Curlicue Fractal

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Choose an irrational number and a horizontal unit segment with angle . Define , with . To the previous segment, add a new unit segment with angle . The resulting series of line segments is the curlicue fractal. The "temperature" of these fractals measures the boundedness of these curves.

Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA


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