A self-contained three-dimensional puzzle game that has a plurality of free-floating individual puzzle pieces (6) enclosed within a transparent enclosure (8). Puzzle is solved by using a wand (1) to move the individual puzzle pieces and forming the three dimensional solution. Wand is comprised of a rod, which extends through a small hole (4) in the enclosure. One embodiment has the three-dimensional subject solution covered with image graphics (10) so that when the individual pieces are manipulated into the correct positions they bring about an overall composition.