page_title: Fibonacci word fractal
section_title: Definition
hierarchical_section_title: Fibonacci word fractal / Definition
caption_attribution_description: English: L-system representation of a Fibonacci curve (Fibonacci word fractal).
context_page_description: The Fibonacci word fractal is a fractal curve defined on the plane from the Fibonacci word.
context_section_description: This curve is built iteratively by applying, to the Fibonacci word  0100101001001...etc., the Odd–Even Drawing rule:
  For each digit at position k :
  Draw a segment forward
  If the digit is 0:
  Turn 90° to the left if k is even
  Turn 90° to the right if k is odd
  To a Fibonacci word of length  (the nᵗʰ Fibonacci number) is associated a curve  made of  segments. The curve displays three different aspects whether n is in the form 3k, 3k + 1, or 3k + 2.
caption: L-system representation[1]
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