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:   F_n = F_n-1 + F_n-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.

Pen
Tile
Joyce Block
Providence
Rick and Maria
Certified Zentangle Teacher

Here are the Fibonacci tiles.