Classifications

• • A—HUMAN NECESSITIES
  • A63—SPORTS; GAMES; AMUSEMENTS
  • A63F—CARD, BOARD, OR ROULETTE GAMES; INDOOR GAMES USING SMALL MOVING PLAYING BODIES; VIDEO GAMES; GAMES NOT OTHERWISE PROVIDED FOR
  • A63F9/00—Games not otherwise provided for
  • A63F9/06—Patience; Other games for self-amusement
  • A63F9/12—Three-dimensional [3D] jig-saw puzzles
• • A—HUMAN NECESSITIES
  • A63—SPORTS; GAMES; AMUSEMENTS
  • A63F—CARD, BOARD, OR ROULETTE GAMES; INDOOR GAMES USING SMALL MOVING PLAYING BODIES; VIDEO GAMES; GAMES NOT OTHERWISE PROVIDED FOR
  • A63F9/00—Games not otherwise provided for
  • A63F9/06—Patience; Other games for self-amusement
  • A63F9/12—Three-dimensional [3D] jig-saw puzzles
  • A63F9/1208—Connections between puzzle elements
• • A—HUMAN NECESSITIES
  • A63—SPORTS; GAMES; AMUSEMENTS
  • A63F—CARD, BOARD, OR ROULETTE GAMES; INDOOR GAMES USING SMALL MOVING PLAYING BODIES; VIDEO GAMES; GAMES NOT OTHERWISE PROVIDED FOR
  • A63F9/00—Games not otherwise provided for
  • A63F9/06—Patience; Other games for self-amusement
  • A63F9/08—Puzzles provided with elements movable in relation, i.e. movably connected, to each other
  • A63F9/088—Puzzles with elements that are connected by straps, strings or hinges, e.g. Rubik's Magic
• • A—HUMAN NECESSITIES
  • A63—SPORTS; GAMES; AMUSEMENTS
  • A63F—CARD, BOARD, OR ROULETTE GAMES; INDOOR GAMES USING SMALL MOVING PLAYING BODIES; VIDEO GAMES; GAMES NOT OTHERWISE PROVIDED FOR
  • A63F9/00—Games not otherwise provided for
  • A63F9/06—Patience; Other games for self-amusement
  • A63F9/12—Three-dimensional [3D] jig-saw puzzles
  • A63F9/1208—Connections between puzzle elements
  • A63F2009/1212—Connections between puzzle elements magnetic connections

Definitions

• the present disclosure relates to the field of toys and puzzles.
• Puzzles have enjoyed cross-generational appeal as games, toys, teaching aids, therapy devices, and the like. Such puzzles may be configured between different geometric configurations as shown in, e.g., UK Patent Application No. GB 2,107,200 to Asano and U.S. Patent No. 6,264,199 Bl to Schaedel. As taught in the prior art, the properties of any particular polyhedral puzzle are highly specific to the geometry and hinging arrangements of that specific puzzle.
• the folding puzzle taught in Schaedel teaches a folding puzzle consisting of twenty-four identical isosceles tetrahedron bodies, each being formed of four triangular faces having angles of approximately 70.53°, 54.74°, and 54.74°. The tetrahedrons are joined to each other at their base (longest) edges and can be manipulated into a rhombic dodecahedron in “many different ways.”
• each of the first puzzle and the second puzzle include a plurality of polyhedral modules, or polyhedrons, connected by hinges in a continuous loop.
• each polyhedron of the plurality of polyhedrons has four faces and six edges.
• each edge of the six edges has a relative side length of one unit, two units, the square root of two units ( (2) units), or the square root of three units ( (3) units).
• Each polyhedron of the plurality of polyhedrons has a plurality of magnets.
• at least one, two, three, or four faces have at least one magnet of the plurality of magnets disposed adjacent thereto.
• a puzzle kit includes a first puzzle and a second puzzle.
• Each of the first puzzle and the second puzzle includes a plurality of polyhedrons connected by hinges in a continuous loop, and each polyhedron includes four faces and six edges, and at least one magnet disposed adjacent to at least one face of the four faces.
