furoshiki is a traditional japanese wrapping cloth...
Modern furoshiki can be made of a variety of cloths, including silk, chirimen, cotton, rayon, and nylon. Furoshiki are often decorated with traditional designs or by shibori. There is no one set size for furoshiki, they can range from hand sized to larger than bed-sheets. The most common sizes are 45cm (17.7 inch) and 68-72cm (26.7-28.3 inch).
Traditional Korean wrapping cloth is called Bojagi or bo for short. Bojagi are square and can be made from a variety of materials, though silk is common. Embroidered bojagi are known as subo.
They are very similar to Japanese furoshiki.