Yes, Virginia, it is possible to knit mitered squares by the hundreds and not have to sew them together. It is even possible to stripe those mitered squares, but that does mean you have ends to weave in--unless, well, I'll tell you about that later.
I found a slip stitch that resembles mitered squares very much like, you know, the ones made famous by Mason-Dixon Knitting.
When I first saw this pattern in 250 Beautiful Knitting Patterns by Gisela Klopper, I couldn't execute it. First off, the entire book is beautiful color charts, which is great for chart lovers, but there are no row by row instructions. Second, most of the charts only have the odd rows. The even rows are sometimes patterned, but then the even row instructions are included by using different symbols on the odd rows, symbols that include the instructions for both rows--in one symbol. Confused? I was, but I've got it now.
The pattern is a 10 stitch, 20-row repeat, with garter stitch forming the horizontal stripes to the left of the right angle turn, and stockinette slipped stitches forming the vertical stripes to the right.