Tree IFS

First, it is easy to see the four main branches of the tree are scaled copies of the whole tree.

The pieces have been pulled apart slightly to emphasize the decomposition.

The trunk is more complicated.

Simply shrinking the tree a lot horizontally works for the top of the trunk, but makes the bottom of the trunk too thin.

Two shrunken copies of the tree are needed to make the trunk.

Here are the IFS rules, color coded to match each transformation to the corresponding piece of the tree.

Here is the picture generated by the tree rules, leaving out the second part of the trunk.

Do you see why the whole tree looks so raggedy?

Return to Natural Fractal Inverse Problems.