• a first assembly of the first puzzle and the second puzzle forms a cube, wherein in the first assembly, the first puzzle magnetically couples with the second puzzle.
• a first assembly of the first puzzle and the second puzzle may form a convex polyhedron, wherein in the first assembly, the first puzzle magnetically couples with the second puzzle.
• the first puzzle and the second puzzle are in congruent configurations.
• the plurality of magnets of every alternating polyhedron of the continuous loop may have a first polarity, and the plurality of magnets of every remaining polyhedron of the continuous loop may have an opposite second polarity.
• the convex polyhedron may be a cube.
• a second assembly of the first puzzle and the second puzzle may form a concave polyhedron, wherein in the second assembly, the first puzzle magnetically couples with the second puzzle.
• the concave polyhedron may be characterized by a hexagonal profile and six peaks.
• the first puzzle and the second puzzle may not be in congruent configurations.
• a third assembly of the first puzzle and the second puzzle may form the concave polyhedron, wherein in the third assembly, the first puzzle and the second puzzle may be in congruent configurations, wherein in the third assembly, the first puzzle magnetically couples with the second puzzle.
• each polyhedron may include (e.g., consist of) a first edge having an edge length of two units, a second edge and a third edge having an edge length of the square root of three units ( (3) units), a fourth edge and a fifth edge having an edge length of the square root of two units ( (2) units), and a sixth edge having an edge length of one unit.
• each polyhedron of the plurality of polyhedrons may have a tetrahedron shape.
• each polyhedron of the plurality of polyhedrons may be congruent with each other polyhedron of the plurality of polyhedrons.
• the plurality of polyhedrons may consist of twelve polyhedrons connected by the hinges in the continuous loop.
• the hinges may comprise bridging strips, each bridging strip extending from one polyhedron of the plurality of polyhedrons to an adjacent polyhedron of the plurality of polyhedrons.
• each of the hinges may connect one of the six edges of one polyhedron of the plurality of polyhedrons to an identical edge of the six edges of another polyhedron of the plurality of polyhedrons.
• each of the hinges may connect a first polyhedron of the plurality of polyhedrons to a second polyhedron of the plurality of polyhedrons such that a first face of the six faces of the first polyhedron is configured to reversibly abut a first face of the six faces of the second polyhedron, wherein the at least one magnet disposed adjacent to the first face of the first polyhedron has an opposite polarity to the at least one magnet disposed adjacent to the first face of the second polyhedron.
• each of the hinges may connect the first polyhedron to the second polyhedron such that a second face of the six faces of the first polyhedron is configured to toggle about the bridging strip to abut a second face of the six faces of the second polyhedron, wherein the at least one magnet disposed adjacent to the second face of the first polyhedron has an opposite polarity to the at least one magnet disposed adjacent to the second face of the second polyhedron.
• the first polyhedron may be connected by another bridging strip to a third polyhedron of the plurality of polyhedrons such that a third face of the six faces of the first polyhedron is configured to toggle about the another bridging strip to abut a fourth face of the six faces of the third polyhedron, wherein the at least one magnet disposed adjacent to the third face of the first polyhedron has an opposite polarity to the at least one magnet disposed adjacent to the fourth face of the third polyhedron.
• the first polyhedron may be connected by the another bridging strip to third polyhedron such that a fourth face of the six faces of the first polyhedron is configured to toggle about the another bridging strip to abut a third face of the six faces of the third polyhedron, wherein the at least one magnet disposed adjacent to the fourth face of the first polyhedron has an opposite polarity to the at least one magnet disposed adjacent to the third face of the third polyhedron.
• the first face of the first polyhedron may be congruent with the first face of the second polyhedron and the second face of the first polyhedron may be congruent with the second face of the second polyhedron.
• FIG. 1 A illustrates a puzzle kit according to a representative embodiment of the present disclosure.
• FIG. IB illustrates the puzzle kit of FIG. 1A in a first assembly.
• FIG. 2 illustrates a perspective view of a puzzle of a puzzle kit, according to a representative embodiment of the present disclosure.
• FIG. 3 is a schematic representation of the geometry of a polyhedron of the puzzle of FIG. 2.
