
 Chaos and Fractals in Financial Markets, Part 3, by J. Orlin Grabbe (Site not responding. Last check: 20071106) 
  To be consistent, then, we must say with respect to the Sierpinski carpet, which is made up of an infinite number of disconnected loops, each of one dimension, that it has a topological dimension of one. 
  But, once we measure all the holes in the carpet, we discovered that what we are left with is carpet that has been entirely consumed by holes. 
  If instead we have a Sierpinski carpet that is 9 on each side, then to calculate the "area", we note that the number of Sierpinski copies of the initial square which has a side of length 1 is (dividing each side into r = 9 parts) N = r 
 www.orlingrabbe.com /Chaos3.htm (4169 words) 
