Thursday, July 12, 2007

Fun with Fibonacci


One of the things I love about weaving is design. You can take something as simple as dishtowels, use a plain warp and play with the weft like crazy. So I had me some fun with Fibonacci. Fibonacci was a mathematician. (Go read about him here.) So to play with Fibonacci, you gotta make like a bunny and bust out your linear recurrence equation. A linear recurrence equation is a recurrence equation on a sequence of numbers expressing Xn as a first-degree polynomial... Fine, so I looked that up on Mathworld. Stop laughing. Here's how I understand it...start with 1 and 1. Add them together, you get 2. Now take the last number (1) and add it to 2. You get 3. Now add that to the last number and you get 5. Are you following me? 1,1,2,3,5. Those numbers will act as your number of rows for a given color. That's the basics. Now play.


I actually started with the number 2, and I took it to the number 10, and then came back the other way. I assigned that sequence to green. I then reversed it and assigned it cream.

Green - 2, 2, 4, 6, 10, 10, 6, 4, 2, 2

Cream - 10, 6, 4, 2, 2, 2, 4, 6, 10

Hmmmm. Technically I think there was supposed to be another "2" in the cream, but whatever. That's my Wabi Sabi.

Neato, right? And not just cool for weaving. Knitting, crochet... (Flickr pool, anyone?)


Now a weaving question. Is it normal to see your threading sequence? That will tighten up in the wash, right?

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14 Comments:

Anonymous Mintyfresh said...

LOVE your use of Fibonacci numbers for the weaving! Looks awesome. (i know nothing about the visibility of a threading sequence, sorry!)

9:08 PM  
Blogger Octopus Knits said...

Very cool! (I'm not a weaver, unfortunately, so I can't answer your question)

9:37 PM  
Blogger Debbie said...

I don't get it - well I get the fibonaci sequence, I was a math geek, but I don't get how it makes a patter - ah the joys of hand mades! Thanks for the words of encouragement, 30, schmerty right? I just need to kick myself out of this funk :)

10:08 AM  
Blogger Harlem Purl said...

Kewl. Love it. LEt me know if you find the flickr pool. I'd love to join.

10:50 AM  
Blogger Annie said...

There are Fibonacci flickr pools, but they are really intimidating. I am thinking of starting one for us fiber enthusiasts.

11:04 AM  
Anonymous Anonymous said...

Reminds me of Finnish rugs - the striping. The MATH of it all. I had Dad look. WOW. I'm impressed.
What is a flickr pool?
MOM

7:49 AM  
Blogger HPNY Knits said...

nice! and very crisp looking.

3:34 PM  
Blogger Sarah said...

I love Fibonacci, pure genious. Your weaving looks fabulous!

5:37 PM  
Blogger allisonmariecat said...

Can't help on the weaving question, but your Fibonacci sequence is just too cool.

9:43 AM  
Blogger Faerynuff said...

Looks gorgeous, weaving looks like fun :)

The bunny and bear are sitting on a Babette blanket - you can see more here

http://faerynuff.blogspot.com/2006/09/some-more-knitterly-bits-and-two.html

and here

http://faerynuff.blogspot.com/2006/07/final-four.html

5:41 AM  
Blogger bspinner said...

Cream and green are beautiful. It is normal to see the threading sequence and if you use the same yarn for both colors they should shrink when washed at the same rate.
What a beautiful baby!!!!
Barb

5:05 PM  
Anonymous Rhonda from Baddeck said...

Looks like you're doing 20 epi in a 12-dent reed (threaded 1-2-2?). Yes, it should tighten up after washing and drying. You still might see a "shadow" of the sequence after only one washing, but it should disappear eventually. I'm thinking of getting a 10-dent reed to avoid the same problem.

11:22 PM  
Anonymous Lia said...

Next, you've got to do it with a Mandelbrot set.

10:27 PM  
Anonymous Anonymous said...

Hey Anne-Marie,
I love the towels and I can't tell you how proud I am of you. You have just taken off like a shot on your own. It is just terrific that you are experimenting and getting terrific results.
Wish they could be done in time for our show but I guess not.
Keep up the good work.
Yer "Teach"
Terry

11:32 AM  

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