• FIG. 4A illustrates a perspective view of the puzzle of FIG. 2 in a first configuration.
• FIG. 4B illustrates a top plan view thereof.
• FIG. 4C illustrates a front elevation view thereof.
• FIG. 4D illustrates a right elevation view thereof.
• FIG. 5 A illustrates a perspective view of the puzzle kit of FIG. 1A in a first assembly.
• FIG. 5B illustrates a top plan view thereof.
• FIG. 5C illustrates a front elevation view thereof.
• FIG. 5D illustrates a right elevation view thereof
• FIG. 6 A illustrates a perspective view of the puzzle kit of FIG. 1A in a second assembly.
• FIG. 6B illustrates a top plan view thereof.
• FIG. 6C illustrates a front elevation view thereof.
• FIG. 6D illustrates a right elevation view thereof
• FIG. 7A illustrates a perspective view of the puzzle kit of FIG. 1A in a third assembly.
• FIG. 7B illustrates a top plan view thereof.
• FIG. 7C illustrates a front elevation view thereof.
• FIG. 7D illustrates a right elevation view thereof.
• each puzzle may have the same construction as the other puzzle(s) of the kit.
• Each puzzle is formed of hingedly connected polyhedrons, each of which has particular geometric characteristics. Further, each of the polyhedrons is hingedly connected to other polyhedrons of the puzzle and optionally has structural features which enable unique functionality and/or exhibit unique properties of the puzzle.
• the puzzle kits may include more than two puzzles, e.g., three, four, or more puzzles.
• the puzzles of each kit have a number of solid polyhedral modules or bodies hingedly joined in a continuous loop.
• the puzzles can be manipulated into many different configurations of visual and tactile interest.
• the polyhedrons are configured to be manipulated about a ring axis of the continuous loop (i.e., turning the puzzle inside out) and/or toggled about hinging means (e.g., bridging strips) connecting adjacent polyhedrons.
• hinging means e.g., bridging strips
• the specific geometry of the polyhedrons and the specific hinged relationships defined by the bridging strips enable the puzzles to be manipulated into numerous different geometric configurations.
• a plurality of magnets having complementary polarities are disposed throughout the puzzle.
• said magnets stabilize the puzzle in numerous configurations and assemblies.
• FIG. 1A illustrates a puzzle kit 100 (hereinafter, kit 100) according to a representative embodiment of the present disclosure.
• kit 100 includes at least two magnetized puzzles 102a, 102b, each of which is formed of a plurality of polyhedrons connected by hinges in a continuous loop.
• the puzzles 102a, 102b are the same except in some embodiments for different surface treatments to impart a different appearance (as shown in FIG. 1 A). That is, the construction, geometry, and dimensions of the puzzles 102a, 102b are the same.
• the puzzles 102a, 102b have different surface treatments; however, this is optional.
• Each of the puzzles 102a, 102b can be independently configured into a multitude of configurations which are enabled by the geometry of the individual polyhedrons, the positioning of the hinges between the polyhedrons, and the position and polarity of magnets disposed within or upon the polyhedrons. Such details will be described below.
• each puzzle 102a, 102b enables the two puzzles 102a, 102b to be joined in assemblies which have a number appealing properties.
• the two puzzles 102a, 102b are manipulated by a user into the congruent convex polyhedral configurations shown in FIG. 1 A (each being a nonahedron)
• the puzzles 102a, 102b can be rotated by ninety degrees relative to each other and then placed together to form the convex polyhedron of FIG. IB.
• the placement and polarization of magnets in each of the puzzles 102a, 102b causes the mutual attraction of the puzzles 102a, 102b.
• This mutual attraction represented by magnetic field 160
• magnetic field 160 magnetically stabilizes the assemblies. Representative magnet placements are described below, and it shall be appreciated that the magnetic field 160 shown in FIG. 1 A are representative and not intended to limit the placement or polarity of magnets within or upon puzzles 102a, 102b.
• the puzzles 102a, 102b of FIG. 1A are joined together and magnetically stabilized in a first assembly which is a convex polyhedron, and more particularly, a cube. Not only does the cube assembly have a pleasing symmetry and density, but it is ideal for packaging the kit 100.
