61. Coolmath.com - An Amusement Park Of Math And More! Designed For FUN! An amusement park of mathematics. Puzzles and number problems, fractals, geometry, calculus, algebra, online games, online calculators, and links. http://www.coolmath.com/

Coolmath.com: An amusement park of math designed for fun! Coolmath Sponsors (Ad Links): Find out how to get a link here! Insurance And Loans Bad Credit Loans Home Equity Loans ... Please help us serve you better by completing a demographic survey. Results will only be used internally for new lessons, etc. and for our sponsors HELP SUPPORT COOLMATH link to us make a donation sponsorships text link advertising ... ScienceMonster.com Thanks for visiting Coolmath.com

62. ThinkQuest : Library : The Fractory: An Interactive Tool For Creating And Explor own. fractals are just now emerging as a science. board. How to Understand fractals. fractals can be understood on many different levels. http://library.thinkquest.org/3288/fractals.html

Index Math Fractals The Fractory: An Interactive Tool for Creating and Exploring Fractals Fractals are chaos and order, math and beauty. This is a well-designed multi-level exploration of a simple yet infinitely complex world. View the impressive designs and try your hand at creating your own. Learn why scientistsin fields from astronomy to economicsfeel that fractals can help predict seemingly random occurrences. And those really into the math can discover who Julia and Mandelbrot are, and how complex numbers are used to plot a fractal. Visit Site 1996 ThinkQuest Internet Challenge Awards First Place Languages English Students Alex Rocky Run Middle School, Chantilly, VA, United States David A. Rocky Run Middle School, Chantilly, VA, United States Keith Rocky Run Middle School, Chantilly, VA, United States Coaches Jacqueline Rocky Run Middle School, Chantilly, VA, United States Sandra Rocky Run Middle School, Chantilly, VA, United States Rebecca Rocky Run Middle School, Chantilly, VA, United States Want to build a ThinkQuest site?

63. Caedes Desktop Backgrounds - Photographic, Abstract, 3D - Caedes Desktop Wallpap Archive of desktop wallpapers and backgrounds from the desktop of Caedes. Over 200 images including 3D computer art, fractals, abstracts, nature, and space scenes. http://www.caedes.net/

Galleries Abstract Computer Etcetera Holidays ... Upload Images Navigation Discussion Board The Caedes Cadre Contests World Gallery ... bt Welcome guest Log In or Register User: Pass: 94 Users Online June bjb +Samatar ::bigjon ... Mauricitolight 46 guests online 3499 users active today 82258 total members Featured Image: Water Web Title: Water Web Author: mayne Download this image. Gallery: Photography->Macro Top New Images Fantasy Pathway Purple succulent. Remembrance Water Rose ... spectronic beam 2387 regular members - 10381 total images - 65 new images today News New server updates - by caedes 5/23/04 7:48 AM I've got most of the new server's software working and you can try it out if you'd like. The software is set up at dev.caedes.net . I've imported the full database of users and images as well, so it will look exactly like the main site. Don't get confused! =) I've just pointed dev.caedes.net to the address of the new server, so if you don't see what you expect when you click on the link, just wait a bit. Please try out all the new features before we move the main site over there. Read more - 17 Comments "Guess the Artist" contest - by Samatar 5/19/04 11:36 PM In case you haven't noticed, a new contest is currently running. Eight of caedes regulars have submitted one image each under the user name "Guesstheartist" - the first member to guess which image belongs to which artist is the winner! Check the

64. ThinkQuest : Library : Fractals Unleashed http://library.thinkquest.org/26242/full/

Index Math Fractals Fractals Unleashed For centuries mathematicians rejected complex figures, leaving them under a single description: formless. For centuries geometry was unable to describe trees, landscapes, clouds, and coastlines. However, in the late 1970s a revolution of our perception of the world was brought by the work of Benoit Mandelbrot. He introduced and developed the theory of fractals figures that were truly able to describe these shapes. The theory was continued to be used in a variety of applications. Out website will show fractals importance in areas ranging from special TV effects to economy and biology. Besides applications it will contain a course on fractals, making the user familiar with topics of various difficulties. The website will have an enhanced section on generating fractals, and the user will have a chance to create fractals using a Java applet. Visit Site 1999 ThinkQuest Internet Challenge Languages English Students Mikhail Stuyvesant High School, Brooklyn, NY, United States Ming Jack Stuyvesant High School, Fresh Meadows, NY, United States

65. Java Fractals This page contains java applets to generate a number of different fractals, written by James Henstridge. These Java fractals. This http://www.daa.com.au/~james/fractals/

