BJ's PJs - Baby Origami Double Wrap (Starry Starry Night) The Baby Origami Doublewrap was the first wrap to have a double layer of fabric to help keep babies snug and wrapped in their wrap for their much-needed sleep. The Doublewrap has no fixtures, zippers or fasteners ... just good old-fashioned swaddling and premium breathable organic fabric. Thousands of parents have successfully used the ‘best baby wrap ever'.