• assembly comprises two or more puzzles.
• the kit 100 can be manipulated into numerous additional assemblies, a representative selection of which are described below.
• a plurality of the puzzles can be combined to form a rhombic dodecahedron assembly.
• the kit 100 has the unique property that its puzzles may be configured into two assemblies which have a congruent shape, but wherein the individual puzzles in the first assembly have configurations that differ from the configurations of the puzzles in the second assembly. See FIG. 6A - FIG. 7D, described below.
• FIG. 2 shows one transformational puzzle (hereinafter a puzzle 202) of a puzzle kit, e.g., the kit 100 of FIG. 1.
• the puzzle 202 is the same, i.e., has the same geometry, dimensions, and construction, as both puzzles 102a, 102b of the puzzle kit 100 of FIG. 1A.
• the puzzle 202 includes a plurality of polyhedrons 204a - 2041 coupled together in a continuous loop around loop axis 208.
• Each of the polyhedrons 204a - 2041 is a solid body, optionally having a cavity formed therein, and may be formed from a thermoplastic polymer (e.g., PLA) or other rigid material.
• a thermoplastic polymer e.g., PLA
• polyhedrons described herein are not limited to bodies which are completely solid.
• one or more of the polyhedrons may be hollow i.e., having a cavity therein) and may have one or more cut-outs from its volume.
• the polyhedrons 204a - 2041 are hingedly coupled together in a series (e.g., a continuous loop) by hinges 206a - 2061 in an end-to-end configuration.
• each of the polyhedrons 204a - 2041 is provided with at least one magnet; together, the magnets stabilize the puzzle 202 in various configurations of visual and tactile appeal, such as the configuration detailed in FIGS. 4A - 4D.
• the puzzle 202 may be positioned into numerous different configurations.
• the figures illustrate representative and non-limiting composite configurations into which the puzzle 202 may be manipulated, including various regular polyhedrons, irregular polyhedrons, convex polyhedrons, concave polyhedrons, and other polyhedron types.
• the polyhedrons 204a - 2041 may be manipulated in different sequences comprising one or more of the following steps:
• the puzzle 202 of the present disclosure utilizes a unique combination of specific geometry and magnets that stabilize the puzzle 100 in myriad different shapes.
• Puzzle 202 is formed of a continuous loop of twelve hingedly connected identically- shaped (z.e., congruent) polyhedrons 204a - 2041, wherein each polyhedron is a tetrahedron. Each polyhedron is hingedly connected to two adjacent polyhedrons along the loop axis 208 by two of the hinges 206a - 2061, each hinge extending from one polyhedron to at least one of the adjacent polyhedrons. It shall be appreciated that the present disclosure is not limited to puzzles having twelve polyhedrons. In some embodiments, each of the polyhedrons 204a - 2041 is subdivided into two or more polyhedrons, resulting in twenty-four or thirty-six polyhedrons connected in the continuous loop by hinges.
• the term “congruent” means that two geometric figures (such as two polyhedrons of a single puzzle, or such as the overall shape of an assembly of two puzzles) are identical in shape and size. This includes the case when one of the geometric figures is a mirror image of the other.
• the twelve polyhedrons include a first set of polyhedrons (z.e., polyhedrons 204a, c, e, g, i, k) having a first orientation and a second set of polyhedrons (z.e., polyhedrons 204b, d, f, h, j, 1) having a different second orientation.
• first orientation of polyhedrons are represented as type “1,” and the second orientation of polyhedrons are represented as type “2,” then the polyhedrons 204a - 2041 are connected in the following sequence, beginning with polyhedron 204a: 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2.
• the first orientation and the second orientation are mirror images of each other, such that the hinges 206a- 2061 each hingedly connect one edge of a polyhedron having the first orientation to an identical edge of another polyhedron having the second orientation. Accordingly, the hinges are disposed in two different types of locations (discussed below). Furthermore, the two hinges of each polyhedron are perpendicular to each other, which advantageously enables the puzzle 202 to achieve configurations having right angle, such as the configuration of FIG. 1A.