Home Software Talks Articles Fractals IFS fractals Mandelbrot Orbit Fractals Diary Java Fractals Update - As well as the new look, I have removed the old mandel0 applet, since it has been superceded by the Classic Mandelbrot/Julia Set applet. Also the code has been moved to the end of this contents page to make rest of the site look more user friendly. You will also notice that I have added a section on orbit fractals that contains six new applets. IFS Fractals What is an IFS fractal My Java IFS Applet Some IFS fractals Sierpinski Triangle Fern Spirals Dragon ... IFS Formula Complex Number Fractals Update - These fractals now work with Windows. Also, if they worked for you before, they will prbably run faster with more colours. (If you are interested in what changed, I have switched over to using an ImageProducer interface) If you want a better resolution, select a different pixel size from the list box (1 is best), and press the redraw button. What Does This Applet Do How the Formula is Used Different Sets: Classic Mandelbrot/Julia Set Cubic Mandelbrot/Julia Set Quartic Mandelbrot/Julia Set Phoenix Set ... Newton-Raphson type Fractal Orbit Fractals Orbit Fractals Introduction Fractal Popcorn Fractal Gingerbreadman Hopalong Orbit Fractal ... Inverse Julia Set Fractal Code Code for all my fractal applets IFS Applet Code Mandel0 Applet Code - My first attempt at a Mandelbrot Set applet.

66. Maths Index Articles and images on recreational math from fractals and magic squares to mathemorchids and Galois. http://www.geocities.com/aladgyma/articles/scimaths/maths.htm

Maths Index Mathemorchids The algorithms of nature. Polygrammagick The lesser-known cousins of magic squares. Reciprocal Arrangements Magic squares from the digits of prime reciprocals. Rep It Up More magic squares from reciprocals. Dying Jungian Rimbaud vs Galois, or Poetry vs Maths Platonic Hex (NEW 22/ii/2004) Magic Platonic polyhedra. Sequence and Pearls (NEW 14/iii/2004) Patterns created by modified Fibonacci sequences. The Joy of x (NEW 21/iii/2004) Patterns created by (x + y ) mod q (may load slowly). Squareway to Heaven (NEW 14/iii/2004) Magic squares dedicated to the seven heavenly bodies of traditional astrology. 3x3 Font (NEW 18/ii/2004) A minimal font. Gamma, Gamma, Gamma, Hey! The swastika and 1/273. Koch Doodles Fun with fractal snowflakes. 222 Divine Some interesting facts associated with the second repunit. 111 Chariots The 111 instances of the word "chariots" in the Old Testament of the King James Bible. Sum Beastliness Some simple mathematics associated with 666, the Number of the Beast. Delete and Repeat till Complete Deletion algorithms and multiplicative palindromes. Unless otherwise stated, all articles are by

67. Authorization Failure... ArtByMath Gallery features amazing 3dRaytrace art images and Ultra fractals designs. ArtByMath offers exclusive fine-art Posters http://www.artbymath.com/

Access Denied! This Server Message is displayed for any one of these reasons... The Server has detected a BOT, Search-Engine or Agent that is not allowed to access the site. allowed without appropriate permissions from the site owner. http://www.Lynxis.com

68. Panted Fiction Selection of 3D art, manipulations, composites, fractals, and backgrounds. http://www.paintedfiction.com/

A personal visual journey; exploring the often dark areas of one's soul. Several galleries of digital creations ranging from the surreal landscape of the fractal world, the turbulent seas, to a darker canvas of images. An expression of colours and textures just a little different. PaintedFiction.com

69. Fractopia Screen Saver Roll your own fractal screen savers with this easyto-use application. Explore the colorful world of fractals and design a screen saver using personal images. http://www.software-cottage.com/fss/index.html

70. Fractals -- An Introduction The purpose of this site is to present material to learn very simple methods to construct fractals, to do and practice some math, to appreciate the beauty of http://ejad.best.vwh.net/java/fractals/intro.shtml

Fractals An Introduction The purpose of this lesson is to learn very simple methods to construct fractals, to do and practice some math, to appreciate the beauty of fractals, and finally to have fun with math. The lesson includes several Java applets for hands-on construction and interaction with simple fractals. Lets start with definitions. In very simple terms, fractals are geometrical figures that are generated by starting with a very simple pattern that grows through the application of rules. In many cases, the rules to make the figure grow from one stage to the next involve taking the original figure and modifying it or adding to it. This process can be repeated recursively (the same way over and over again) an infinite number of times. The fractals' growth mechanism can be visualized very easily with a simple example. Start with a + sign and grow it by adding a half size + in each of the four line ends. Repeat the exact same process recursively as many times as desired. We'll call this the Plusses fractal: Notice how the + sign grows into a rhombus (popularly known as diamond) in very few simple steps. Further in the lesson we'll count the number of +'s in each of the stages to see how quickly its complexity grows.

