Measuring IFS Pieces

Splittig the fractal into three pieces is not difficult.

Often it is convenient to specify a point as the origin of the coordinate system.

The lower left corner can be a good choice, but in general, use any symmetry available, unless there is a compelling reason to do differently.

First, find the scalings and any reflections, that is, the r and s values.

Second, Find the rotations.

Third, find the translations.

Here's the IFS table that generated this fractal.

What's wrong with the e and f values?

To answer this question, how does the gasket picture change if you multiply all the e and f values by the same number?

Finally, here is another way to find the parameters, by measuring the positions of the images of three points.

Return to the Inverse Problem.