• FIG. 3 is a two dimensional projection of one of the congruent polyhedrons 204a of FIG. 2 and describes the specific geometry thereof.
• the polyhedron has four faces 210, 212, 214, 216, and six edges 218, 220, 222, 224, 226, 228.
• the following edges form perpendicular edge pairs: edges 218 and 228, edges 224 and 228, and edges 226 and 228.
• each edge is dictated by legend 250.
• the faces 212, 214, and 216 are right triangles, and the face 210 is an isosceles triangles (edge 220 and edge 222 have an equal length).
• Legend 250 describes the relationship between different side lengths of the polyhedron. Edges labeled with the circle symbol have a length of one unit, which may be scaled up or down in different embodiments. Regardless of the numerical value of the unit ("•"), the relative relationships between the different edges remain constant between different embodiments. Restated, regardless of the numerical value of the unit length edges labeled with the plus symbol “+” have a length equal to 2 times the unit length, edges labeled with a triangle symbol “ A” have a length equal to the square root of two times the unit length (z.e., (2)(unit length)), and edges labeled with a square symbol have a length equal to the square root of three times the unit length (z.e., (3)(unit length)).
• the edge has a length equal to 100mm
• the “+” edge has a length equal to 200mm
• each edge has a length equal to 100 (3)mm.
• the relative lengths of the six edges may be critical to the puzzle achieving the different configurations shown and described herein.
• the puzzle 202 includes hinges 206a - 2061, each of which connects two adjacent of the polyhedrons 204a - 2041.
• the hinges 206a - 2061 flexibly join adjacent polyhedrons 204a - 2041, enabling reversible toggling of the joined polyhedrons such that different faces selectively abut each other.
• the hinges are positioned at two different types of locations.
• a first type of location (exemplified by 206a, 206c, 206e, 206g, 206i, and 206k)
• the hinge flexibly joins the edges 218 of adjacent polyhedrons (which have a mirror image orientation relative to each other).
• the second type of location (exemplified by hinges 206b, 206d, 206f, 206h, 206j, and 2061)
• the hinge flexibly joins the edges 228 of adjacent polyhedrons. Because edges 218 and 228 are perpendicular, successive hinges are also perpendicular to each other.
• each hinge in the first type of location hingedly connects a first polyhedron to an adjacent second polyhedron such that the face 210 of the first polyhedron is configured to reversibly abut the face 210 of the adjacent second polyhedron, and further such that the face 212 of the first polyhedron is configured to reversibly abut the face 212 of the adjacent second polyhedron.
• each hinge in the second type of location hingedly connects a first polyhedron to an adjacent second polyhedron such that the face 214 of the first polyhedron is configured to reversibly abut the face 216 of the adjacent second polyhedron, and further such that the face 216 of the first polyhedron is configured to reversibly abut the face 214 of the adjacent second polyhedron.
• Each of polyhedrons 204a - 2041 is coupled to two adjacent polyhedrons. Specifically, each polyhedron is connected to one adjacent mirror image polyhedron at its edge 218 by a first hinge in the first type of location, and to another adjacent mirror image polyhedron at its edge 228 by a second hinge in the second type of location. In this way, each polyhedron can be toggled relative to each adjacent and hingedly coupled polyhedron.
• the hinges are arranged about the loop axis 208 of the polyhedron 204a in the same ordered sequence as the polyhedrons introduced above, z.e., in the first type location, in the second type location, in the first type location, and so on.
• the hinges may be adhesive or tape-type bridging strips adhesively joined with adjacent faces of the polyhedrons.
• each of the hinges is a decal or sticker applied to the faces of at least two adjacent polyhedrons such that the hinge extends from one of the polyhedrons directly to another polyhedrons.
• each hinge of FIG. 2 connects two adjacent polyhedrons
• one or more hinges may connect more than two polyhedrons.
• a single continuous decal may be applied to more than two polyhedrons.
• the hinges are formed integrally with the polyhedrons (e.g., living hinges) and extend directly from one of the modules to an adjacent module.
