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Iterated Function Systems are a method of constructing fractals.

  • It involves repeating a collection of transformations and the resulting constructions are always self-similar.
  • Check out these activities from Yale University to practice writing iterated functions to generate fractal patterns.
  • You will be using this method to generate your own fractals in Part 1 of the Fractal Toolkit.  You will need to understand concepts of scale, rotation and transformation in order to get started so please be sure to read the information & examples on the Yale website carefully!

This fractal toolkit is a project for Paulo Blikstein's Beyond Bits and Atoms: Designing Tools for On and Off-Line Learning class at Stanford University.  It was designed and built in the Transformative Learning Technologies Lab. 

A collection of resources for helping kids learn about fractals.  These resources have been curated specifically for middle and high school students.

A set of tutorials and activities for kids to explore the underlying mathematical concepts of fractals including iterated function systems, recursion, and self-similarity.

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