Rotating spheres puzzle

A puzzle comprising

• (a) a plurality of substantially spherical figures of same size arranged to form a three-dimensional matrix of spherical figures along three orthogonal axes X, Y, and Z, said spherical figures equally spaced between each other and overlapping to form areas of common intersection;
• (b) each of said spherical figures further comprising a base and a plurality of pieces on the periphery of said base, said base having a plurality of recesses on the periphery, said recesses symmetrically disposed around the center of said base, said pieces disposed into said recesses respectively, whereby said pieces within said areas of common intersection are common to two neighboring spherical figures;
• (c) each of said spherical figures having three orthogonal axes A, B, and C associated thereto, said axes A, B and C being parallel to said orthogonal axes X, Y and Z respectively and passing through the center of the respective one of said spherical figures, each of said spherical figures being rotatable about said orthogonal axes A, B and C, whereby said pieces can be moved into corresponding recesses in other spherical figures including said areas of common intersection by sequentially rotating said spherical figures in predetermined angular increments;
• (d) a housing surrounding and encasing said matrix of spherical figures, said housing having walls that substantially limit any translation of said spherical figures, said walls enabling rotation of each of said spherical figures about said orthogonal axes A,B and C;
• (e) means of guiding said spherical figures to rotate one at a time in predetermined angular increments about said orthogonal axes A, B and C.