Is everybody familiar with this Fibonacci stuff? How in 1202, Italian mathematician Leonardo Fibonacci of Pisa published a hypothetical math problem about multiplying rabbits and came up with a number sequence known as Fibonacci number sequence (though actually this was known about in India about 450 to 200 BC, see the Wikipedia entry, here.) The really amazing thing is that this sequence is found everywhere in nature. You can read more on that at this site.
For those unfamiliar with it, the gist of the sequence is that starting with zero, each number of the sequence is the sum of the two numbers that went before. In other words, start with zero plus one and add them together. Continue adding the second number of the equation with the sum, and voila, you have the Fibonacci sequence. Like this,
0 + 1 = 1
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
5 + 8 = 13
8 + 13 = 21
13 + 21 = 34
21 + 34 = 55
34 + 55 = 89
Thus, the Fibonacci Number Sequence is:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, etc.
My own fascination is probably related to the fact that it is logical. I tend to like things like that: puzzle games, music theory, algebra (though I'm not very good at it). Plus, I love stripes and plaids.
Fibonacci gives a quick and easy formula for stripes, rows, or the placement of a repeating motif. It can be applied to width, frequency, changes in color or texture, whatever. Pull a set of numbers out of the sequence and repeat them, or reverse them, and the result is visually pleasing.
My recently handwoven dishtowels and rugs use 1, 2, 3, 5, 8, and repeat. Since I am weaving summer & winter, I used those numbers to determine how may units each block would have.
What has made it all the more fascinating, is that by using 3 colors in my warp, each repeat of the sequence begins on a different color, as you can see. As I weave, I can treadle stripes like this, treadle the same 1, 2, 3, 5, 8 sequence as in this rug, or do something else as I did here. So not only can I have Fibonacci stripes, but Fibonacci plaids too.
As I weave I am also experimenting with different colors not only in the warp, but for the weft as well, both for the pattern and the tabby. And as I watch the colors and textures reveal themselves, my mind runs wild with new ideas.
I've also begun to wonder about repeating these squares and rectangles with fabric for quilt squares. Probably not something I'll try any time soon, but something to think about nonetheless.
Posted 3 May 2007 at http://leighsfiberjournal.blogspot.com
Fibonacci Overlay 1
Fibonacci Overlay 2
The Gestalt of Weaving (or Spinning, or Knitting, or ........ )