*see*clear as day whether this line was longer than that line, or twice as long, or whatever. But to

*prove*it properly drove me bonkers – partly because I graded my own homework (homeschooled!), was brutally honest, and if my answers didn’t match up precisely, I had to mark myself down just because I knew something in my head instead of writing out

*every*mind-numbingly obvious step

*by hand*. But hate as I might, this week, I am at geometry’s mercy.

As of Monday night, I had gotten through the smallest of my three skeins. I wanted to get a sense for whether I had enough yarn, so I did some simple geometry. The piece was (without stretching) exactly half the length and width of the target size (22″ long, 66″ wide). That first little skein, at about 130 yards, was about 1/4 of the total yardage I’d spun. Above, you see the amount I had knit superimposed on the target size.

So I engaged in some simple geometry. I drew a few lines, dividing the “still to be knit” portion into triangles the same size as what I’d knit so far. Because B2 has the same hypotenuse as A and the same angles, I know it’s identical to A. The same is true for B1 and B3.

So I was spot on, exactly. It might be a near thing, but with 3/4 of the yarn left, I was pretty confident that I had 3/4 of the knitting to go.

Now that I’m nearly through the second skein, checking my progress has gotten a little trickier. I’ve used 320 yards, leaving about 180 yards, or 36% of the yarn left. The shawl is a solid 18″ deep.

I couldn’t do anything so simple as my first exercise, but that inspired me to do another fit-the-smaller-triangles dealie. I drew a straight line across from the 4″-from-the-bottom point, and called this little triangle “C”. I then filled the rest of these two spaces with triangles of the same size, using the known height of the center of the shawl to make sure I had the correct #.

I fit exactly 10 of “C” into the “yet to be knit” portion, and 20.5 in the “already knit” portion. (The small rectangles at the top are equal to “C”; this isn’t geometry class so I don’t have to proof it out for you.)

This means that the “yet to be knit” portion is 33% of the knitting. So with 36% of the yarn left, I should be golden.

*, since I’ve completed enough to finish my shawl. I think I originally said I’d spin the whole half a fleece, but that’d be*

**handspun heptathalon***way*more than I’d need, not to mention tedious. My real goal was to spin and knit a thing during the olympics, and I can safely say the spinning leg of this diathalon is done. Woohoo!

LOL! Wow, Rebecca… You may not believe this, but the actual MATH is easier! That said, I really must award you a few bonus points for style! (…and style points factor in quite heavily in the “sport” of knitting…) 😉

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Lol! I guess I could have just calculated areas and compared now that I think of it. It honestly didn’t occur to me x.x

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Blame it on pregnancy brain!

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