Knitting math
Things I failed to take into consideration when I decided I wanted to do a shawl in sock yarn: it takes not a little more knitting with sock yarn, but much more knitting to get things to the same size as with a thicker yarn.
The pattern for the Clapotis wrap calls for 3 sections: an increase section, a straight section, and a decrease section.
For the original, the increase section is 107 stitches at final row of increases. Add up 1+2+3...106+107 to figure out how many stitches there are in that section. The formula is (n+1)*n/2, because there are n/2 numbers of pairs that add up to n+1. So, 107*108/2 = 5,778 stitches in the first section.
The straight section adds up to 13 repeats of 12 rows* 107 sts/row = 16,692 stitches. The decrease section is the same as the increase section. That's a grand total of 5,778 +16,692 +5,778 = 28,248 stitches for the original.
That is slightly amazing, actually, but I whipped that out in about a week and a half for a shawl to give to my mother. So figured, "another week and a half for the next one..." and oh, was I ever wrong.
Sadly, to get to the same width in a thinner yarn, I'm up to 155 stitches in the increase section already. That's 155*156/2 = 12,090 stitches already. Add 18 repeats in the straight section = 33,480 stitches, plus the decrease section... 57,660 stitches.
Having considered the math (way too late...), it appears that I'm doing at least twice the knitting this time around. Oops. Lesson learned: avoid doing shawls in sock yarn unless you enjoy being Taken to Math Skool by your knitting.
The pattern for the Clapotis wrap calls for 3 sections: an increase section, a straight section, and a decrease section.
For the original, the increase section is 107 stitches at final row of increases. Add up 1+2+3...106+107 to figure out how many stitches there are in that section. The formula is (n+1)*n/2, because there are n/2 numbers of pairs that add up to n+1. So, 107*108/2 = 5,778 stitches in the first section.
The straight section adds up to 13 repeats of 12 rows* 107 sts/row = 16,692 stitches. The decrease section is the same as the increase section. That's a grand total of 5,778 +16,692 +5,778 = 28,248 stitches for the original.
That is slightly amazing, actually, but I whipped that out in about a week and a half for a shawl to give to my mother. So figured, "another week and a half for the next one..." and oh, was I ever wrong.
Sadly, to get to the same width in a thinner yarn, I'm up to 155 stitches in the increase section already. That's 155*156/2 = 12,090 stitches already. Add 18 repeats in the straight section = 33,480 stitches, plus the decrease section... 57,660 stitches.
Having considered the math (way too late...), it appears that I'm doing at least twice the knitting this time around. Oops. Lesson learned: avoid doing shawls in sock yarn unless you enjoy being Taken to Math Skool by your knitting.