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.
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About the Author
Roger Stevens is a veteran graphics programmer and author of several books, including the Computer Graphics Dictionary and Graphics Programming with Java, 2/E. He holds a Ph.D. in electrical engineering and resides in New Mexico.
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17 of 17 people found the following review helpful:
2.0 out of 5 stars
Disappointing book creates but does not teach fractals,
This review is from: Creating Fractals (Graphics Series) (Paperback)
I really expected better from Roger Stevens. In the past he has written some truly excellent books on computer graphics that included working code. This particular book is very elementary with only the bare bones of the mathematics of fractals being given. Most of the book just shows a picture of each type of fractal covered, a screenshot of the included application and what you should type into the application to get the resulting fractal, and some text without equations on each fractal. If you really want to learn the mathematics behind fractals you should read "Chaos and Fractals" by Peitgen, and the older "Science of Fractal Images" by the same author. Both books are accessible yet go into sufficient mathematic detail that you could write working code. The authors even offer up code examples of their own. The second book I mentioned on fractal imaging has some great code samples and mathematics for creating beautiful realistic natural scenes of forests and lakes that are completely computer generated. I notice Amazon does not show the table of contents so I do that here:
1. Introduction 2. What are Fractals? 3. The Lorenz and Other Strange Attractors 4. What you can do with L-System Fractals 5. The Snow Flake and other Von Koch Curves 6. Peano Curve 7. Generators with Different Sized Line Segments 8. The Hilbert Curve 9. FASS Curves 10. Trees 11. Creating your own L-System Fractals 12. Newton's Method 13. What you can do with Mandelbrot-Like and Julia-Like Fractals 14. The Mandelbrot and Julia Sets 15. Working With Colors 16. Fractals with the Logistic Equation 17. Fractals using Transcendental Functions 18. Fractals using Orthogonal Polynomials 19. Creating your own 2nd-order to 7th-order Equations 20. Phoenix Curves 21. The Mandela and Pokorny Fractals 22. Fractals Using Circles 23. Barnsley Fractals 24. Iterated Function Systems 25. Midpoint Displacement Fractals
15 of 18 people found the following review helpful:
2.0 out of 5 stars
Dissaponted,
This review is from: Creating Fractals (Graphics Series) (Paperback)
I got this book to learn how to generate fractals and use the included programm to generate large images for printing. While the programm is very flexible in terms of what it generates, maximum resolution is something like 600x400. There are better books that bescribe what fractals are. This book will not help you to set up calculations on you own and it's fractal generation programm is useless for anything other that on screen display.
19 of 24 people found the following review helpful:
5.0 out of 5 stars
Introducing the Mathematics of Fractals,
By
This review is from: Creating Fractals (Graphics Series) (Paperback)
Fractals were originally considered to be a rather messy offshoot of conventional mathematics. They required entirely too much arithmetic to be useful before the age of computers. But with computers the whole concept of fractals became something that could indeed be studied.
A bit of time goes by and all of a sudden the people doing fractals begin to discover that using the right kind of mathematics can be used to produce a lot of images that begin to look like things in nature. These drawings began to look like things such as trees, mountains, clouds, explosions. And all of a sudden there was an interest beyond those of the mathematician just drawing cute geometric patterns, it's called game development. This book is not on gaming, it's on the basics of fracticals. It includes software to generate fractals, and it gives the mathematics of how these fractals are created. It's a basic, beginners book to computer graphics at the mathematical level.
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