I can’t even remember what I was looking for the other day when I came across this:
Which is supposed to be part of what I’m calling my Mighty Mitered Squaregan. According to Ravelry, I began this project roughly two years ago. A few months ago I really focused on finishing it, and while it isn’t sewn together yet, I completed the remaining 50% or more planned squares. I even took a photo of how I planned to sew the squares together:
But as I was approaching the end of the yarn I had on hand, I thought the blanket would be too small. The starting batch was three 10-packs of different colorways of Classic Elite Liberty Print worsted, which I purchased at a discount at WEBS, the one time I actually visited the physical shop! And I got a little excited about one of the colorways and borrowed 3-4 skeins to make a Baby Surprise Jacket. Since this sweater doesn’t have buttons yet, I reserved the right to frog it in case I needed it for the blanket, but the sweater is so cute that I haven’t brought myself to unravel it.
Including the edging, which I haven’t figured out yet, but imagine will be a few ridges of garter stitch in one of the yarns, I decided I was around 10 balls short of the size blanket I wanted, so I selected a coordinating fourth colorway and ordered another 10 balls, reaching my 80-square goal and setting aside six balls for edging.
But now I find that I have 9-10 squares’ worth of yarn sitting in the bottom of an abandoned work basket! This finding is exciting and frustrating all at once. Not only do I have more garter stitch ahead of me, which is fine, but it means my sequence photo is obsolete and I’ll be back to playing with the order of the squares once I see how this colorway affects the overall blanket layout.
I’m also not at all certain that 6 balls is enough for the edging. It sounds like a lot, but will it be enough to go around 24 feet of edge, and how many times?
In fact, let’s do some math! Remember that formula for summing a series of integers? Me neither. The magic of the interwebs tells me:
By using Carl Gauss’s clever formula, (n / 2)(first number + last number) = sum, where n is the number of integers, we learned how to add consecutive numbers quickly. We now know that the sum of the pairs in consecutive numbers starting with the first and last numbers is equal. [Note: where “n” is the number of integers.]
But I actually don’t want to add all the numbers. I want to add only odd numbers, since I started with an odd number and I decrease every two rows. Wikihow tells me the formula is: (1/2(n + 1))2So each of my squares would have approximately (1/2(1+61)2 = 1,346 stitches. Except that this would only account for front-side rows, so I need to double this to reach the number of stitches per square: 1,346 x 2 = 2,692 stitches per square, or per approximately half a ball of yarn.
If each square edge is then around 30 stitches long, and my blanket is 9X10 squares, or (9+9+10+10) = 38 squares around, then my blanket is 38sq*30st = 1,140 stitches around.
If I have six balls of yarn left, I have (2,692st x 6 balls) = 16,152 stitches worth of yarn available for the edging. (I do have some extra…) If I divide this number of stitches by the number of stitches per round, I should be able to get an approximation of the number of edge rows’ worth of yarn that I have, which is 16,152st/1,140st = 14.16 rows, or 7 ridges.
This doesn’t account for binding off, but I feel comfortable that with the extra yarn I have, even with adding stitches at each corner for a mitered edge, I can achieve a 6-ridge edge and then bind off with ease.
Whew! I actually like puzzling through these things, sometimes, when I can get my brain to focus.
Have you had to do math to design or modify any of your recent projects?