A famous recent puzzle is Rubik’s cube. It did not really begin it’s infamous popularity until 1981.
Solving this puzzle involves both sides of the brain as you must be able to previsualize spatially the final result while you remember where you’ve been in the sequence of rotations. Though a very difficult puzzle, it is a good exercise for brain flexing whether you accomplish the final result or not.
Game include classic Cube 3×3 and Cube 4×4. Also added Piramyd 3×3 and 4×4.