Agnes Scott College
Larry Riddle, Agnes Scott College
Sierpinski Triangle Sierpinski Carpet Sierpinski Pentagon
Sierpinski Gasket Sierpinski Carpet Sierpinski Pentagon
Heighway Dragon Levy dragon McWorter Pentigree
Heighway Dragon Levy
McWorter Pentigree
pythagorean binaryTree100
Binary Trees
Koch curve Koch snowflake
Koch Snowflake

Larry Riddle
Department of Mathematics
Agnes Scott College

One of the most common ways of generating fractals is as the fixed attractor set of an iterated function system. In these pages we investigate several of the classic iterated functions systems and their associated fractals. Each IFS consists of affine transformations involving rotations, scalings, and translations. For each example we give, where applicable,

If you want to experiment with drawing any of these fractals, or you want to draw your own, see my IFS Construction Kit (for Windows) which you may download and use for free. You can also view a gallery of images constructed with the IFS Construction Kit.

Read a Fractal Poem by Theoni Pappas.

[Note: Many pages use MathJax (which requires Javascript) to display mathematical expressions. There will be a slight delay as fonts are loaded and the expressions are typeset.]