Abstract: A puzzle formed by splitting of a 3-D body by three pairs of symmetrical conical surfaces. The body has a hollow sphere inside with three main axes coincided with the axes of each pair. The elements are a result of splitting by the conical surfaces and comprise outer and inner junction means providing two adjacent elements sliding with respect to each other. There are three types of elements with orientation means: six polar, twelve median and eight triangular elements. The elements adjacent to one conical surface comprise key open means providing elements move apart. The goal of the three-dimensional puzzle is to put the body in right order by 90 degrees rotations of elements spaced from one side of conical surfaces, to the initial ordered orientation, where the body can be separated for two parts providing access to the space located inside the hollow sphere.