I’ve been making a lot of socks, knit from the cuff-down. I know you can knit them toe-up, too; I just haven’t, yet. Well, once, but I never finished the first sock.
I’m knitting a mitered square for a Ravelry group project Afghans for Afghans blanket in honor of Kay and Peter. So why not turn that idea upside down, too? Instead of starting with the long edges and decreasing down, what if we start at the point, and increase up? Anything to mix things up a bit! And no gauge swatch required, because you’d stop when the square reaches the right dimensions.
Here’s my first attempt:

Cast on 2. Knit the first row (wrong side).
Row 1: KFB (knit in front and back of stitch), place marker, KFB
Row 2: Knit.
row 3: K to stitch before first marker, KFB, slip marker, KFB, K to end
Repeat rows 2 and 3 until square is desired size, changing colors as desired, ending with a row 2. The symmetry lover in me would probably bug out not knowing if the stripes would all be the same number of rows. I’m that way. But maybe I’d get around it by making all stripes just two rows (1 garter ridge), or 4 rows (2 garter ridges), and carry the second yarn up the side of the block, twisting at each color change. Binding off was a bit tricky; my regular knit bind-off was too tight and the piece wasn’t very square. I changed to a suspended bind off, and that made it looser, but there’s still not a nice pointy corner on the bound off edge.
I also tried this with yarn over increases on each side of a center stitch, like this:

Cast on 3. Knit the first row (wrong side)
Row 1: K1, yo, place marker, K, place marker, yo, K1
Row 2: Knit
Row 3: K to marker, yo, slip marker, K, slip marker, yo, K to end
Repeat rows 2 and 3 until square is desired size, changing color as desired, ending with a row 2. Again, I used a suspended bind off to keep the edge from pulling.
You could use any increases you like, as long as you increase just before and just after the center. Some need a center stitch to separate them, and some don’t. I can never remember which M1 increase leans left and which one leans right, but paired increases would look nice. Here’s a link to KnittingHelp.com‘s excellent page on increases.
I’ll add this information to the mitered square pattern page, just in case someone else wants to mix it up, too.
After all of that, I’m making my current mitered square in my usual way, long edge first. It needs to be 10 inches square, and I know that I get 4.5 sts/inch in garter stitch on US size 8 needles. 10 inches times 4.5 st/inch is 45 sts for each 10 inch edge. 90 stitches for my square.
Knit on!