Geometric puzzle

Abstract

A magnetic puzzle includes six first toy members formed as polyhedrons and six second toy members formed as polyhedrons. Each first toy member is movably couplable to another first toy member by a first hinged connection, each second toy member is movably couplable to another second toy member by a second hinged connection, and each first toy member is movably couplable to one of the second toy members by a third hinged connection, the six first toy members and the six second toy members being movable about the hinged connections to form at least two different configurations. The magnets of each first toy member and each second toy member are configured to magnetically stabilize the six first toy members and the six second toy members in the at least two different configurations.

1 .- 20 . (canceled) 
     
     
         21 . A magnetic puzzle, comprising:
 six first toy members formed as polyhedrons, each first toy member comprising a first face, a second face, a third face, a fourth face, and three or more first magnets; and   six second toy members formed as polyhedrons, each second toy comprising a first face, a second face, a third face, a fourth face, and three or more second magnets,   wherein each first toy member is movably couplable to another first toy member by a first hinged connection, each second toy member is movably couplable to another second toy member by a second hinged connection, and each first toy member is movably couplable to one of the second toy members by a third hinged connection, the six first toy members and the six second toy members being movable about the hinged connections to form at least two different configurations,   wherein the three or more first magnets of each first toy member and the three or more magnets of each second toy member are configured to magnetically stabilize the six first toy members and the six second toy members in the at least two different configurations, and   wherein, in a first configuration of the at least two configurations, at least some of the three or more first magnets of each first toy member and at least some of the three or more second magnets of each second toy member are configured to magnetically couple each first toy member with the second toy member to which the first toy member is movably couplable by the third hinged connection, but not with the other first toy member to which the first toy member is movably couplable by the first hinged connection.   
     
     
         22 . The magnetic puzzle of  claim 21 , wherein, in the first configuration, each first toy member magnetically couples with the third face of the second toy member to which the first toy member is movably couplable by the third hinged connection. 
     
     
         23 . The magnetic puzzle of  claim 21 , wherein each polyhedron of the six first toy members and the six second toy members is a tetrahedron comprising six edges. 
     
     
         24 . The magnetic puzzle of  claim 23 , wherein the first hinged connection couples a first edge of the first toy member with a first edge of the other first toy member, the second hinged connection couples a second edge of the second toy member with a second edge of the other second toy member, and the third hinged connection couples a second edge of the first toy member with a first edge of the second toy member. 
     
     
         25 . The magnetic puzzle of  claim 23 , wherein each tetrahedron comprises a first edge with a length of one unit, a second edge with a length of one unit, a third edge with a length of the square root of two (√2) units, a fourth edge with a length of one-half the square root of three (√3/2) units, a fifth edge with a length of one-half the square root of three (√3/2) units, and a sixth edge with a length of one-half the square root of three (√3/2) units. 
     
     
         26 . The magnetic puzzle of  claim 21 , wherein the at least two different configurations comprise a parallelepiped configuration and a hexagram configuration. 
     
     
         27 . The magnetic puzzle of  claim 26 , wherein the parallelepiped configuration is a cubic configuration. 
     
     
         28 . The magnetic puzzle of  claim 21 , wherein the magnetic puzzle is configured to be magnetically coupled with one or more additional magnetic puzzles to form a magnetic puzzle assembly configurable between a plurality of alternative configurations. 
     
     
         29 . The magnetic puzzle of  claim 21 , further comprising a display support, the display support being configured to support the first toy members and the second toy members relative to a surface. 
     
     
         30 . The magnetic puzzle of  claim 21 , wherein a shape of the first toy member is substantially identical to a shape of the second toy member. 
     
     
         31 . A magnetic puzzle, comprising:
 twelve tetrahedral bodies movably couplable together by hinged connections, wherein each tetrahedral body comprises six edges and four faces and is couplable along two edges of the six edges by hinged connections to two different tetrahedral bodies of the twelve tetrahedral bodies,   wherein each tetrahedral body comprises three or more magnets,   wherein each magnet of each tetrahedral body has a polarity and a position which is configured to magnetically couple with at least one of the magnets of at least one other of the twelve tetrahedral bodies,   wherein the three or more magnets of each of the twelve tetrahedral bodies are configured to magnetically stabilize the twelve tetrahedral bodies in at least two different configurations, and   wherein, in a first configuration of the at least two configurations, at least some of the three or more magnets of each of the twelve tetrahedral bodies are configured to magnetically couple each tetrahedral body with one of the two different tetrahedral bodies to which the tetrahedral body is movably couplable by a hinged connection, but not with the other of the two different tetrahedral bodies to which the tetrahedral body is movably couplable by a hinged connection.   
     
     
         32 . The magnetic puzzle of  claim 31 , wherein each tetrahedron comprises a first edge with a length of one unit, a second edge with a length of one unit, a third edge with a length of the square root of two (√2) units, a fourth edge with a length of one-half the square root of three (√3/2) units, a fifth edge with a length of one-half the square root of three (√3/2) units, and a sixth edge with a length of one-half the square root of three (√3/2) units. 
     
     
         33 . The magnetic puzzle of  claim 31 , wherein the at least two different configurations comprise a parallelepiped configuration and a hexagram configuration. 
     
     
         34 . The magnetic puzzle of  claim 33 , wherein the parallelepiped configuration is a cubic configuration. 
     
     
         35 . The magnetic puzzle of  claim 31 , wherein the magnetic puzzle is configured to be magnetically coupled with one or more additional magnetic puzzles to form a magnetic puzzle assembly configurable between a plurality of alternative configurations. 
     
     
         36 . The magnetic puzzle of  claim 31 , further comprising a display support, the display support being configured to support the twelve tetrahedral bodies relative to a surface. 
     
     
         37 . The magnetic puzzle of  claim 31 , wherein the twelve tetrahedral bodies are movably couplable together by the hinged connections in a loop.