...s a set of points which is self-similar at arbitrarily small scales. The classic example is the Cantor set. Consider the following infinite series of sets. The first set in the series is the interval =-=[0, 1]-=-. The next is the result of removing the middle third of this interval, namely, the set [0, 1/3] [ [2/3, 1]. The next is the result of removing the middle thirds of each of the contiguous intervals in...