PENTAHEDRAL MODULE PUZZLE
20230347234 · 2023-11-02
Assignee
Inventors
Cpc classification
International classification
Abstract
Pentahedral module puzzles include a plurality of pentahedral modules connected by hinges in a continuous loop. Each pentahedral module comprises at least one magnet. The pentahedral modules include mirror image pentahedral modules connected by the hinges in an alternating sequence.
Claims
1-34. (canceled)
35. A pentahedral module puzzle, comprising: sixteen pentahedral modules connected in a mirror image alternating sequence by a plurality of hinges in a continuous loop, wherein sequential hinges of the plurality of hinges have a perpendicular orientation, wherein each pentahedral module comprises a plurality of magnets.
36. The pentahedral module puzzle of claim 35, wherein each of the sixteen pentahedral modules comprises two isosceles triangle faces.
37. The pentahedral module puzzle of claim 36, wherein for each of the sixteen pentahedral modules, the two isosceles triangle faces are right isosceles triangles.
38. The pentahedral module puzzle of claim 36, wherein for each of the sixteen pentahedral modules, the plurality of magnets comprises four magnets disposed adjacent to a different face of the pentahedral module.
39. The pentahedral module puzzle of claim 38, wherein at least one magnet of the plurality of magnets of each of the sixteen pentahedral modules has a different polarity from at least one magnet of the plurality of magnets of each adjacent pentahedral module in the alternating sequence.
40. The pentahedral module puzzle of claim 36, wherein each of the sixteen pentahedral modules comprises a shell and a cover enclosing a cavity, wherein a first groove is formed in a first interior surface the cavity and receives a first magnet of the plurality of magnets.
41. The pentahedral module puzzle of claim 40, wherein each of the sixteen pentahedral modules comprises a first clamping block extending away from a second interior surface of the cavity, the first clamping block having a magnet abutting surface at a distal end thereof, wherein the magnet abutting surface is positioned adjacent to the first magnet.
42. The pentahedral module puzzle of claim 41, wherein each of the sixteen pentahedral modules comprises a second groove formed in a third interior surface of the cavity, the second groove being at least partially delimited by a holding portion extending away from the third interior surface and holding a second magnet of the plurality of magnets in the second groove.
43. The pentahedral module puzzle of claim 42, wherein each of the sixteen pentahedral modules comprises a second clamping block extending away from the second interior surface of the cavity, wherein the second clamping block extends into the second groove and holds the second magnet in the second groove.
44. The pentahedral module puzzle of claim 43, wherein each of the sixteen pentahedral modules comprises a third groove formed in a fourth interior surface of the cavity, the third groove being at least partially delimited by a second stop block and receiving a third magnet of the plurality of magnets.
45. The pentahedral module puzzle of claim 44, wherein each of the sixteen pentahedral modules comprises a boss on the second interior surface of the cavity, wherein the boss comprises a fourth groove receiving a fourth magnet of the plurality of magnets.
46. The pentahedral module puzzle of claim 35, wherein each of the sixteen pentahedral modules comprises a shell and a cover enclosing a cavity, wherein a first groove formed in a first interior surface the cavity receives a first magnet of the plurality of magnets.
47. The pentahedral module puzzle of claim 46, wherein each of the sixteen pentahedral modules comprises a first clamping block extending away from a second interior surface of the cavity and positioned adjacent to the first magnet.
48. The pentahedral module puzzle of claim 47, wherein each of the sixteen pentahedral modules comprises a second groove formed in a third interior surface of the cavity and holding a second magnet of the plurality of magnets.
49. The pentahedral module puzzle of claim 48, wherein each of the sixteen pentahedral modules comprises a second clamping block extending away from the second interior surface of the cavity and holding the second magnet in the second groove.
50. The pentahedral module puzzle of claim 49, wherein each of the sixteen pentahedral modules comprises a third groove formed in a fourth interior surface of the cavity and receiving a third magnet of the plurality of magnets.
51. The pentahedral module puzzle of claim 50, wherein each of the sixteen pentahedral modules comprises a boss on the second interior surface of the cavity, wherein the boss comprises a fourth groove receiving a fourth magnet of the plurality of magnets.
52. The pentahedral module puzzle of claim 46, wherein each of the sixteen pentahedral modules comprises two isosceles triangle faces.
53. The pentahedral module puzzle of claim 52, wherein for each of the sixteen pentahedral modules, the two isosceles triangle faces are right isosceles triangles.
54. The pentahedral module puzzle of claim 53, wherein for each of the sixteen pentahedral modules, the plurality of magnets comprises four magnets disposed adjacent to a different face of the pentahedral module.
Description
BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS
[0017] Representative embodiments are described with reference to the following figures, wherein alike reference numerals refer to alike parts throughout the various views unless otherwise specified.
[0018]
[0019]
[0020]
[0021]
[0022]
[0023]
[0024]
[0025]
[0026]
DETAILED DESCRIPTION
[0027] The present disclosure provides pentahedral module puzzles (interchangeably referred to as “puzzles” herein) comprising hingedly connected polyhedral modules (e.g., pentahedral modules), each of which has particular geometric characteristics. Each pentahedral module is hingedly connected to two other pentahedral modules of the transformation and optionally has structural features which enable unique functionality and/or exhibit unique properties.
