A logic cube for teaching, learning, entertainment and motivation is presented. The logic cube has indicia arranged in well-defined orientations including radial symmetry, pairing pattern and triple logic. The pairing pattern helps to generate meaningful combinations for applications involving sets of two (2). The triple logic helps to generate meaningful combinations for applications involving sets of three (3). Radial symmetry helps generate meaningful combinations involving a greater number of indicia. Applying the exclusion logic helps to avoid meaningless or undesirable combinations and ambigrams help to include indicia which can be read in multiple orientations. The invention of logic cube provides a new function which can be applied to numerous areas such as science, arts, food, fashion, motivation and general education and it provides a novel experience as compared to prior art. The invention of logic cube could be applied to other geometric shapes such as tetrahedron (Pyraminx®) and dodecahedron (Megaminx®) and sizes other than 3×3×3.

A logic cube with changeable tiles is presented. The tiles which can be fit on the logic cube, have indicia in well-defined positions and orientations such that the resulting solid is an exact but larger replica of the initial logic cube. The tiles are such that they can be easily fit or removed, and do not fall off with the movement of the logic cube. They also do not obstruct the functionality of the logic cube. Other geometric shapes such as tetrahedron and dodecahedron and sizes other than 3?3?3 may be used.

A logic cube with changeable tiles is presented. The tiles which can be fit on the logic cube, have indicia in well-defined positions and orientations such that the resulting solid is an exact but larger replica of the initial logic cube. The tiles are such that they can be easily fit or removed, and do not fall off with the movement of the logic cube. They also do not obstruct the functionality of the logic cube. Other geometric shapes such as tetrahedron and dodecahedron and sizes other than 333 may be used.

Geometric puzzles may include a puzzle core. A puzzle faces may be provided on the puzzle core. Each puzzle face may include a puzzle piece guide. The puzzle piece guide may form a central axis of rotation of each corresponding puzzle face. Puzzle pieces supported by the puzzle core may be concentrically arranged around, detachably engage, and revolvable about the puzzle piece guide. At least one visual pattern may be provided on each puzzle piece. The puzzle faces may each be rotatable by revolving the puzzle pieces about the puzzle piece guide of each corresponding puzzle face to transfer or exchange at least one of the puzzle pieces among or between the puzzle faces and attain selected combinations of the visual patterns on the puzzle pieces in each puzzle face for scrambling or matching of the visual patterns on the puzzle pieces in each puzzle face.

A logic cube with changeable tiles is presented. The tiles which can be fit on the logic cube, have indicia in well-defined positions and orientations such that the resulting solid is an exact but larger replica of the initial logic cube. The tiles are such that they can be easily fit or removed, and do not fall off with the movement of the logic cube. They also do not obstruct the functionality of the logic cube. Other geometric shapes such as tetrahedron and dodecahedron and sizes other than 333 may be used.