Crocheted Fibonacci Scarf

Ah, summertime. The best time to be talking about scarves and math.

Through a series of Google searches a year ago, I found the scarf of my dreams designed by Diana Eng– a knitted Fibonacci Scarf.  I immediately fell in love. However, there was a slight problem. Three actually. 1) I didn’t care enough about fashion to buy a scarf 2) online, for 3) $275 that I don’t have.

The idea of a scarf that combined math and fashion with yarn was just too appealing though. Even if I couldn’t pay the near $300 price tag, with a little creativity, I figured I could crochet something similar

Presenting… my take on the Fibonacci Scarf!


Explaining how the Fibonacci sequence is used in the scarf. Reference: On a sweater, each "v"is the same thing as a stitch.

Explaining how the Fibonacci sequence is used in the scarf. (Crash course: the Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, etc. , where each term is the sum of the previous two terms)

Compared with Diana Eng’s scarf, this one is a lot smaller and not as detailed, (her scarf takes hundreds of hours to make by hand), but I like the lacey look. Also, I stopped at 8 in the Fibonacci sequence instead of 21, since I felt like the loops were getting too big. Nevertheless, it’s still a Fibonacci scarf that I’m proud of.

Due to the scarf’s hyperbolic nature, it tends to spiral around the short side when held by an end or when worn. Not something I foresaw when I was crocheting, but still pretty cool IMHO.

Anyways, here’s a few more pictures so you can marvel in the mathematical and visual aesthetics of this yarn creation.
















In all seriousness though, I’m probably never going to wear this scarf, due to my lack of fashion sense and the un-coldness of Houston weather.  I might hang it in my room as a decoration, or sell it if anyone is willing to buy it (for significantly less than $275) What do you think?

11 thoughts on “Crocheted Fibonacci Scarf

      • I didn’t really use a formal pattern when making this, but this is basically what I did:

        Ch 100 (probably more, since I felt like the scarf was a bit short)
        Row 1: sc across
        Row 2: ch1, sc, repeat
        Row 3: ch1, sc IN LOOP (pick up the entire loop, not just the strand of yarn in the stitch), repeat, turn
        Row 4: ch 2, sc in loop, repeat, turn
        Row 5: ch 3, sc in loop, repeat, turn

        Just keep repeating this pattern with the Fibonacci numbers (1, 1, 2, 3, 5, 8, 13, etc.) until you feel like the scarf is wide enough. I stopped at 8 because the loops were getting really big, but I used a 9mm hook, so the stitches should be tighter with a smaller hook. Tell me if you have any questions, and good luck with your scarf! Send me a picture when you finish– I’d love to see it!


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