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Fractals:     more books (100)

The Fractal Geometry of Nature by Benoit B. Mandelbrot, 1983 Fractal Time: The Secret of 2012 and a New World Age by Gregg Braden, 2010-02-01 The Misbehavior of Markets: A Fractal View of Financial Turbulence by Benoit Mandelbrot, Richard L. Hudson, 2006-03-07 Fractal Geometry: Mathematical Foundations and Applications by Kenneth Falconer, 2003-11-14 Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise by Manfred Schroeder, 2009-08-21 The Science of Fractal Images Fractals: The Patterns of Chaos: Discovering a New Aesthetic of Art, Science, and Nature (A Touchstone Book) by John Briggs, 1992-11-01 Introducing Fractals: A Graphic Guide by Nigel Lesmoir-Gordon, 2005-10-15 Fractals, Googols, and Other Mathematical Tales by Theoni Pappas, 1993-02-16 African Fractals: Modern Computing and Indigenous Design by Ron Eglash, 1999-03-01 Fractals Everywhere by Michael F. Barnsley, 2000-04-18 Chaos and Fractals: New Frontiers of Science by Heinz-Otto Peitgen, Hartmut Jürgens, et all 2004-02-03 Gaussian Self-Affinity and Fractals by Benoit Mandelbrot, 2001-12-14 The Beauty of Fractals: Images of Complex Dynamical Systems by Heinz-Otto Peitgen, 1986-08

lists with details

1. Sprott's Fractal Gallery
   Daily updated gallery of automatically created fractals. Fractal generating software.  
   http://sprott.physics.wisc.edu/fractals.htm
   
   Extractions: MIDI Fractal background music courtesy of Forrest Fang Every day at a few minutes past midnight (local Wisconsin time), a new fractal is automatically posted using a variation of the program included with the book Strange Attractors: Creating Patterns in Chaos by Julien C. Sprott . The figure above is today's fractal. Click on it or on any of the cases below to see them at higher (640 x 480) resolution with a code that identifies them according to a scheme described in the book. Older Fractals of the Day are saved in an archive . If your browser supports Java, you might enjoy the applet that creates a new fractal image every five seconds or so. If you would like to place the Fractal of the Day on your Web page, you may do so provided you mention that it is from Sprott's Fractal Gallery and provide a link back to this page. If you want to make your own fractals, I recommend the Chaoscope freeware.

2. The Fractals On Myspace Music - Free Streaming MP3s, Pictures & Music Downloads
   Myspace Music profile for The fractals. Download The fractals Rock / Rockabilly / Surf music singles, watch music videos, listen to free streaming mp3s, read The fractals's blog.  
   http://www.myspace.com/losfractals

3. The Beauty Of Fractal Magic Transformation
   Four galleries of fractals, black and white art by Isidoros Printezis.  
   http://afterzed.com/fractals/index.html

4. Cynthia Lanius' Lessons: A Fractals Lesson - Introduction
   Mathematics lessons for elementary school, middle school fractals, fractals, fractals  
   http://math.rice.edu/~lanius/frac/
   
   Extractions: This Site has received They're everywhere, those bright, weird, beautiful shapes called fractals. But what are they, really? Fractals are geometric figures, just like rectangles, circles and squares, but fractals have special properties that those figures do not have. There's lots of information on the Web about fractals, but most of it is either just pretty pictures or very high-level mathematics. So this fractals site is for kids, to help them understand what the weird pictures are all about - that it's math - and that it's fun! Teachers: Every lesson has a print version for classroom use.

5. Fractal Geometry - Crystalinks
   Fractal Geometry A Fractal is generally a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reducedsize copy of  
   http://www.crystalinks.com/fractals.html
   
   Extractions: A Fractal is generally "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole," a property called self-similarity. The term was coined by Benoit Mandelbrot in 1975 and was derived from the Latin fractious meaning "broken" or "fractured." A mathematical fractal is based on an equation that undergoes iteration, a form of feedback based on recursion. A fractal often has the following features: Because they appear similar at all levels of magnification, fractals are often considered to be infinitely complex (in informal terms). Natural objects that approximate fractals to a degree include clouds, mountain ranges, lightning bolts, coastlines, and snow flakes. However, not all self-similar objects are fractals - for example, the real line (a straight Euclidean line) is formally self-similar but fails to have other fractal characteristics; for instance, it is regular enough to be described in Euclidean terms.

