References

These are the books we used for research on fractals while creating this site. We hope you'll find them useful in your own exploration of the world of fractals. Book titles link to Amazon.com

Fractal Plant


HIGHLY RECOMMENDED

Fractals : Endlessly Repeated Geometrical Figures
Hans Lauwerier, Sophia Gill-Hoffstadt (Translator)
Published 1991
THE best book about fractals if you are trying to learn. Written in relatively simple language, it very well explains most of the topics related to fractals and includes a lot of diagrams and BASIC programs. It was the first fractal book for all three of us, and it is the only book we would suggest to anyone who is a beginner.

Does God Play Dice? : The Mathematics of Chaos
Ian Stewart
Published 1990
This is the only fairly understandable book ever written about chaos. It touches a wide range of topics and gives a lot of interesting examples. We highly recommend it to all readers, regardeless of the level of knowledge.


CLASSICS

Fractal Geometry of Nature
Benoit B. Mandelbrot
Published 1988
Fractals without this book is like literature without an alphabet. Written by the founder of fractals himself, this book covers a tremendous range of topics and interesting applications. Although it is not very easy to read, you will find a lot of nice pictures and interesting topics even if you don't go deeply into them.

Fractals Everywhere
Michael F. Barnsley
Published 1993
This is another classic, written by the founder of IFS fractals. The entire book is mainly an in-depth analysis of this topic. Although relatively hard to read, the text is accompanied by a very large number of easily understandable diagrams.

The Algorithmic Beauty of Plants
Przemyslaw Prusinkiewicz, A. Lindenmayer
Published 1996
Written by the founders of l-systems, this books is great for that topic.It mostly focuses on using l-systems to model plants and contains a lot of beautiful pictures. It is not very hard to read, especially because the topic is very visual.


OTHER BOOKS

Fractal Cosmos : The Art of Mathematical Design
Jeff Berkowitz
Published 1998
You will not find a lot of explanations in this book, but it is great if you want to see the great variety and beauty of fractals, especially formula generated ones. Every fractal in the book is followed by a formula and parameters, letting you experiment on your own.

Fractal Geometry in Biological Systems : An Analytical Approach
Philip M. Iannaccone(Editor), Mustafa Khokha (Editor)
Published 1996
Although extremely hard to read, this book is an excellent collection of the most exotic applications of fractals. The topics touched come from practically all areas of biology, from DNA structure to the heart rhythm.

Fractals and Chaos in Geology and Geophysics
Donald L. Turcotte
Published 1997
A very hard to read collection of fractal applications in various areas of earth science. Some topics included are earthquakes, mineral distribution, and landscapes.

Strange Attractors : Creating Patterns in Chaos/Book and Disk
Julien C. Sprott
Published 1993
WWW version: http://sprott.physics.wisc.edu/fractals/booktext/sabook.htm
An great book if you want to learn about strange attractors. You will not find a lot of applications here, but the text is fairly easy to read and is accompanied by nice diagrams. A large portion of the book is devoted to creating strange attractors with a computer.

Trading Chaos : Applying Expert Techniques to Maximize Your Profits (Wiley
Finance Editions)

Bill Williams
Published 1995
This book is entirely devoted the economical applications of fractals and chaos. Although not very hard to read in general, this book requires some knowledge of both fractals and economy.