Fern IFS

As practice for the fern, consider the fractal on the left.

The most obvious decomposition (on the right) involves a large number of copies of the fractal.

In the limit, infinitely many transformations are required with this decomposition.

However, there is another approach: the fractal can be divided into four small copies (the four bottom pieces, each shrunk by 1/4), and what remains is another copy, shrunk by 3/4.

The five transformations are straightforward.

Return to Fern example.