IFS Tools

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.

IFS Freestyle LogoIFS Julia LogoIFS Linear logoIFS DE logoIFS Function LogoifsPeano

Learn More


Both of these books are available online, and maybe even in your local library. They have been around a long time, and are still fantastic sources on IFS theory and other topics in fractal geometry.

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!


Larry Riddle: http://ecademy.agnesscott.edu/~lriddle/ifs/ifs.html
Cynthia Lanius: http://math.rice.edu/~lanius/frac/
Eric Green: http://pages.cs.wisc.edu/~ergreen/honors_thesis/IFS.html
Alex Bogomolny http://www.cut-the-knot.org/ctk/ifs.shtml

Using IFS Tools to create what you have seen

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!




IFS Tools

snowflake Larry Riddle: Sierpinski Pentagon
Eric Green: Snowflake
Chaos and Fractals: p. 228
IFS Freestyle
Get instructions
tree Eric Green: A Tree Chaos and Fractals: p. 228 IFS Freestyle
Get instructions
Pentadendrite Larry Riddle: Pentadendrite ? IFS Linear
Get instructions
Levy Dragon Larry Riddle: Heighway Dragon
Cynthia Lanius: Jurassic Park Fractal
? IFS Linear
Get instructions

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