1. A dual function pillow comprising: (A) an inner bag having a compressible filler therein; (B) a removable outer case for covering the bag, said case having a character drawn in two dimensions printed on its face; and (C) means engaging the outer case to constrict the pillow along transverse lines displaced from opposite ends of the case, the placement of the lines relative to the character being such as to contour the pillow to transform the two-dimensional character into a three-dimensional figure whose form is generally that of the character, the pillow being usable as a conventional head rest or for any other conventional purpose in its non-constricted state.