Sunday, January 3, 2016

Fibonacci Scarf

I'm not sure this exactly belongs on this blog, but my son wanted me to post it somewhere and it fits better here than anywhere else ...

Last year (2014) for Christmas I sent my husband and the kids to the craft store and told them each to pick a skein of yarn for me to knit a scarf with.  I hadn't knit in a long time.  When my oldest was about 4 and my second was about 2, they discovered that knitting needles made great swords, and they tended to take the 'swords' out of whatever I was knitting and it just didn't really work well.  But now, I thought, the older one knew better and the youngest (then 2) was not as interested in sword play as her brothers had been.

And knit I did.  I made three scarves for the three youngest, and by then I was getting a bit bored with extremely simple designs that I could knit almost in my sleep.

So for my oldest, I made a Fibonacci scarf.

I cast on 21 stitches.

I expressed the sequence in three different ways:

Fibonacci #1

1: knit 1 row
1: knit 1 row
2: knit 2 rows
3: knit 3 rows
5: knit 5 rows
8: P2, K17, P2; K2, P17, K2; P2, K17, P2; P21; P2, K17, P2; P21; K21; K2, P17, K2.
13: K2, P17, K2; P2, K17, P2; K2, P17, K2; K21; K2, P17, K2; K21; P21; P2, K17, P2; P21; K21; P21; K21; K2, P17, K2.
21: P2, K17, P2; K2, P17, K2; P2, K17, P2; P21; P2, K17, P2; P21; K21; K2, P17, K2; K21; P21; K21; P21; P2, K17, P2; K21; P21; K21; P21; K21; P21;  K21; P2, K17, P2.

Fibonacci #2

0: K21

1: K1 p201: K1 p202: K2 p193: K3 p185: K5 p168: K8 p1313: K13 k821: K21

Fibonacci #3

K1 p1 k2 p3 k5 p8 k1
P12 k9
P12 k1 p1 k2 p3 k2
P3 k8 p10
K3 p18
K3 p1 k1 p2 k3 p5 k6
P2 k13 p6
K15 p1 k1 p2 k2
P1 k5 p8 k7
P6 k15
P6 k1 p1 k2 p3 k5 p3
K5 p13 k3
P18 k1 p1 k1
P1 k3 p5 k8 p4
K9 p12
K9 p1 k1 p2 k3 p5
K8 p13

This shows all three sequences in order (or almost all three):

I was able to do almost 4 repeats of all three sequences with one ball of Sugar-n-Cream Hot Green yarn on size 6 needles.  Frustrating not to be able to finish the last 8 rows or so!

But he didn't care.  Here he is modeling (along with siblings modeling theirs) on New Year's Eve, when I finally finished it:

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