Abstract: A manipulation puzzle consisting of rigid or semi-rigid components is disclosed. The puzzle is solved by manipulating the components through a specific sequence of movements, in predetermined order, in accordance with a code employed in the construction of the puzzle. Various interacting components are interchangeable, thereby providing for the construction of "families" of puzzles. The puzzle comprises a plurality of ring members disposed to form a cylinder about a plurality of longitudinal slide members forming an interior cylinder on a common axis with the ring members. The solution is programmed into the elements by a series of pegs on one set of members, and a cooperative set of grooves on the other set of members.