Simple Mesh Ribbing
The question of reversible lace is one I've been thinking about since early in my knitting career. It was probably several years ago that I was looking at the kind of simple mesh where you knit two together and yarn over, all across a row, then purl back. It occurred to me that you could do the same thing, but alternate between knit decreases and purl decreases.

It's a multiple of four stitches (plus whatever selvage you want), and takes two rows:
row 1: *p2tog, YO, ssk, YO*, repeat from *
row 2: *p2, k2*, repeat from *
It biases strongly, and makes a pleasant scarf with angled ends. Although the front and back side are not knit the same, the finished object is identical on both sides. Here's a small swatch where I cast on 18 stitches, so I had four repeats, plus a selvage stitch at each end.

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