F1. SNOWFLAKE CURVE

The snowflake curve or Koch curve was long thought to be a pathological anomoly. It is easily constructed from an equilateral triangle, as the following diagram shows.

This fractal curve has the interesting property that it bounds a finite area but has infinite length. (In fact it is not hard to determine the area, and to find a formula for the length of the bounday at each iteration.) It turns out that there are a number of ‘real world’ situations where this strange behaviour occurs.


http://commons.wikimedia.org/
  wiki/File:Koch_snowflake_(RGB-CMY).jpg


http://en.wikipedia.org/wiki/
  Koch_snowflake