A brain twister includes an inner structure and a plurality of movable elements and a plurality of stationary elements arranged on the inner structure. The movable elements are arranged to orbit about the stationary elements. At least three of the moveable elements and one of the stationary elements form a group. The moveable elements in the group are arranged to move around the stationary element of the group. The brain twister includes a plurality of groups. Each moveable element forms a part of at least two of the groups.