Polyhedral puzzle

A polyhedral puzzle comprising a central body, of regular polyhedron shape, having faces defined by congruent regular polygons, as many intermediate bodies as there are central body faces, and each of frustum shape defining a base face of the same congruent regular polygon shape as the central body faces and defining equally-inclined lateral faces of isosceles-trapezoidal shape, the base face of each intermediate body resting over a respective central body face, pivot means pivoting the center of the base face of each intermediate body to the center of a respective central body face, said intermediate bodies rotatable relative to said central body to a position in which each edge of the base face of said intermediate body coincides with a respective edge of said central body, as many external bodies as there are lateral faces of said intermediate bodies, each external body being of tetrahedron shape forming a pair of base surfaces and a pair of lateral faces, said base surfaces being inclined relative to each other and meeting at a common straight edge, said straight edge being positioned over a respective one of each edge of the central body in said rotated position of said intermediate bodies with the two base faces of each external body respectively engaging over a pair of lateral faces defined by a pair of adjacent intermediate bodies, respectively, said lateral faces of said external bodies being co-planar with the respective lateral faces of adjacent intermediate bodies in said rotated position, and a circular slideway system slidably connecting each external body rotatably onto the corresponding pair of adjacent intermediate bodies, each circular slideway system being coaxial with a respective pivot means of said intermediate bodies on said external body and including circular groove segments and projections slidably retained in said groove segments and formed at the lateral faces of said intermediate bodies and on said base surfaces of said external bodies, each external body being capable of rotation with respect to said central body about the pivot axis of either one of two adjacent intermediate bodies.