As this is the first Weekly Challenge I thought it would be fun do to a Pythagoras Tree.
The construction of the tree begins with a square. Upon this square are another two squares constructed. Each of these squares scaled down by a linear factor of ½√2, such that the corners of the squares coincide pairwise. This is applied recursively to the two smaller squares. This image shows the first three iterations.
The most amazing implementations will be posted next Friday along with the next challenge so make sure you finish by then. Submissions can be sent to this email