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Creating Fractals
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Creating Fractals

Creating Fractals

Roger T. Stevens - Collection Graphics series

304 pages, parution le 13/08/2005

Résumé

Everything You'll Need to Create Thousands of Fractals! Fractals are the name given to certain types of iterated equations that produce very strange results and are capable of creating unusual and beautiful patterns. Creating Fractals describes the characteristics and mathematical background of fractals and shows the reader how the accompanying fractal-generating program is used to produce thousands of different kinds of fractals, to enlarge them, to color them, and to save them-without any knowledge of computers or programming. The program works with any computer using Windows. In addition to producing artistic effects, the reader can gain an understanding of how each type of fractal is created and how it might be used to treat natural phenomena, e.g., the turbulence of liquids, the behavior of the stock market, and the compression of graphic images. Mathematical terminology is explained in elementary terms.

Features

  • Includes a fractal-generating program on the CD-ROM that is capable of producing and modifying thousands of fractals
  • Describes the mathematics (in elementary terms) involved in creating different types of fractals
  • The CD-ROM has over 100 example fractal images and includes all of their source code, permitting modification of the program to add new fractals, or change the program to meet specialized requirements

L'auteur - Roger T. Stevens

Stevens is a veteran graphics programmer and author of several books, including Graphics Programming with JAVA, 2E. He holds a Ph.D. in electrical engineering and resides in New Mexico.

Sommaire

  • Introduction
  • What are Fractals?
  • The Lorenz And Other Strange Attractors
  • What You Can Do With L-System Fractals
  • The Snowflake And Other Von Koch Curves
  • Peano Curves
  • Generators With Different Sized Line Segments
  • The Hilbert Curve
  • Fass Curves
  • Trees
  • Creating Your Own L-System Fractals
  • Newton's Method
  • What You Can Do With Mandelbrot-Like And Julia-Like Fractals
  • The Mandelbrot And Julia Sets
  • Working With Colors
  • Fractals With The Logistic Equation
  • Fractals Using Transcendental Functions
  • Fractals Using Orthogonal Polynomials
  • Creating Your Own Second-Order To Seventh-Order Equations
  • Phoenix Curves
  • The Mandela And Pokorny Fractals
  • Fractals Using Circles
  • Barnsley Fractals
  • Iterated Function Systems
  • Midpoint Displacement Fractals
  • About The CD-ROM
  • Index
Voir tout
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Caractéristiques techniques

  PAPIER
Éditeur(s) Charles River Media
Auteur(s) Roger T. Stevens
Collection Graphics series
Parution 13/08/2005
Nb. de pages 304
Format 18,5 x 23,5
Couverture Broché
Poids 811g
Intérieur Noir et Blanc
EAN13 9781584504238
ISBN13 978-1-58450-423-8

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