[0028]
[0029] As shown and described herein, the puzzle 100 includes a plurality of pentahedral modules which are flexibly connected by hinges in a continuous loop. This structure enables the puzzle 100 to be manipulated into numerous different configurations. In particular,
[0030] One significant new property of the puzzle 100 is a “scaling” property, i.e., the ability to be manipulated into different multiples of geometrically similar shapes. This property results from the geometry of each module, the number of modules, and the placement of hinges therebetween. For example, in some embodiments, each of the modules has two isosceles triangle faces and wherein sequential hinges of the plurality of hinges have a perpendicular orientation, such that the pentahedral modules can be manipulated into different multiples of geometrically similar shapes.
[0031] For example, as shown in
[0032] Not only is this “scaling” property novel and interesting, but it enables the puzzle 100 to be used as an aid to teach concepts such as logarithms, exponents, and volume. For example, if the single hexahedron 102 represents 2.sup.0, then the set of two hexahedrons 104 represents 2.sup.1 and the set of four hexahedrons 106 represents 2.sup.2. As another example, each of the hexahedron 102, set of two hexahedrons 104, and the set of four hexahedrons 106 have identical volumes (each being formed from a common set of space filling pentahedral modules). Further, the edges of each of the hexahedron 102, set of two hexahedrons 104, and the set of four hexahedrons 106 have the same perimeter.
[0033] To illustrate that the scaling property is not limited to rhombic hexahedrons,
[0034] In some embodiments, each of the plurality of pentahedral modules has two isosceles triangle faces and wherein sequential hinges of the plurality of hinges have a perpendicular orientation, such that the plurality of pentahedral modules can be manipulated into different multiples of geometrically similar shapes.
[0035]
[0036] Still another interesting new property is the ability of the puzzle 100 to achieve the cube 202a more than one different way. That is, the puzzle 100 can achieve the cube 202a in a first way in which the exterior faces of the cube 202a consist of certain faces of the underlying pentahedral modules, and in a second way in which the exterior faces of the cube 202a consist of at least some different faces of the underlying pentahedral modules.
[0037] The foregoing properties and configurations are merely representative of the advantages achieved by the specific geometry and arrangement of pentahedral modules of the puzzle 200, the details of which will now be described.
[0038]
[0039] The representative puzzle 300 includes sixteen modules 330a-p, although other embodiments may include a greater number by splitting one or more of the modules 330a-p into sub-polyhedrons. For example, an embodiment may split each of the modules 330a-p into two separate, complementary polyhedrons which, when combined, have the same pentahedral shape as the individual modules 330a-p. Accordingly, such an embodiment would comprise 32 pentahedrons. In such fashion, the present disclosure also includes puzzles comprising 32, 48, or a greater number of pentahedrons which are a multiple of sixteen.
[0040] The modules 330a-p are hingedly connected by the hinges 332a-p in a continuous loop. Due to the geometry of each module (which is detailed in
[0041] In particular, each of the modules 330a-p is hingedly connected to two adjacent of the modules 330a-p by two of the hinges 332a-p. For example, hinge 332a hingedly connects a first edge of module 330a to the corresponding first edge of mirror image module 330b. Similarly, hinge 332b hingedly connects a second edge of module 330b to the corresponding edge of mirror image 330c.
[0042] The hinges enable the pentahedral modules to be manipulated relative to each other such that the puzzle can achieve different configurations (such as the scaling configurations of
[0043] The pentahedral modules of the puzzles described herein are generally assembled such that the corresponding edges (immediately adjacent edges) of adjacent pentahedral modules abut or have a separation of less than 1 mm, e.g., 0.5 mm. This is evident from
[0044] The hinges 332a-p may take many different forms. In some embodiments, such as shown in
[0045] In other embodiments, the hinges are formed integrally with the modules (e.g., living hinges) and extend directly from one of the modules to an adjacent module. In such embodiments, the hinges may be formed as a flexible polymer strip of a same or similar material as the outer shell of the module. For example, referring to
[0046] In still other embodiments, 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. For example, referring to
[0047] In any embodiment, more than one hinge may extend between adjacent edges of adjacent modules. The foregoing hinge structures are representative, not limiting.
[0048] As an optional feature, each of the modules 330a-p may be provided with one or more magnets which are positioned and polarized (e.g., within a cavity of each module) to stabilize the puzzle 300 in different configurations (such as the scaling configurations shown in
[0049] In
[0050] In
[0051] Representative structure for positioning magnets is described below with respect to
[0052] In
[0053] Further, although
[0054]
[0055] As shown, pentahedral module 430 has five faces 432a-e and nine edges 436a-i, including three rectangular faces 432a-c and two right isosceles triangular faces 432d-e disposed on opposite sides of face 432b. The nine edges 436a-i have two or three edge lengths denoted by legend 434. Specifically, each of the two isosceles triangle faces 432d, 432e (e.g., right isosceles triangular faces) have two edges with length X and one edge with length X√(2). In
[0056] In the depicted embodiment, edges 436g, h, i (indicated by a chevron symbol) also each have an edge length X (like edges 436a, b, c, and d). While these three edges generally have the same edge length X, the relative length of edges 436g, h, i may not equal the length of edges 436a, b, c, and d in other embodiments. As one will appreciate, because edge 436g has the same edge length as edge 436h-i, each of the right isosceles triangle faces 432d-d extend perpendicularly from face 432b (and parallel to each other).
