Generating fractals by iterating a collection of transformations is the Iterated Function System (IFS) method, popularized by Barnsley, based on theoretical work by Hutchinson and Dekking. We use a simple example to see how it works.
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To illustrate the IFS method, we show how a specific set of IFS rules generates a Sierpinski gasket. |
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The gasket rules leave the gasket unchanged. The gasket is the only shape (of finite extent) left unchanged by these rules. |
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Now we consider the general setting for IFS. |