71. Fractal Gallery Index of fractals Index of Groups Author ENTRY. Klikni si! Projekt PinkNet Postcard MusicHall Jokes KUDYKAM Alenka http://web.pinknet.cz/fractal/

Projekt PinkNet: Postcard MusicHall Jokes ... Adam Hauner Vsechna prava vyhrazena.

72. Eyebalm: Fine Art By Ann Stretton And Stan Starbuck Fine art exhibits by Ann Stretton and Stan Starbuck. Mixed media and digital Bryce, Photoshop, and fractals. http://eyebalm.com/

new! silver gemstone jewelry art ... gallery var site="sm5eyeblog"

73. Suzanne Alejandre - Fractal Links What do fractals look like? How can I find out more about fractals? There s a lot more on the Web about fractals. As you read, you http://mathforum.org/alejandre/workshops/fractal/fractal3.html

Suzanne's Math Lessons Fractals Suzanne Alejandre Magic Squares Multicultural Math Fair Polyhedra ... Tessellations What is a fractal? From the Fractal FAQ: "A fractal is a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced-size copy of the whole. Fractals are generally self-similar and independent of scale." "There are many mathematical structures that are fractals; e.g. Sierpinski triangle, Koch snowflake, Peano curve, Mandelbrot set, and Lorenz attractor. Fractals also describe many real-world objects, such as clouds, mountains, turbulence, and coastlines, that do not correspond to simple geometric shapes." This Fractal FAQ was created and edited by Ken Shirriff through September 26, 1994. The current editor is Ermel Stepp. Alan Beck writes: "Basically, a fractal is any pattern that reveals greater complexity as it is enlarged. Thus, fractals graphically portray the notion of 'worlds within worlds' which has obsessed Western culture from its tenth-century beginnings." Beck further explains that when we look very closely at patterns that are Euclidean, the shapes look more and more like straight lines, but that when you look at a fractal up close you see more and more details.

74. Tools To Help You Plan Your Images - Mark A. Jaress Digital imaging tools to assist people using Genuine fractals Photoshop plugin in planning scaling images, and understanding resolution. http://jaress.net/gf_pd/

Tools for Digital Imaging and Other Fun Stuff I wrote these tools to assist those people who are using the Photoshop plug-in Genuine Fractals in planning scaled images from medium or smaller sized images to larger sizes. Each tool has a help file attached to it in case you need some further guidance. I sincerely hope you enjoy your experience scaling to large sizes. Some Basics I get enough questions about basic image resolution that are not related to scaling that I thought I'd build this little overview of resolution. It's very simple and right now, a work in progress. The ScalingPlanner This tool is designed to help you get the maximum quality out of your files when scaling with Genuine Fractals. The Scanner Planner The ScannerPlanner is designed to help you make decisions regarding scanning an image which will be used at a larger size. This tool will help you work with a smaller file for image manipulation, color correction, etc., which will, at the end of the editing/production process, be scaled to a larger size for output. It is designed to help you make decisions in finding the optimum source file size when you know what your final, target size will be. It is not restricted to this specific use, however.

75. The Math Forum - Math Library - Fractals This page contains sites relating to fractals. Browse and Search the Library Home Math Topics Dynamical Systems fractals. Contents Why study fractals? http://mathforum.org/library/browse/static/topic/fractals.html

Browse and Search the Library Home Math Topics Dynamical Systems : Fractals Library Home Search Full Table of Contents Suggest a Link ... Library Help Selected Sites (see also All Sites in this category The Fractal Microscope - Education Group, National Center for Supercomputing Applications (NCSA) An interactive tool for exploring the Mandelbrot set and other fractal patterns. With the Fractal Microscope students can enjoy the art as they master the science of mathematics, and can address a variety of topics in the K-12 curriculum including scientific notation, coordinate systems and graphing, number systems, convergence, divergence, and self-similarity. The program is designed to run in conjunction with NCSA imaging tools such as DataScope and Collage. more>> Fractals - Cynthia Lanius This lesson plan for exploring fractals is designed so 4th through 8th grade students can work independently and be assessed innovatively. It conforms to the 1989 NCTM standards, and provides links to other fractal sites. Contents: Why study fractals? Making fractals: Sierpinski Triangle, Sierpinski Meets Pascal, Jurassic Park Fractal, Koch Snowflake. Fractal Properties: Self-similarity, Fractional dimension, Formation by iteration. Teacher-to-Teacher notes; Fractals on the Web. more>> Fractals (Mathematics Archives) - University of Tennessee, Knoxville (UTK)

