Abstract: A puzzle having elements which are rotatable on a spherical core in groupings of eight in increments of forty-five degrees along any one of three mutually perpendicular zones, the puzzle including a spherical core; eight tongued-on-each-edge equilateral triangular tiles of spherical curvature whose sides are slightly less than forty-five degrees in length and which are fixedly bonded to the core at the vertices of an inscribed cube; eighteen grooved-on-each-edge equilateral quadrilateral tiles of spherical curvature whose sides are the same length as the triangular tiles, the quadrilateral tiles movable about the core in zonal groupings of eight but held to the core by the tongues of the triangular tiles projecting into the grooves of the quadrilateral tiles.

Abstract: A puzzle corresponding to a regular icosahedron in which the twenty faces of the icosahedron are detached yet movable, the puzzle including a spherical core; twelve mushroom-shaped holding pins extending from the core individually at locations corresponding to icosahedral vertex points and having a head spaced from the core; a plurality of turning elements extending between adjacant holding pins and slidably engaged between the heads and the core for pivotal movement in multiple of seventy-two degree rotation about a selected one of such adjacent holding pins; and a plurality of exterior plates fixedly and individually mounted on the turning elements for pivotal movement with the turning elements, the exterior plates having varigated surfaces which can be brought by a succession of movements into a preferred arrangement after having been scrambled by rotation about various axes. The exterior plates of the puzzle corresponding to the faces of the icosahedron.