IFS Tools are programs to assist the user in creating (Iterated Function System) fractals. They are designed to be used by both the artisically inclined and the mathematically inclined. Click an icon to get more information, and to use the tools!
After perusing the information pages and taking a test drive or two, you can learn more about iterated function systems through the resources listed below.
Peitgen, Jurgens, Saupe, Chaos and Fractals: New Frontiers of Science, 2nd edition, Springer-Verlag, New York, 2004.
Learn more about IFS Julia in... | Section 13.7 |
Learn more about IFS Linear on... | Page 89, Generalized Koch Constructions |
Learn more about IFS Freestyle in... | Chapters 5 and 6 (MRCM = IFS) |
Learn more about IFS Peano in... | Chapter 7, especially Section 7.5 |
Michael Barnsley, Fractals Everywhere, 2nd edition, Academic Press, Inc., San Diego, 1993.
Learn more about IFS Function in... | Chapter 6 |
Learn more about IFS Julia in... | Chapter 7 |
Learn more about IFS Freestyle in... | The whole book! |
All the fractals in Eric Green's webpages are described in Chaos and Fractals: New Frontiers of Science. Of course, the fern is also described in Barnsley's Fractals Everywhere. And most of the fractals in Larry Riddle's and Cynthia Lanius' webpages are also described in these two books. Better yet, almost all the fractals you see in their webpages can be constructed using either IFS Freestyle or IFS Linear!
Fractal |
Webpages |
Books |
IFS Tools |
Larry Riddle: Sierpinski
Pentagon Eric Green: Snowflake |
Chaos and Fractals:
p. 228 |
IFS Freestyle Get instructions |
|
Eric Green: A Tree | Chaos and Fractals: p. 228 | IFS Freestyle Get instructions |
|
Larry Riddle: Pentadendrite | ? | IFS Linear Get instructions |
|
Larry Riddle: Heighway
Dragon Cynthia Lanius: Jurassic Park Fractal |
? | IFS Linear Get instructions |