6. Fractal Zoom Animations By Eric Bigas
   Collection of short fractal animations in MPG format.  
   http://www.ericbigas.com/fractals/

7. FractalNet Home Page
   The Fractal Images Company 268 Arlington Road Kensington, CA 94707 . Voice 510528-0258 Fax 510-528-0243 e-mail marketing@fractals.com  
   http://fractals.com/
   
   Extractions: Click here to start. ChiaraMail Version 2.0 is now available for download. Check out the coolest and most effective spam filter on the planet, at http://www.chiaramail.com Version 3.0 of WebReader(tm) includes a number of significant new features and benefits; for an overview of functional enhancements in Version 3.0, check out new features and enhancements . Beginning December 7, 1999, you can download WebReader 3.0 at no cost. Before downloading WebReader, make sure you meet the minimal system requirements Linda Sy Skin Care , offering high-quality skin care products developed by a practising dermatologist. Treat yourself or your spouse to the gift of beautiful, healthy skin with our line of products previously available only from dermatologists. The Fractal Images Company

8. Concepts: Fractals
   fractals are entities that look the same under magnification, they are selfsimilar. More specifically, a geometric fractal is formed of parts, which, when magnified, are the  
   http://necsi.org/guide/concepts/fractals.html
   
   Extractions: Concepts in Complex Systems Yaneer Bar-Yam Fractals Fractals are entities that look the same under magnification, they are "self-similar." More specifically, a geometric fractal is formed of parts, which, when magnified, are the same as the original shape. Fractals can also involve randomness, so that the similarity of parts to the whole can be of a statistical or average property. An example of a geometric fractal is the Koch curve (an approximate version is shown below) which can be made using a simple algorithm: Take away the middle third of a line segment and insert two segments that are the same length as the one that was removed. Place them so they would make an equilateral triangle with the removed segment. Repeat this procedure with each of the line segments that now make up the curve. Fractals get their name because they can be seen to have fractional dimension. Length, area and volume measure the size of one, two and three dimensional shapes respectively. However, a Koch curve can be shown to be infinite in length and to cover no area. It has a dimension between one and two (strictly its dimension is d=ln(4)/ln(3)~1.2619). This means that if we use a ruler to measure the length of the curve, the length we find depends on how long the ruler is. The shorter the ruler, the longer is the length we measure. This is because a longer ruler cannot "get inside" smaller bumps. An example of a fractal-like shape found in nature is a coastline. How long is the coastline? Just as with the Koch curve, the length of the coastline depends on how long the ruler is used to measure it because there are inlets and peninsulas of many different sizes. A picture of the coastline of Cape Cod is shown below.

9. Fractals_by_Nous
   Several galleries generated using Ultra Fractal, Tierazon, Grafzvizion, and Fractint.  
   http://www.sightsea.com/nous/fractals/

10. Fractals
    fractals 1 I am doing fractals next because that is how we usually see nonlinear systems. Fractal is a name coined by a fellow by the name of Mandelbrot in the 1960's.  
    http://www.paulbunyan.net/users/gsirvio/nonlinear/fractals.html
    
    Extractions: I am doing fractals next because that is how we usually see non-linear systems. Fractal is a name coined by a fellow by the name of Mandelbrot in the 1960's. Fractals are the branch of geometry dealing with 'broken curves'. Remember that non-linear problems have graphs that have strange and unusual lines or ... 'broken curves'. There are two approaches to fractals: the natural lines (Has anyone ever seen a truly straight line or perfect curve in any natural object?) and the theoretical mathematical constructions. I will start with the lines occurring in nature since everyone here should be familiar with them and finally work our way into the mathematical curves. An object in nature repeats itself. Consider a mountain. A peak on the shoulder of the mountain looks very much the same as the mountain. In fact a rock can be mistaken for a mountain if there is nothing next to it to show its size. A branch of a tree is a miniature of the tree. Some leaves are miniatures of branches. Each tributary of a river is a repetition of the whole river at a smaller scale. This repetition of structure with a change of scale is a characteristic of fractals. If you seem to have any trouble understanding this idea of repetition of structure across scale, rent an old Godzilla movie from the video store. The effect is crude, but the repetition of structure between a branch and a tree, or hill and a mountain can easily be seen. You can also see another feature of natural curves. Although the imaging of structure across scale is very close to being a direct duplication it isn't exact. Waves in a bathtub are not quite the waves in an ocean, although they are very close.

