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Fractals: more books (100)

Fractals in the Fundamental and Applied Sciences by Heinz-Otto Peitgen, Jose Marques Henriques, 1991-10-01
Fractals: Non-Integral Dimensions and Applications by G. Cherbit, 1991-01-17
Fractals in Engineering: From Theory to Industrial Applications
Applying Fractals in Astronomy (Lecture Notes in Physics Monographs)
Fractal Frontiers
A Random Walk Through Fractal Dimensions by Brian H. Kaye, 1994-05-10
Fractal Geometry and Computer Graphics (Beiträge zur Graphischen Datenverarbeitung)
Fractals in Science
Fractal Geometry: Mathematical Methods, Algorithms, Application (Horwood Mathematics and Applications) by A.K. Evans, Martin J Turner, 2004-02-01
Wavelets, Fractals, and Fourier Transforms (Institute of Mathematics and Its Applications Conference Series New Series)
Fractals and Chaos
Fractals: A User's Guide for the Natural Sciences (Oxford Science Publications) by Harold M. Hastings, George Sugihara, 1994-01-27
Fractals for the Classroom: Part 1: Introduction to Fractals and Chaos by Heinz-Otto Peitgen, Hartmut Jürgens, et all 1991-10-22
Fractal Geometry in Architecture & Design by Carl Bovill, 1996-03-28

lists with details

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
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/
Fractal - Wikipedia, The Free Encyclopedia
Free encyclopedia article covering historical aspects and mathematical formulations. Includes two and three dimensional illustration sets.
http://en.wikipedia.org/wiki/Fractal

Extractions: Jump to: navigation search The Mandelbrot set is a famous example of a fractal A closer view of the Mandelbrot set. A fractal is generally "a rough or fragmented geometric shape that can be subdivided 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 Beno®t Mandelbrot in 1975 and was derived from the Latin fractus meaning "broken" or "fractured." 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 fractalsâfor example, the real line (a straight Euclidean line) is formally self-similar but fails to have other fractal characteristics.
Fractal -- From Wolfram MathWorld
A fractal is an object or quantity that displays selfsimilarity, in a somewhat technical sense, on all scales. The object need not exhibit exactly the same
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
Suzanne Alejandre - Fractal Links
Basic fractal information for the math teacher or interested user, with Internet resources to expand your fractal knowledge.
http://mathforum.org/alejandre/workshops/fractal/fractal3.html

Extractions: "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." The Fractal FAQ was created and edited by Ken Shirriff through September 26, 1994. The current editor is Ermel Stepp. "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.
Infinite Fractal Loop
Many sites, graphical and text listings, statistics, news.
http://www.fractalus.com/ifl/
Ultra Fractal: Advanced Fractal Animation Software
Ultra Fractal is the best tool for creating fractal art. It creates smooth, truecolor fractal images with a wealth of fractal formulas and coloring
http://www.ultrafractal.com/
A Fractal Art Gallery By Ken Keller
Exploring the bounderies between Creation and Discovery. A growing gallery of original fractal images. Come explore the infinite Fractal Universe.
http://home.inreach.com/mapper/
Fractal Software Programs & Links On Paul N. Lee's Website
Fractal related software and program application links on Paul N. Lee s website.
http://home.att.net/~Paul.N.Lee/Fractal_Software.html

Extractions: If you can't find what you are looking for in the below table of software programs, applications, tutorials and more, then additional fractal related information may be found in this 1,300+ line text file . Also, further information may also be found within the world renowned Fractal Census , where over 4,200 individuals are listed (plus statistics on software use and number of users per country). Even the first portion of the table below (which previously was in alphabetical order) is now listed in the order by programs having been acquired, tried, and/or used the most, so as to match the statistics from the Fractal Census list of applications. Win9x/ME/NT/2K/XP The best known FREEWARE fractal generator created for IBM PC's and compatible computers. It is the most versatile and extensive fractal program available for any price. This is the fractal program most used by schools, colleges, and universities. Also, other ports of the program may be found for MAC, UNIX/Linux Windows , etc. It is one of the oldest free software programs still being maintained (according to many sources, such as
Sekinos Fractal Gallery
Art from math professor Junpei Sekino, blended with discussion of formula types and colouring methods.
http://www.willamette.edu/~sekino/fractal/

Extractions: Speaking loosely without technical terms such as the Hausdorff-Besicovitch dimension and topological dimension of a set of points, a fractal , which was coined by Benoit Mandelbrot in 1975, is a geometric shape that is self-similar , i.e., a large part of it contains a great many smaller parts that resemble the large part in some way see Figure 1 below. Nature is filled with fractals as seen in such objects as mountains, shorelines, trees (branches, barks and roots), ferns, fluid flow patterns, cloud formations (with or without lightning), blood vessels and mycelium strands. Mathematicians conceived the notion of fractal more than a hundred years ago and have since developed deep and extensive theories to formulate a field now referred to as fractal geometry . A novel and intriguing computer-generated fractal image plotted by Mandelbrot in 1979 and later called the Mandelbrot set stimulated and accelerated the development. It is now known that fractal geometry not only provides mathematical insights into natural objects and phenomena that are beyond the reach of Euclidean geometry, but also has numerous applications in and significant influence over surprisingly many areas in sciences, mathematics and art.
Illuminations Fractal Tool
You can make changes to these shapes to create your own fractal. After you have made changes, use the Forward, Back, and Play buttons to watch the
http://illuminations.nctm.org/ActivityDetail.aspx?ID=17
K-12
This page has moved. The contents of the Mathematics page have been moved to http//www.ceismc.gatech.edu/busyt/math.shtml.
http://www.ceismc.gatech.edu/BusyT/math.html

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