| 1. Using the self-similarity (or self-affinity) of F, decompose F as F = F1 ∪ ... ∪ Fn, where each Fi is a scaled copy of F. |
| Because the transformations can involve rotations, reflections, and scalings by different factors in different directions, decomposition is not always as simple a task as it may seem at first. Here are some examples of more complicated decompositions. |
| An additional problem is that decompositions never are unique. Here are some examples of different decompositions of the same fractal. |
| 2. For each piece Fi, find an affine transformation Ti for which Ti(F) = Fi. By "find an affine transformation" we mean find the r, s, θ, φ, e, and f values. |
Return to the Inverse Problem.