The BMW GINA Light Visionary Model, a concept car unveiled in June 2008, has been called a "shape-shifting car" because it features a flexible, cloth, body.
The car has been built purely as a design experiment and was never intended for production. It will be housed in the BMW Museum in Munich, Germany.Autopia (Wired): BMW Builds a Shape-Shifting Car Out of Cloth (June 10, 2008)