Tuesday, November 15, 2011

Tangle Tuesday (Fibonacci)

At the Zentangle® seminar in Providence Rick talked a few times about the Fibonacci sequence, the Golden Curve, all of those things associated with Fibonacci (he was really Leonardo of Pisa).  For a year now I have been fascinated by the work the Fibonacci did. You can find so much about it on the internet and wonderful pictures of the Golden Curve in nature, in science, in art, and even in music.

For a bit of time now I have been trying to connect Fibonacci with Zentangles.  I had the idea to design a pattern with the golden curve but decided this would not be a good thing for a tangle.  The Fibonacci curve is too calculated and in tangling most things are free hand.  However, I did two things, actually three things.  Number one, I design a golden curve on the computer and printed it up onto 3 and 1/2 in squares and then tangled it.  Number two . . . I used calculations on the computer to design square that would replicate the golden curve, tangled on each of those squares and then pasted them on a background in the shape of the golden curve.

Number three . . . one must first understand what the Fibonacci Sequence is.  Very briefly, it is a series of number that follow a sequence, namely 1...1....2....3....5.....8....13.....21....34.....55.... and so on.  An easy to understand form of the equation would be:   Fn = Fn-1 + Fn-2      The third thing I did was to write a Fib.  A fib is a poem using this pattern:  line 1 has 1 syllable; line 2 has 1 syllable; line 3 has 2 syllables; line 4 has 3 syllables; line 5 has 5 syllables; line 6 has 8 syllables.  This is my Fib.

Joyce Block
Rick and Maria
Certified Zentangle Teacher

Here are the Fibonacci tiles.


  1. wow. you are officially a "great thinker" :)

  2. I have to do more research on Fibonacci.
    The Fibonacci tiles are they based on the fib or the numbers or both?

  3. Sharon, the tiles are based on the Fibonacci Curve which is based on the Fibonacci Sequence. Here is a site that explains the curve fairly well.


    Do some research on it. I find it fascinating . . . you can see it in art, in nature, in science, in math, in music . . . all over the place.

  4. Well, I certainly learned something today. Thank-you. I love to learn something new every day. Very interesting.

  5. Joyce, this is intriguing! I love this blog entry...art, science, math, poetry, history...wow.

  6. hello Joyce; I came across your blog on the golden curve tonight. I just wondered if you knew that the golden curve has been used in dressmaking for years. Some years ago I ran a small factory unit and we made from suits to wedding dresses. I had a lot of fun. Anyway what i wanted to tell you we used the golden curve drawing and cutting out the garments.
    By the way I love your tangling.

  7. I tried a nautilus spiral too! Check out the last image on my blog post here:

  8. Fascinating. I too love learning all of the time. I especially appreciate your poem