Fractals

Koch's Snowflake

  1. draw an equilateral triangle
  2. divide each side into three equal parts
  3. remove the middle segment (= 1/3 of the original line segment) replace the middle segment with two segments of the same length (= 1/3 the original line segment) such that they all connect (i.e. 3 connecting segments of length 1/3 become 4 connecting segments of length 1/3.)
  4. To complete the shape, the above procedure is repeated indefinitely on each line segment on the side of a triangle.
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http://ecademy.agnesscott.edu/~lriddle/ifs/ksnow/ksnow.htm