1.F. The Inverse Problem

Given a fractal F, the Inverse problem is to find affine transformations T₁, ..., T_n for which

F = T₁(F) U ... U T_n(F)

Here we present a method to solve this problem, as well as two implementations of the method.

Solving the inverse problem takes just two steps.
Two implementations of Step 2, one low-tech, one high-tech.
Examples and practice problems
When the pieces are not scaled by such obvious amounts, we can find scalings and rotations by measuring distances and angles.
Examples of finding IFS rules for natural fractals. Some are simple, others require some new tricks.
The relations between the parts of an IFS image can be effectively revealed through some animations.

	Solving the inverse problem takes just two steps.
	Two implementations of Step 2, one low-tech, one high-tech.
	Examples and practice problems
	When the pieces are not scaled by such obvious amounts, we can find scalings and rotations by measuring distances and angles.
	Examples of finding IFS rules for natural fractals. Some are simple, others require some new tricks.
	The relations between the parts of an IFS image can be effectively revealed through some animations.