A three dimensional twisty puzzle is usually made of a set of pieces that can change their position through a group of
operations, obtaining different combinations. Physically, the rearrangement of positions is done through the rotation (twist) of some pieces around a point of the polyhedron (which may represent one of the pieces of the puzzle), which is usually located at the center of a face or a corner.
Often the
puzzle pieces have one or more colors and the solved state is represented by the position in which each face of the polyhedron contains pieces of a single color.
A puzzle with intricate mechanisms such as the Rubik's Magic Cube, Fisher Puzzle, Rubik's Revenge, Pocket Cube, Pyraminx, Dodecahedron, Megaminx, Square-1, Skewb, Void, Floppy Cube, 7x7x7, and others.
Many are used in competitions regulated by The World Cube
Association (WCA).