Abstract: The invention comprises a puzzle with the exterior shape of a sphere. The sphere comprises an even plurality of pieces formed by planes having in common a line joining two diametrically opposite poles of the sphere. The pieces are rotatably fastened together at the planes such that any two hemispheres, chosen by selecting one of the planes, can be rotated relative to each other. In the preferred embodiment the puzzle comprises six pieces formed by three planes 60.degree. apart. The puzzle is hollow with slideable interlocking connections between the pieces such that any two hemispheres selected can be rotated 180.degree. relative to each other. The sequential 180.degree. rotation of differing pairs of hemispheres scrambles and unscrambles the puzzle. The solution to the puzzle is identified by an easily recognizeable pattern on the exterior of the sphere such as a globular map of the earth.