Tuesday, 31 January 2012

Fibonnacci knitting

Other than building software, I enjoy making knitwear. Thanks to
 I've been playing with stripes this month.

The idea of using the Fibonacci numbers to make either a full scarf or to finish a neckline or cuffs isn't a new one, because they converge to converge to the Golden Ratio (which is visually A Good Thing).  And it's always good to use some kind of pattern in the 'dribble zones' of baby wear.

The idea is to come up with a balanced stripe pattern, by adding consecutive numbers
so, if we start with the seeds 0,1  we get the sequence 0, 1, 0+1=1, 1+1=2, 1+2=3, 2+3=5, 3+5=8, 13,21 etc.

The fun starts here. Any set chosen from a smallish range of these number makes a good pattern
so, choosing 2, 3,5, 8 and b (blue yarn) and G (green yarn) our garment can be striped bbGGGbbbbbGGGGGGGGG, which is boring but balanced.
Even better, if we want a 5 row rib edging (to stop the garment rolling)
we mix up the sequence numbers to 5,2,8,3,2,5 to stripe bbbbb(in rib), then change to stocking stitch GGbbbbbbbbGGGbbGGGGG  The result is almost always easy on the eye.

Even better, since the Fibonnaci numbers contains 1 and 2, we can always match our total row count from some part of the sequence. So to knit the center of the fish-and-chip baby jumper, we need 30 rows stocking stitch. My cream and coral version used (5cream +1 coral) 6 times,. The shoulder section was repeats of (3cream+2coral). 

I still haven't played with the Lucas numbers which also converge to the Golden Ratio. The first two Lucas numbers are 2 and 1 instead of 0 and 1, and so we get  2,1,3,4,7,11,18,29 and so on.