IFS: Rotation, Translation, and Scaling

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An iterated function system (IFS) consists of a set of multivariate maps from which a random choice is made at each iteration. If each function of a IFS satisfies certain conditions, the dynamics will converge on a fractal set. This Demonstration allows the user to explore a family of simple two-map 2D iterated function systems, where each map consists of a combined rotation, translation, and enlargement (with scale factor less than 1).
Contributed by: Phil Ramsden (March 2011)
Open content licensed under CC BY-NC-SA
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"IFS: Rotation, Translation, and Scaling"
http://demonstrations.wolfram.com/IFSRotationTranslationAndScaling/
Wolfram Demonstrations Project
Published: March 7 2011