Interconvertible soft articles
Robust, soft, interconvertible articles constructed from soft, resilient members, which articles adopt a substantially different geometry upon an interior to exterior interconversion. The articles of the invention provide a significant visual effect and are useful as educational aids, magician's props, and toys.
This is a continuation-in-part application of application Ser. No. 10/151,519, filed May 20, 2002, entitled Interconvertible Soft Articles, by G. Blonder, which application is hereby incorporated herein by reference in its entirety.
1. FIELD OF THE INVENTIONThe invention is directed to interconvertible articles constructed of soft, resilient material for educational use and amusement.
2. BACKGROUND OF THE INVENTIONInterconvertible toys, which interconvert from one geometry to another, promote interest in geometry and provide visual stimulation to children and adults alike. Interconvertible toys that take on a substantially different geometry upon an exterior to interior interconversion are particularly fascinating. When constructed from soft material, interconvertible toys are advantageous because they are safe for small children and easily manipulated. Many prior-art soft, interconvertible toys, however, are limited in complexity of movement and visual effect. With many prior art soft, interconvertible toys, after the child intentionally converts the toy from one geometry to another, the lack of ruggedness or robustness results in the toy flipping geometry under normal playing conditions.
U.S. Pat. No. 5,433,647 (issued Jul. 18 1995) by B. Ciquet (“Ciquet”) discloses soft, interconvertible articles constructed by dissecting a single piece of elastic foam material. Because the article is constructed from a single piece of foam, the variety of visual and mechanical effects is limited. None of Ciquet's articles are both stable and robust. While Ciquet's articles may be interconverted from one geometry to another, disadvantageously, upon such interconversion, stress is concentrated at the interconversion points. Such stress can cause deterioration and eventual failure of the article. Moreover, in many of Ciquet's designs, upon interconversion from a first to a second geometry, there is a build up of internal compressive forces such that the second geometry is not in a zero energy state. Such internal forces may cause the article to spontaneously snap out of the unstable second geometry back into the first geometry. In other examples, Ciquet's articles are unstable, floppy and limp therefore lacking a visually stimulating effect upon interconversion.
U.S. Pat. No. 5,115,528 (issued May 26, 1992) by S. Lamle (“Lamle”) discloses the typical reversible bag- or pillow-type toy where the basic geometry is retained after transformation, but the geometry inside the bag after “stuffing” is greatly distorted. And the geometry outside the bag is not fixed, but changes depending on how the toy was last handled. Such an article lacks the same stimulating visual and geometrically puzzling effects obtained upon a true interconversion.
U.S. Pat. No. 5,310,378 (issued May 10, 1994) by S. Shannon (“Shannon”) discloses toys transformable between open and closed conformations. These toys, however, can only nest appendages into matching recesses and, therefore, lack a substantial visual effect. They are not interconverted or inverted.
In view of the above, there is a need for stable and robust, soft interconvertible articles that provides a significant visual effect upon interconversion. The discussion of references in this Background Section 2 is provided for background purposes only and no assertion, statement, or admission is made regarding the references' prior art status with respect to the invention.
3. SUMMARY OF THE INVENTIONThe invention relates to stable, robust and soft interconvertible articles that take on a substantially different geometries, which are also stable and robust, upon interconversion, to provide a significant, surprising visual effect. Quite startling effects accompany this interconversion, including exchange of colors and textures and up to tripling the exterior surface area. The articles of the invention are useful as educational aids and for amusement, magic tricks, etc. and, thus, provide learning and fun for both children and adults.
In one embodiment, the invention provides an article comprising a first stable and robust geometry in a zero energy state and a plurality of soft, resilient members interconnected by hinge-type connections, wherein the article adopts a second stable and robust geometry in a zero energy state after application of an applied force approximating or approaching an interconversion force.
In a preferred embodiment, when the applied force approaches or approximates the interconversion force, a quantum of stored energy within the article propels the article into the second geometry.
4. BRIEF DESCRIPTION OF THE FIGURESThese and other features, aspects, and advantages of the present invention will become better understood with regard to the following description, appended claims, and accompanying drawings where:
As used herein, the term distortion force means the minimum quantum of force required to distort an object from its original shape and geometry into a different shape and geometry. The value of a distortion force depends on the rigidness and resiliency of the subject article. For example, the distortion force with respect to a sock is much less than the distortion force of a foam-rubber football, and very much less than the distortion force of a glass. It should be noted that when a distortion force is applied to a glass, the glass breaks.
5.1.2 StableAs used herein, the term “stable” with respect to an article means that the article reverts back to its original definite shape after a distortion force is released. In general, articles that are floppy, limp, sagging, or droopy are not stable. For example, a sock is unstable because if distorted at all, for example picked up, it is limp and floppy and when placed back down, it does not revert back to its original shape or geometry. Conversely, a foam rubber cube ottoman is distorted into an oblate sphere when sat upon, but returns to the original cubic shape when the sitter rises. The foam is stable.
