Three-dimensional puzzle

An oblique twistable 3-dimensional puzzle consists of an assemblage of parts where the organization of these parts is based on a guiding polyhedron which is an imagined oblique polyhedron. The guiding polyhedron is subdivided into pieces, with one center piece, and one piece for each face, edge, and vertex of said guiding polyhedron. The parts of said assemblage can be arranged so that for each part of said assemblage there is a corresponding piece of said subdivided guiding polyhedron and vice versa, and when said parts are so arranged they give the appearance of a single subdivided solid figure. The parts of said assemblage are held to one another by means pivotally connecting the face parts to the center part, and extensions of the edge and vertex parts with matching channels in the center, face, and edge parts. The parts corresponding to a face of said guiding polyhedron may be rotated as a block with respect to the other parts by 360 DEG . For symmetric examples of an oblique twistable 3-dimensional puzzle, some of said blocks may be rotated by some fraction of 360 DEG and brought into new positions. In said new positions the overall configurations of the parts of said assemblage are essentially the same as the configuration before said rotations. Said rotations allow the parts of a symmetric example of an oblique twistable 3-dimensional puzzle to be permuted in a plurality of ways. Said puzzle's challenge is to restore said puzzle, the parts of which have been permuted, to its original unpermuted configuration by performing the appropriate rotations.