11. Fractal Geometry
    I find the ideas in the fractals, both as a body of knowledge and as a metaphor, an incredibly important way of looking at the world. Vice President and Nobel Laureate Al  
    http://classes.yale.edu/fractals/

12. NOVA | Hunting The Hidden Dimension | PBS
    The Most Famous Fractal What exactly is the Mandelbrot set? Find out in this excerpt from the book fractals The Patterns of Chaos.  
    http://www.pbs.org/wgbh/nova/fractals/

13. A@a__frActAl__a@a
    Numerous fractal images, various categories. Screensavers.  
    http://fractales.free.fr/

14. Fractal -- From Wolfram MathWorld
    Weisstein, E. W. Books about fractals. http//www.ericweisstein.com/encyclopedias/books/fractals.html. Yamaguti, M.; Hata, M.; and Kigami, J. Mathematics of fractals.  
    http://mathworld.wolfram.com/Fractal.html
    
    Extractions: Fractal A fractal is an object or quantity that 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 Barnsley's fern , and Mandelbrot set SEE ALSO: Attractor Backtracking Barnsley's Fern Box Fractal ... 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

15. Fractals - Fractal Recursions
    Jock Cooper's gallery of still images and animations.  
    http://www.fractal-recursions.com/
    
    Extractions: Book Blurb Welcome to the ever-evolving exhibition of Jock Cooper's Fractal Art. A noteworthy recent addition to the site is the Zoomable Fractal Gallery; an interactive playground that allows one to zoom through six levels in each quadrant of a given fractal image. As always, the newer images are in the highest gallery numbers, and new images are added several every month or so. 1029 images 281 images 246 images 168 images 30 animations 6 Zoomable Fractal images

16. Cool Math - Fractals - Fractal Art, Lessons And Generators
    Coolmath's Fractal Gallery Very cool art that's made from math!  
    http://www.coolmath.com/fractals/gallery.htm
    
    Extractions: Very cool art that's made from math! Sorry, your browser doesn't support Java. Your browser does not support the IFRAME tag. Your browser does not support the IFRAME tag. Your browser does not support the IFRAME tag. Back in the 1960's, a French mathematician named Benoit Mandelbrot started thinking about simple pretty simple: How long is the coast of Britain? Sure, it seems easy enough... But, think about how you'd really measure it... Would you fly over the coast in an airplane and measure how far you flew? Or would you take a ruler (or meter stick) and get down on your hands and knees and crawl around the edge? It would be different! In 1975, he made up the word "fractal" because he thought these figures would look fractured or broken up. It wasn't until he had a computer that he could SEE a picture of what he'd been thinking about! To learn about what a fractal is

17. Linda Bucklin S Fractals
    Galleries of Ultra Fractal, Frax Flames, and collage.  
    http://www.lindabucklin.com/fractals/
    
    Extractions: NEW! Gallery One Gallery Four Frax Flame Gallery Click on a picture to enter a gallery Three NEW Galleries added 6/24/04 NEW! GalleryTwo Gallery Five Frax Flame 2 NEW! Gallery Three Apophysis One Fractal Collage Visit ‘Linda’s Universe’ - My Main Page, with links to all of my sites, including ‘Cats! Cats! Cats! and ‘Linda’s World’. Visit Linda’s World to see my paintings, drawings and digital images. There are also two galleries that exhibit mental illness - related art. My photos, paintings, drawings and digital images of cats. Visit my Renderosity Gallery to see a wide selection of my artwork. Lots of links to some gorgeous fractal galleries! Contact Linda Bucklin Linda's Fractals Gallery One Frax Flame1 ... Frax Flame 2

18. Fractals | Define Fractals At Dictionary.com
    –noun Mathematics, Physics . a geometrical or physical structure having an irregular or fragmented shape at all scales of measurement between a greatest and smallest scale  
    http://dictionary.reference.com/browse/fractals

19. Fractals For IPhone, IPod Touch, And IPad On The ITunes App Store
    Learn more, read reviews, and download fractals by Pomegranate Software on the iTunes App Store.  
    http://itunes.apple.com/us/app/fractals/id300542371?mt=8

20. Fractals
    The primary focus of the Community Learning Network (CLN) is to help K12 teachers integrate Information Technology into their classrooms. This CLN menu page provides links to  
    http://cln.org/themes/fractals.html

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