A rotating rod in combination with a retractable concave/convex tape creates pairs of folds on a fabric article on a horizontal platform. A machine and method are described. The tape extends outward and downward to hold the article at a first fold location, while the rotating rod moves from below, then over and across the tape, pulling the fabric with it to create a second fold at the farthest motion of the rod. These motions are typically repeated on the other side of the article, then at right angles, created a finished, folded article of a generally rectangular shape.