Fractal Attraction(TM) (eBook)

a Fractal Design System for the Macintosh(R)

Yosef Cohen, Kevin D. Lee (Autoren)

eBook Download: PDF

2014 | 1. Auflage
76 Seiten
Elsevier Science (Verlag)
978-1-4832-6726-5 (ISBN)

Infos

Fractal Attraction?: A Fractal Design System for the Macintosh® provides information pertinent to fractal attraction, a Macintosh application. This book introduces the Iterated Function Systems (IFS). Organized into eight chapters, this book begins with an overview of the standard and enhanced versions of fractal attraction. This text then explains the ideas and basic principles behind generating fractals based on sets of equations. Other chapters explain an alternative algorithm, the random algorithm, and how to use it. This book discusses as well the Design window wherein the user can translate, rotate, shear, and re-size transformations all by pointing, clicking and dragging. The final chapter deals with an overview of the windows and the menu items are explained in detail. This book is a valuable resource for readers who are interested in using fractal attraction application.

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Fractal Attraction(TM): A Fractal Design System for the Macintosh(R) provides information pertinent to fractal attraction, a Macintosh application. This book introduces the Iterated Function Systems (IFS). Organized into eight chapters, this book begins with an overview of the standard and enhanced versions of fractal attraction. This text then explains the ideas and basic principles behind generating fractals based on sets of equations. Other chapters explain an alternative algorithm, the random algorithm, and how to use it. This book discusses as well the Design window wherein the user can translate, rotate, shear, and re-size transformations all by pointing, clicking and dragging. The final chapter deals with an overview of the windows and the menu items are explained in detail. This book is a valuable resource for readers who are interested in using fractal attraction application.

Inhalt

Front Cover 1
Fractal Attraction™: A Fractal Design System for 
4 
Copyright Page 5
Table of Contents 6
LIMITED WARRANTY AND DISCLAIMER OF LIABILITY 8
Chapter 1. What is Fractal Attraction? 10
1.1. Hardware and System Software Required 10
1.2. Installing Fractal Attraction 10
1.3. A Quick Tour 11
Chapter 2. Mathematical Background 16
2.1. Affine Transformations 16
2.2. Iterated Function Systems (IFS) 22
2.3. How to Design an Attractor 26
Chapter 3. The Random Algorithm 36
Chapter 4. Using the Design Window 40
Selecting and Moving 40
Sierpinski Triangle 42
Re-sizing 42
Rotating 43
Shearing 44
Reflections (Flips) 45
Initial Polygon 46
Chapter 5. Applying the Collage Theorem 48
Chapter 6. Color Rendering Example (Color Mac Only ) 56
Chapter 7. The Fractal Attraction Application 60
7.1. The Windows 60
7.2. The Menus 62
Chapter 8. Literature Cited 70
Appendix A: IFS Examples 72
Appendix B: Rotation, Scale, & Translation Form
Appendix C: Changing Fractal Window Size 76

Produkt-Details

• Erscheint lt. Verlag: 12.5.2014
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Technik
• ISBN-10: 1-4832-6726-1 / 1483267261
• ISBN-13: 978-1-4832-6726-5 / 9781483267265