[0057] Comparing
[0058] As previously mentioned, each pentahedral module 430 may optionally be provided with one or more magnets, e.g., utilizing structure described below in
[0059] In some embodiments, at least some of the magnets are positioned adjacent to faces having a hinge connected thereto (as shown in
[0060] In some embodiments, at least some of the magnets are positioned and polarized such that mirror image faces of non hingedly-connected polyhedrons magnetically couple when positioned adjacent to each other. For example, referring briefly to
[0061] Although
[0062]
[0063] The shell 540 is an isosceles triangular prism (e.g., a right isosceles triangular prism) having an open end, an upper plate 544, a lower plate 546 and two side plates 548, 550. The upper plate 544 and lower plate 546 are right isosceles triangles with a bottom angle of 45°. The two side plates 548, 550 connect the upper plate 544 and the lower plate 546 to form the opening, and the cover 542 is sized and configured for installation in the opening. Thus, the upper plate 544, lower plate 546 two side plates 548, 550, and the cover 542 can be assembled together to form the module, the plates, covers, and faces of which define a cavity 552 therein. In other embodiments, any of the faces of the module 530 may be the removable cover.
[0064] The module 530 is provided with a plurality of magnets therein. The structure for retaining magnets adjacent to each of the side plates 548, 550 will now be described.
[0065] In any embodiment, the shell is provided with one or more grooves formed in or on interior surfaces of the cavity, said grooves being at least partially delimited by a stop block and receiving a magnet therein. For example, referring to
[0066] Referring briefly to
[0067] In any embodiment, the shell of each of the sixteen pentahedral modules comprises clamping block extending away from an interior surface of the cavity, the clamping block having a magnet abutting surface at a distal end thereof, wherein the magnet abutting surface is positioned adjacent to the first magnet. For example, referring to
[0068] Clamping block 572a includes a base 574a extending away from an interior surface of the cover plate 570 and a protrusion 576a extending upward from the upper end of the base 574a. A magnet abutting surface 578a (referred to simply as a magnet abutting surface) is provided at a distal end of the clamping block 572a between the protrusion 576a and the upper end of the base 574a. The magnet abutting surface 578a is an inclined plane relative to the cover 542. Each magnet abutting surface 578a, 578b is configured to be positioned adjacent to one of the plurality of grooves of the shell. Similarly, clamping block 572b includes a base 574b, protrusion 576b, and a magnet abutting surface 578b.
[0069] Each groove (e.g., 554 and 566) is thus equipped (or configured to be equipped) with a magnet positioned adjacent to the corresponding face. For example, referring to
[0070] The module 530 of the present disclosure thus forms a first accommodating groove by arranging a clamping block, a limiting block and a groove on the side plate, and the magnet is accommodated therein. Advantageously, this structure facilitates fixing the magnet on the inclined side plate 550 and ensures stability of the magnet 558.
[0071] The structure for retaining magnets adjacent to each of the upper plate 544 and lower plate 546 will now be described.
[0072] In any embodiment, the shell of each of the sixteen pentahedral modules is provided with a groove formed in or on an interior surface of the cavity, said groove being at least partially delimited by a holding portion extending away from the interior surface and holding a magnet in the groove. Referring back to
[0073] As shown best in
[0074] In any embodiment, each of the sixteen pentahedral modules comprises a second clamping block extending away from an interior surface of the cavity, wherein the second clamping block extends into a groove and holds a magnet therein. For example, referring again to
[0075] Advantageously, because the second receiving grooves 564a, 564b and the second clamping blocks 580a, 580b are linear and planar, the two clamping blocks and the grooves can better confine and stabilize the magnets. Further, this design facilitates demolding the mold when the shell 540 and cover 542 are made by injection molding.
[0076] The structure for affixing the cover 542 to the upper plate 544 will now be described.
[0077] Referring to
[0078] As shown best in
[0079] The structure for retaining a magnet adjacent to the cover 542 will now be described.
[0080] Referring to
[0081] Referring to
[0082] Representative embodiments of the invention can be implemented in many different forms and are not limited to the implementations described herein. On the contrary, the purpose of providing these embodiments is to make the disclosure of the present disclosure more thorough and comprehensive.
[0083] It should be noted that when an element is considered to be “connected” to another element, it may be directly connected to the other element or there may be a centered element at the same time. The terms “upper,” “lower,” “side,” “vertical”, “horizontal”, “left”, “right” and similar expressions used herein are for illustrative purposes only.
[0084] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by those skilled in the technical field of the present disclosure. The terminology used in the description of the present disclosure herein is only for the purpose of describing specific embodiments and is not intended to limit the present disclosure. The term “and/or” as used herein includes any and all combinations of one or more related listed items.