Thanks for the kind words, everyone! Yay, knitting and other fibery creations!
I kind of made up the pattern, but am glad to share what I did. I wanted something reversible and not too complicated, so I went to knittingonthenet.com and looked for reversible patterns. This is a chevron pattern (15 or 16 rows, I believe), with four rows of garter stitch at the beginning and end, and four garter stitches at the beginning and end of each row.
If I'm allowed to post the whole pattern, I'll be glad to do that. I'm still a little fuzzy on what's legal to share and what's not. Since I kind of made it up, maybe it's okay?