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Fibonacci Tree Shawl Knitting Pattern

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I’ve always been fascinated by the Fibonacci sequence. The Fibonacci Sequence is the series of numbers:0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... Each subsequent number is the sum of the two numbers before it.

I wanted to design something using this sequence for a while, and found a picture of a tree based on the sequence.

Each tiny twig starts at the edge with 1 stitch, and then branches combine together in sequence making wider and wider branches – 2 stitches wide, then 3, then 5 and so on. These numbers are often found in nature, in flowers and plants, and I have just always found it amazing how beautiful these sequences can make knitting.

I thought I would combine some math (the sequence) and some biology (plant shapes) into a shawl. Using knits, purls and some simple cables, this triangular shawl is worked from the top downward in a branching design.

More information on how Fibonacci numbers are seen in nature can be found at
You will get the following files:
  • PDF (458KB)
  • PDF (4MB)

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