Fibonacci Sequence

fibonacci

The first time, I remember reading about the Fibonacci Numbers  was in the DA VINCI CODE by DAN BROWN. I believe, I  probably heard about this in some mathematics class when I was in school. That was a long time ago and usually that time of day I was checking out what was happening outside the window.

Fibonacci was known in his time and is still recognized today as the “greatest European mathematician of the middle ages.” He was born in the 1170’s and died in the 1240’s. He called himself Fibonacci,  short for Filius Bonacci Fibonacci. Fibonacci introduced these numbers in 1202 attempting to show the population growth of rabbits. He started with two rabbits and over the course of a year (12 months)  produced 144 rabbits.

The Series Sequence:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233…

The sequence is a result of adding two consecutive numbers together, starting with 0 and 1.

So what does this have to do with fiber?  
                                                       Striped knitting patterns

Striped knitting patterns

 

If you like to design your own striped patterns, this makes it incredibly easy and pleasing to the eye.  If you want a tone on tone pattern a garter ridge sequence might do the trick. Fibonacci lends itself to color placement as well as a design element. The design takes shape rather quickly. This is also a good solution when you are nearing the end of a project and you are afraid you may run out of yarn.  Just add on a complimentary color and do a few sequence stripes. Use the chart above for reference. Experiment. Show me a photo of how you used it.

What I did learn about rabbits…two of the same sex is two to many.

Mobius strip or Moebius band “Knitting”

Möbius strip

Möbius strip

In 1858 August Ferdinand Mobius discovered this mathematical band for which this strip was named. Coincidentally at the same time, though independantly, another German mathematician also discovered it, Johann Benedict Listing.

By taking a rectangular piece of paper and giving it a half twist, then taping the ends together, the result is a Mobius strip. Take a pencil and draw a line down the center of the strip, don’t stop until you end up where you started. It becomes one continuous line. How curious…it only has one side, one surface.

While I was researching this topic I came across the part that piqued my interest. Those of you who read my blog regularly know I am a spinner. So it’s the Z and S twist that puts a smile on my face. The moebius strip is multi-directional. 🙂 In Euclidean space (if you want to have that explained you will need to google it) there are two types of Mobius strips. They differ in the direction of the half twist, clockwise and counterclockwise. The word for the day is CHIRAL, meaning handedness, as being right or left, clockwise or counterclockwise, z or s twist.

Mobius and knitting met back in the 1960’s, though it was first made popular by Elizabeth Zimmerman (Baby Surprise Jacket). She made a scarf, then put a half twist and sewed it together (extrinsic twist -the twist is put in at the final stage). The key to Mobius knitting or crocheting is to use a stitch that on both the front and back looks the same.

Cat Bordhi (intrinsic twist -put in during the making) uses circular needles that are at least 40+” long, incorporating the moebius band as she knits. If your interested watch her video on YouTube.

If you made a Mobius cowl, send me a photo. I would love to update this post and show it off.

photo by David Benbennick