: when you finish an image the fun is just beginning! Email support , free bug fixes and minor updates for the life of the programs: we are always happy to see what you do with our programs, or point you in the right direction if you get lost Proceed at your own pace : when you are ready for the nuts and bolts there are plenty to tinker with Random batching create up to 1000 random images unattended Each of our fractal programs is a different world to discover, but all are driven by the same simplified interface. In the short time it takes to learn one program, you are ready to start on another. Then the programs begin to act like a suite of programs, since many options such as palettes, formulas and textures are exportable from one program to another.

58. MathsNet Fractals
    In order to understand fractals you need to understand a little bit of mathematics concerning complex numbers and the process of iteration.  
    http://www.mathsnet.net/fractals.html
    
    Extractions: 4D Magic Cube A brief summary of the mathematics of fractals. In order to understand fractals you need to understand a little bit of mathematics concerning complex numbers and the process of iteration. First you need to know about the special number known as i . You can do arithmetic with i . A complex numbe r is a number made up of two parts added together. These parts are called the "real" part and the "imaginary" part . Examples of complex numbers are: 4 - 6i, 2.1 + 4.7i, 1-i, and so on... In fact any number of the form a + bi, where a and b are real numbers, and i is as above, is a complex number. Addition and multiplication of these numbers is achieved using the conventional rules of algebra. Complex numbers have a size. It is usually called their

59. Hidden Dimension Galleries
    Ron Barnett s fractal images, music, raytracing, Ultra Fractal formulas and links.  
    http://www.hiddendimension.com/
    
    Extractions: Welcome to the wonderful world of algorithmic art. In your tour through this site you will be able to see algorithmic art created by a variety of programs and hear music created from mathematical algorithms. Come explore and learn more about fractals! Visit the art galleries and decide for yourself whether fractals can be art. Mouse over an image to see where it leads. Click on the image to visit the site. Email me Mathematics of Fractals: Visit this page for a description of the mathematics of various types of fractals - including Divergent, Convergent, Strange Attractors, IFS, Juliabrots, Quaternions, L-Systems, Kleinian Groups, Circle and Sphere Inversions and Hyperbolic Tessellations. Art Galleries: The main page for entrance to the various art galleries and animations. The memorial gallery for Red Williams is also here. Tutorials: The main page for UltraFractal tutorials for selected formulas. These are step-by-step how to instructions and a different from the help files available in the Downloads section below. Downloads: Some of my UltraFractal formulas are too large for inclusion the UltraFractal database and are available here. Windows style formula help files which can be used within UltraFractal are also available, along with a gradient editor designed for Fractint but which also works with UltraFractal.

60. Makin' Magic Fractals Freeware Fractal 3d Program
    Programs, fractals, utilities, freeware, shareware, source code, algorithms, MMFrac from Makin Magic. (Dave Makin s homesite)  
    http://skyscraper.fortunecity.com/terabyte/966/

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