
 Arlo Caine's Web Page / Mathematics / Limits with ... (Site not responding. Last check: 20071022) 
  Even in the bleak lanscape of a frozen tundra, patterns can be found at all scales, whether in the gentle curve of a wind swept serac or in the intricate crystalline structure of a snowflake. 
  In fact, this sequence of drawings does have a limit, in a technical sense, and that limit is called "von Koch's Curve." What's interesting, is that if you arrange 3 copies of the curve along the edges of an equilateral triangle, you get the figure at left. 
  The limit of this sequence is called Sierpinski's Gasket, named for Waclaw Sierpinski (18821969), a polish mathematician who made great contributions to the foundations of mathematics. 
 math.arizona.edu /~caine/chaos.html (1180 words) 