• the hinges may be formed as a flexible polymer strip of a same or similar material as the outer shell of the module. Representative hinges of this configuration are detailed in U.S. Patent No. 11,358,070 to Aberg, which is herein incorporated by reference in its entirety.
• the hinges are formed as one or more internal flexible connection strips (e.g., of a thin flexible polymer or textile) extending between adjacent modules and configured to be anchored within internal cavities of adjacent polyhedrons.
• Representative hinges of this configuration are detailed in PCT Publication No. WO 2022/130285 to Hoenigschmid, which is herein incorporated by reference in its entirety.
• more than one hinge may extend between adjacent edges of adjacent polyhedrons.
• the foregoing hinge structures are representative, not limiting.
• each polyhedron includes a plurality of magnets 230, 232, 234, 236 that are positioned and polarized such that each polyhedron is configured to magnetically couple with a plurality of other polyhedrons, thereby stabilizing the polyhedron 204a in any one or more of the configurations shown and described herein.
• at least one magnet is provided on or within each polyhedron at a location and with a polarity selected to magnetically couple with at least one magnet of an opposite polarity positioned on another polyhedron, e.g., when the puzzle 202 is manipulated into different configurations.
• At least one magnet of the plurality of magnets is disposed adjacent to each of the faces 210, 212, 214, 216 of the polyhedron, e.g., such that the magnetic field of each magnet extends through the adjacent face with sufficient force to magnetically couple with an alike magnet of opposite polarity disposed adjacent to an opposite surface of the face.
• the concept described herein is not limited to embodiments having four magnets.
• more than one magnet is disposed adjacent to each face such that each polyhedron has five, six, seven, or eight total magnets.
• each polyhedron is not provided with a magnet; in such embodiments, each polyhedron may have one, two, three, four, or more magnets.
• each polyhedron is provided with magnets 230, 234, 236, but not magnet 232.
• each polyhedron is provided with magnets 230, 232, 234, but not magnet 236.
• each polyhedron is provided with magnets 230, 232, 236, but not magnet 234.
• each polyhedron is provided with magnets 232, 234, 236 but not magnet 230.
• each polyhedron is provided with a single magnet.
• the puzzle 202 includes twelve, twenty-four, thirty-six, forty-eight, or more magnets.
• each magnet is embedded in each face, e.g., in a recess formed in the face itself.
• each magnet may be disposed within an interior cavity of each polyhedron and positioned sufficiently near the relevant face such that the magnetic field of the magnet extends through said face.
• each magnet may be held within in a groove, slot, and/or track disposed within the cavity.
• one or more of the magnets may be positioned within a cradle, such as a cradle disposed near a vertex of the edges of the polyhedron, such that the magnetic field from the magnet extends through more than one face of the polyhedron.
• the magnets are positioned and polarized such that each polyhedron is configured to magnetically couple with each of the two polyhedrons to which it is adjacently coupled by hinges.
• the plurality of magnets of every other/alternating polyhedron in the continuous loop e.g., the first, third, fifth, etc.
• the plurality of magnets of every remaining polyhedron in the continuous loop e.g., the second, fourth, sixth, etc.
• a different polarity e.g., positive
• the plurality of magnets of every alternating polyhedron of the continuous loop have a first polarity, and wherein the plurality of magnets of every remaining polyhedron of the continuous loop have an opposite second polarity.
• each of the magnets 230, 232, 234, and 236 has a positive polarity; however, in other embodiments, all such magnets could be negative.
• each magnet of a single polyhedron it is not necessary for every magnet of a single polyhedron to have a single common polarity. Rather, it is important that each magnet has an opposite polarity from the magnet(s) of the other polyhedrons to which it is configured to magnetically couple.
• the configuration in the previous paragraph is one representative configuration to achieve this. However, there are other configurations.
• each of the hinges connects a first polyhedron to a second polyhedron along the edge 218 such that the face 210 of the first polyhedron is configured to reversibly abut the face 210 of the second polyhedron
• the magnet 230 disposed adjacent to the face 210 of the first polyhedron has an opposite polarity to the magnet 230 disposed adjacent to the face 210 of the second polyhedron.
