math and knitting

(none of these particular items was knit by me although i HAVE made moebius scarves)



you heard me right - i said MATH and KNITTING

first, let's just start with some simple math:

Fibonacci Numbers and the Golden Section

The Fibonacci numbers are 0, 1, 1, 2, 3, 5, 8, 13, ... (add the last two to get the next)
The golden section numbers are ±0·61803 39887... and ±1·61803 39887...
The golden string is 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 ...a sequence of 0s and 1s which is closely related to the Fibonacci numbers and the golden section.

NOW, let's add some knitting to that bad boy:

here's how to make a moebius scarf

This pattern was inspired by similar patterns on the web as well as a life long love of math and science. I've always loved asking people to show me the right side and wrong side of a Moebius strip. ;)
The first time I made this scarf, I kept shaking my head telling myself that I must be doing something wrong, there's no way this was going to work. But I was wrong!
NOTE: To lessen confusion, even though it's a circular needle, the terms used to describe its two ends will be as if it was two separate needles.
Approx. 150 to 200 g worsted yarn (5 1/2 to 7 1/2 oz), wool or wool blend preferred (like Fisherman's Wool or Wool-Ease)
Circular needle of suitable size, 16 to 24 inches
Gauge: approx. 5 stitches per inch with worsted, though it's not critical
Cast On: Cast on 150 stitches, loosely. ................ (for the rest of the pattern click on the link)

now here's some knitted hyperbolic space













here's a fibonacci inspired SOCK




and for the heck of it, here's a LOVELY quilt


some more sites:

knitted klein bottles
crocheting the lorenz manifold (takes a while to load)