Math and Mattress Stitch

After I published the post Madison Wisconsin USA January-December 2023 about the unfinished temperature blanket I was making as a wedding present for my younger daughter and her new husband, I was still troubled by the fact that I had been unable to think of the algebraic equation for calculating the number of rows I would need to get a square shape from a stitch count of 84. I needed a number that would enable me to pick up stitches modularly at a 3:4 ratio to get the 84 stitches from which I would knit a new square. I used a much cruder method to get my number, 112, but I felt really ashamed of my innumeracy, and I lay awake the night after publishing the post trying to do the mental math to divide 112 into 84 with the hope that the result would point me toward the equation I was looking for. I’m not that good at mental math. In the morning, the first thing I did was to poke the numbers into my calculator: .75, my 3:4 ratio!

Now that I knew the numbers for all three parts of my equation, I could move around my X from one side of the equal sign to the other, until I arrived at the embarrassingly basic equation I needed to calculate row counts at a given ratio, knowing my stitch count: 84 ÷ .75 = 112. I’m pretty comfortable with multiplying numbers by .75 to get a smaller number, but for some reason I had a lot of trouble accepting the idea that to get a larger number, I would need to do the inverse operation, division. But now I have the equation in my pocket for deriving row count from stitch count at a 3:4 ratio. It’s n ÷ .75 = x. I will never forget it. If only I had been taught math through knitting when I was a school child, which might have opened up the whole world of math-based career possibilities. I might have been a good civil engineer. Maybe I could have survived med school to become a pathologist (doctor daughter doubts it)…. determining cause of death sounds like something I would have enjoyed and done well… But no real regrets. I went into the liberal arts and learned the now-rare arts of coherent writing and critical thinking. Not to mention that it prepared me for a career in which I used my field of study for a 30+-year career that gave me the life I wanted and a comfortable retirement.

Now that I was done with the machine knitting, I could let my back heal from the stress I had put it through by working at the machine for 3-5 hours daily on my inadequate chair. Now I could mattress-stitch for miles while binge-watching The West Wing in a soothing rocking chair. But as I stitched my way through President Bartlet’s first two years in office, I began to suspect that I had outsmarted myself by recalculating the measurements for the seasonal panels on the basis of the gauge of the stranded patterning and subtracting the number of stitches in the squares that were used up in the modular joins. I couldn’t sew them to the edge of the temperature side evenly. I hoped that I could get everything to lie flat and fit together perfectly by steaming the blanket on my ironing board after it was all assembled, but the finished blanket was so huge, heavy, and unwieldy (weighing in at 9.67 lbs) that I could barely even get it onto the ironing board, which could only accommodate a small sliver of it at a time. The steaming effort was a bust. I did tack the corners of the temperature blocks to the inside of the seams of the seasonal panels, to try to keep the blanket from shifting and twisting unrecognizably out of shape, but that’s a pretty rough version of flatness and doesn’t meet my standards of perfection. I grieve.

I grieve because the lumpiness and messiness disturbs the part of the project that I probably get the most satisfaction from, the photos. It drives me mad that my in-progress pictures look better than the finished-object pictures.

I really love the seasonal panels, but they look a lot better viewed close-up in detail rather than from a distance includes all four panels in the picture. The montage picture I fabricated from four separated photos of the panels gets the idea across better than photos of the assembled panels.

I took a couple of pictures with a corner folded over to try to show both sides of the blanket. They don’t look like much.

Oddly, the photo of the finished blanket that I think looks the best is the picture I snapped of it folded up with the edges showing, in the bag we used to haul the monster up to the UPS store up the street.


9 thoughts on “Math and Mattress Stitch

  1. I have always thought it was a shame that math problems were only expressed in terms of trains, or cars, or space craft or any number of mail oriented activities. While I have a math degree, I struggled through all of the classes. It would have been much easier for me if geometry where expressed in quilting or knitting and proportions in cooking. I think there would be a lot more females in professions requiring math and they would generally be a lot less fearful of it if that were the case.

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      1. I never had any trouble with word problems that used trains or cars (and would have loved problems set in terms of space travel). I hated all that “this stuff is for boys, this stuff for girls” nonsense (especially when the girls seemed to get stuck with the most boring chores). However, I did learn the concept of relative proportions in the kitchen, when my parents taught me how to prepare bar syrup by mixing it 5-to-1 with water. “Five to one what?”, I asked. “Five cups to one, or five teaspoons to one, or five anythings to one, as long as it’s the same-size thing”. Voilà! Concept grasped. Really, most children seem to learn best and at a younger age from actual activities. Arithmetic, geometry, algebra, calculus are all means of solving practical problems, from sewing and carpentry to rocket science.

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    1. PS: Dyingtoweave, I love the phrase “mail oriented activities”. I’m imagining some mail-oriented word problems: “When will this package arrive, if it’s scheduled to arrive next Tuesday?”

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      1. Ha,ha, yes, automatic filling in on apple devices got me again and no real way to correct it – but it just shows you are reading carefully. And I agree about the part about not splitting activities by gender; male vs female. It is more things that resonate with you versus not – I was never interested in things of a mechanical nature; although; maybe if it had been about how fast can sewing machines go or how to put looms together it would have resonated more with me. And geometry was terrible for me – now, if it had been about figuring out how to piece together a knitted sweater with the whole gauge issue, I would have paid more attention. And/or definitely useful in Rio Grande style tapestry weaving.

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