From the book: Origami is the Japanese art of paper folding, which spread to Japan from China sometime during the sixth century. Originally, because very little paper was available, only the rich could afford to do paper folding, and their intricately folded objects were used as gifts. As paper became easier to get, origami became a popular art.
The Origami sock looks unusual when it is not on the foot. Worked from the toe up, the leg of the sock appears to have “folds” where it goes in and out, much like the ornate folds of origami. However, when worn, the leg flattens out into a very decorative fabric. Because it is worked with a seventeen-stitch repeat, you have to move two stitches from one needle to another in order to work Round 3, and then move them back at the end to continue the pattern. Other than this maneuver, it is a fairly straight-forward lace pattern that uses many yarn overs, twisted stitches, and both right and left leaning decreases.