76. Hawk's Domain 3D Graphics, fractals, animations and space images. http://art.net/~starhawk

carries you and welcomes you to Hawk will take you to places far beyond the Stars, beyond Time and Space, idyllic places full of color, wonder and beauty that can only exist in your imagination. A sanctuary where one can reflect on all things possible and impossible. All of the Art you see on my pages is digitally created, these are not scanned in paintings or photographs. All of my work is created in the 'Moment'... that is to say, I have no preconceived idea of what I am going to create when I start out... it flows from the Mind, Heart and Soul and as the 'Moment' changes so does the Image. I use many programs, and with few exceptions these images go through numerous processes before completion. Hawk's Digital Art Studio Here you will find images that are Landscape, Abstract, Surrealistic and Fantasy Best viewed in 16 million colors. My Studio will be separated into a number of Galleries with thumbnails of each picture which need to be clicked on to view full size.. Choose the link which is mostly in tune with your own personal tastes. FractalVisions Space I Space II Beyond Space ... Associations, Memberships and other Links

77. Desktop Wallpaper Images, Free Pictures, Free Wallpaper Backgrounds 3D rendered images, textures, gradients, fractals, and fantasy landscape. http://www.desktop-fx.com/

Welcome to the Best Quality site on the web for Free desktop wallpaper and Backgrounds, desktop graphics, 3D rendered images, textures, gradients, fractals, fantasy landscapes, bryce, abstracts, photos, patterns, digital art, all free to download. 00 Desktop-fx

78. Fractals - Amazing Seattle Fractals! - Screensavers, Tutorials, Free Software Amazing Seattle fractals! Fractal Art, Screensavers, Tutorials, Software more! Welcome to Amazing Seattle fractals! If you came http://www.fractalarts.com/ASF/

Amazing Seattle Fractals! Home Fractal Art Galleries Fractal Tutorials Fractal Of The Week ... Animation Theatre E-Mail: Fractal Software Guest Galleries Awards Will Engdahl Galleries ... About Welcome to Amazing Seattle Fractals! If you came to learn more about fractals, learn how to create your own fractal art, download free fractal software programs or just to view some fractal art galleries, you've come to the right place! These unique digital art images are created using a computer and fractal software generating programs. Fractals are created from mathematical formulas resulting in images of an astounding diversity of form, detail, color and light. I believe you will agree, as you view this digital art, that these images truly are AMAZING! Caution! This is a graphics intensive site! May 2004 News! Due to the amount of SPAM these days many e-mails I receive get eliminated before even opening. If you write please be sure to write something regarding fractals in the subject line or your e-mail may get deleted inadvertantly! Do not just put hi, N/A, hello etc. in the subject line as this is common in many SPAM e-mails and they get deleted before opening. Thanks! New galleries scheduled to be added soon!

79. An Introduction To Fractals An Introduction to fractals. Written by Paul Bourke May 1991. DLA Diffusion Limited Aggregation. The most useful fractals involve chance http://www.swin.edu.au/astronomy/pbourke/fractals/fracintro/

An Introduction to Fractals Written by Paul Bourke May 1991 "Philosophy is written in this grand book - I mean universe - which stands continuously open to our gaze, but which cannot be understood unless one first learns to comprehend the language in which it is written. It is written in the language of mathematics, and its characters are triangles, circles and other geometric figures, without which it is humanly impossible to understand a single word of it; without these, one is wandering about in a dark labyrinth." - Galileo (1623) What is a fractal? B. Mandelbrot A rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced/size copy of the whole. Mathematical A set of points whose fractal dimension exceeds its topological dimension. Chaotic Systems The classic Mandelbrot below has been the image that has greatly popularised chaotic and fractal systems. The Mandelbrot set is created by a general technique where a function of the form z n+1 = f(z n ) is used to create a series of a complex variable. In the case of the Mandelbrot the function is f(z

80. Mathartpaste Collaborative project between Maths and Art departments of East Carolina University. Gives their approach to fractals, tessellation, and topology, with some links. http://150.216.112.98/artEd/mathart-web/matharthomepage.htm

Math Art Project 1999 School of Art East Carolina University Greenville, NC Overview East Carolina University School of Art in collaboration with the East Carolina Department of Mathematics started a project in 1996 to investigate the relationship between Geometry and Art. What characteristics are shared? What characteristics are different? These are questions Dr. Cynthia Bickley-Green and Dr. Phil Phillips of ECU School of Art sought to answer. Mathematics and Art teachers from all over eastern NC were asked to participate in the study that involved students from area schools in grades K-12. Both Math and Art teachers taught the lessons after learning the concepts in Saturday classes. The 1999 Math Art Project ended successfully with an Art Opening on May 18, 1999. The 1999 ECU Math Art Project is supported by a grant from the North Carolina Mathematics and Science Education Network Year 9 and East Carolina University with additional contributions from Weyerhaeuser Paper Company and Edgecombe County Schools. The Opening May 18, 1999

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