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.