• the magnet 232 disposed adjacent to the face 212 of the first polyhedron has an opposite polarity to the magnet 232 disposed adjacent to the magnet 232 of the second polyhedron.
• each of the hinges connects a first polyhedron to a second polyhedron along the edge 228 such that the face 214 of the first polyhedron is configured to reversibly abut the face 216 of the second polyhedron and such that the face 216 of the first polyhedron is configured to reversibly abut the face 214 of the second polyhedron
• the magnet 234 disposed adjacent to the face 214 of the first polyhedron has an opposite polarity to the magnet 236 disposed adjacent to the face 216 of the second polyhedron
• the magnet 236 disposed adjacent to the magnet 236 of the first polyhedron has an opposite polarity to the magnet 234 disposed adjacent to the face 214 of the second polyhedron.
• FIG. 4A - FIG. 4D show the puzzle 202 of FIG. 2 in a convex polyhedron configuration, which is the same nonahedron configuration shown in FIG. 1 A.
• the puzzle 202 comprises twelve polyhedrons, each of which is provided with a plurality of magnets.
• the magnets shown in FIG. 4A - FIG. 4D are placed according to the diagram of FIG. 3. That is, each of the polyhedrons comprises at least one magnet disposed adjacent to each face thereof, and each magnet of each polyhedron has a same polarity. In the illustrated embodiment, successive polyhedrons are provided with magnets of opposite polarities.
• outermost surfaces the puzzle 202 include a number of magnets having mixed polarities.
• two alike puzzles 202 are provided. Each puzzle 202 is configured into the configuration of FIG. 4A - FIG. 4D. The puzzles 202 are respectively positioned as shown in FIG. 1 A. One of the puzzles 202 may be rotated by one hundred eighty degrees such that the polarities of its magnets oppose the polarities of the corresponding magnets of the other puzzle. The puzzles 202 are then placed together and magnetically secured in the assembly of FIG. IB.
• FIG. 5 A - FIG. 5D illustrate views of the kit 100 of FIG. IB in the first assembly of the puzzles 102a, 102b, which is a convex polyhedron, and more particularly, a cubic hexahedron, z.e., or a cube.
• Each of the puzzles 102a, 102b has the nonahedron configuration detailed with respect to FIG. 4A- FIG. 4D.
• FIG. 6A - FIG. 6D illustrate views of the kit 100 of FIG. IB in a second assembly of the puzzles 102a, 102b.
• the puzzle 102a is configured into a concave dodecahedron which is enclosed in a ring formed by the puzzle 102b ⁇ see hexagonal profile of FIG. 6B).
• the first puzzle and the second puzzle are not congruent.
• the second assembly is itself a concave polyhedron characterized by a hexagonal profile see FIG. 6B) and three primary peaks 162a - 162c opposing three secondary peaks 162d - 162e.
• the puzzle 102b forms each of the six peaks 162a - 162d because it encloses the circumferential surfaces of the puzzle 102a.
• the magnets of puzzle 102a attract the magnets of adjacent faces of puzzle 102b, thereby magnetically stabilizing the kit 100.
• FIG. 7A - FIG. 7D illustrate views of the kit 100 of FIG. IB in a third assembly of the puzzles 102a, 102b.
• each of the puzzles 102a, 102b are configured into a congruent concave polyhedron having a hexagonal profile ⁇ see FIG. 7B) and forming six peaks 162a - 162f (only the peaks formed by puzzle 102b are shown in FIG. 7 A - FIG. 7D).
• the puzzles 102a, 102b (in their congruent configurations) are rotated thirty degrees relative to each other and then placed together to achieve the third assembly.
• the magnets of puzzle 102a attract the magnets of adjacent faces of puzzle 102b, thereby magnetically stabilizing the kit 100.
• the second assembly and the third assembly are congruent. Accordingly, the kit 100 has the unique property of being able to achieve congruent assemblies utilizing puzzles having different configurations. This property adds the new functionality of being configurable into a same magnetically stabilized assembly of two or more puzzles in more than one way, presenting added challenge for the user.

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