Sierpinski Triangle / Koch Snowflake ~ Crochet Fractals by Cindy Z.

Sierpinski Triangle / Koch Snowflake ~ Crochet Fractals by Cindy Z.

via Wikipedia: The Koch snowflake can be constructed by starting with an equilateral triangle, then recursively altering each line segment as follows:

  1. divide the line segment into three segments of equal length.
  2. draw an equilateral triangle that has the middle segment from step 1 as its base and points outward.
  3. remove the line segment that is the base of the triangle from step 2.

After one iteration of this process, the resulting shape is the outline of a hexagram.

The Koch snowflake is the limit approached as the above steps are followed over and over again. The Koch curve originally described by Koch is constructed with only one of the three sides of the original triangle. In other words, three Koch curves make a Koch snowflake.

Made by Cindy Z. Hat tip to devaburger.





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Danielle

Danielle Holke is a long-time knitter, first taught by her beloved grandmother as a young girl growing up in Canada. In 2008 she launched KnitHacker, a lively blog and knitting community which has since grown to be a popular presence in contemporary knitting culture, reaching more than a million readers each year. As a marketing professional, Danielle advises and works with a motley squad of artists, yarn bombers, film makers, pattern designers, yarn companies and more. Learn more about her latest book, Knits & Pieces: A Knitting Miscellany.

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