Patent ID: 8061713

Claim:
A geometric puzzle comprising: twelve “P” type components being derived by notionally dividing a regular pyramid with a square base and having edges of equal length into twelve equal parts, each “P” type component having two faces that are right-angled triangles and two faces that are isosceles triangles; and twelve “T” type components being derived by notionally dividing a regular tetrahedron having edges of equal length into twelve equal parts, each “T” type component having two faces that are right-angled triangles and two faces that are isosceles triangles; wherein: one face of each “P” type component is identical to one face of each “T” type component; each face of each component has magnets embedded therein to permit the components to be releasably mated to form composite shapes; each isosceles triangle face of both the “P” type components and the “T” type components have two magnets being placed on either side of and equidistant from a line of symmetry from the vertex of each isosceles triangle; each right-angled triangle face of each “P” type component has two magnets being placed on either side of and equidistant from a line 90 degrees from the midpoint of the hypotenuse of each right-angled triangle of each “P” type component; each right-angled triangle face of each “T” type component has two magnets being placed on one side of a line 90 degrees through the midpoint of the second longest side of each “T” type component toward the right angle of the triangle; and the poles of each magnet being chosen such that: identical faces of each “P” type component can releasably mate with one another; identical faces of each “T” type component can releasably mate with one another; the one face of the “P” type component that is identical to one face of a “T” type component can releasably mate with one another to form a space packer tetrahedron; and one isosceles triangle face of a first space packer tetrahedron and one isosceles triangle face of a second space packer tetrahedron can releasably mate to form a composite tetrahedron and another isosceles triangle face of the first space packer tetrahedron and another isosceles triangle face of the second space packer tetrahedron can releasably mate to form a mirror image of the composite tetrahedron; and wherein each of the twelve “P” type components and each of the twelve “T” type components can be assembled to form both a cube and a hexagon.