This pattern is a normal sock pattern.
This sock has nice complicated cables and a short leg — which means a short tube — but you can make simple ribbing and have it be as long as you want. A tube the size of your ankle is the main thing.
Having gotten the tube as long as the pattern says or as long as you want, you must then work back and forth on half the stitches for the heel.
The Log Cabin Socks have 48 stitches in the tube. So the heel is on 24 stitches. That means you severely ignore 24 of the stitches (there they are on the lower two dpns, being severely ignored) and knit back and forth on 24 stitches. The fourth needles is sitting in the yarn right now, but it will be used to knit back and forth as soon as I get back to knitting.
I usually cast on 60 stitches for a sock, because I use a smaller gauge, so I usually work the heel on 30 stitches. You might choose a pattern with 84 stitches or 56, depending on the size of the sock and the yarn — it doesn’t matter. A normal sock pattern will always do the heel on half the stitches. This is because of the way the human foot is shaped, and nothing is improved by trying to change that.
I usually do a knit 1, slip 1 pattern, this being a traditional sock heel stitch, but this one is k2p2 ribbing. Doesn’t matter. You knit back and forth until you have a square. I’ll show you what happens next tomorrow.