A game piece, comprising members that are associated with one another with pivot axes, where a member provides a pivot support that allows independent rotation and or translation motions of a next member in different directions.

A hand-held puzzle game having an outer cube-shaped puzzle surrounding an inner spherical puzzle. An embodiment of the invention provides a six-sided, two-by-two cube puzzle containing a spherical puzzle with nine floating two-color parts and six pole centers, three of which are V-shaped to restrict rotation in some directions. The outer cube and inner sphere puzzles maybe solved independently, or the two puzzles may be solved jointly to solve the entire puzzle.

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.