5.1.3 RobustAs used herein, the term “robust” with respect to a robust geometry, different from the above definition of “stable”, means that the geometry can be subjected to forces larger than mere distortion forces, such as large compressive forces and spontaneously return to the geometry exhibited before the large force was applied. For example, a rubber kick-ball distorts into a disk when thrown against a wall, but returns to a sphere immediately afterward, even when thrown with extreme force. Thus, a kick ball is “robust”. An article may be stable but not robust, for example, it may be stable enough to be gently examined and rotated by hand, but not stable enough to be thrown against a wall and return to its original geometry.
5.1.4 Robustness versus Stability
E=2V−3.
E is the number of edges, and V is the number of vertices (hinges) in a view perpendicular to the motion. In 142, there are four edges and four hinges, so:
4≠2*4−3
and the Euler Law is not satisfied. In the article of
To further explain the difference between stability and robustness, consider a rectangular article on a table as shown in
A graphical description of the sequence described above is helpful. The graph in
Of course, bricks 911 and 912 could be made robust by adding an additional hinge 914 as seen in 94 of
Finally, consider the soft, interconvertable doll depicted in
As used herein, the phrase “zero energy state” with respect to an article of the invention means that there are little or no internal mechanical stresses (i.e., potential energy) within the article. For example, there is no internal mechanical stress created by rotatable members in an article in a zero energy state. To illustrate this concept,
As used herein, the phrase “interconversion force” with respect to an article of the invention means the mechanical force required to be applied to an article of the invention to interconvert it from a first stable and robust geometry to a second stable and robust geometry.
As used herein, the phrase “hinge-type connection” means any type of flexible connection interconnecting members at their edges. The only requirement is that the connection allow for hinge-type movement of the member, and that the hinge itself can be bent during the transition, but recovers elastically from that distortion. Examples of hinge-type connections suitable for use in the invention include, but are not limited to, stitches, staples, or pins joining fabric strips, VELCRO, zippers, rings, or fabric encompassing two or more members, the fabric having a dividing seam between the members. Preferably, the hinges are formed via a soft fabric layer encompassing two or more members, the fabric layer having stitched dividing seams between the members. In other words, the soft members are interrelated through a fabric covering and the hinge-type connections comprise intersection of the fabric covering. Any type of fabric may be used, and will be chosen based on desired qualities of the interconvertible articles of the invention.
5.1.8 MemberAs used herein, the term “member” means any object, of any shape, and of any material, wherein the member is part of an interconvertible article of the invention. A “rotatable member” means a member designed to be turned, rotated, or twisted via a hinge-type connection concomitantly with one or more other rotatable members thereby effecting interconversion of an article of the invention.
5.1.9 Soft, Resilient MemberAs used herein, the phrase “soft, resilient member” means any object of any shape made from any soft, resilient material, wherein the member is part of an interconvertible article of the invention. “Soft” means that the member is readily deformable on touch; for reference purposes, examples of soft objects are pillows, air-filled balloons, foam rubber, etc. “Resilient” means that the member assumes its original shape once the stress that induced distortion is removed. Preferably, a resilient member is compressible to the extent of from about 50% to about 90% of its volume and, upon release of the compressive force, assumes its original shape in less than about three seconds. Suitable soft, resilient materials for use in the invention include, but are not limited to, foamed plastics such as latex or urethane open-cell foams, air-filled elastic latex balloons, or fabric bags filled with spun stuffing, made for example from cotton, goose down, or nylon. Preferably, the soft, resilient members are covered with colorful or otherwise appealing fabric. These fabrics can be slightly elastic (by co-weaving with rubber), metallized, made from “fake fur”, or tough rip-stop nylon normally used in backpacks.
5.1.10 Interior Surface Area The phrase “interior surface area”, with respect to a soft, resilient members in an article of the invention in a particular robust geometry, means that portion of the member's surface area that is not visible because it is enclosed or shielded from sight within the article. For example, with respect to
As used herein, the phrase “interconvertible interior surface area”, with respect to an article of the invention, means that portion of the member-defined interior surface area that is exchanged to the article's exterior surface upon interconversion. See for example
As used herein, the term “interconversion” or “interconverting” with respect to a rotatable member means moving or rotating the member such that there results an exchange of a portion of the member's interior surface area to the exterior surface.
5.1.13 Interconversion or Interconverting As used herein, the term “interconversion” or “interconverting” with respect to an article of the invention means turning, rotating, or twisting one or more of the rotatable members such that there results an exchange of the article's interconvertible interior surface area to the article's exterior surface. See for example,
In one embodiment, the invention provides an article comprising a first stable and robust geometry in a zero energy state and a plurality of soft, resilient members interconnected by hinge-type connections, wherein the article adopts a second stable and robust geometry in a zero energy state after application of an applied force approximating or approaching an interconversion force.
In a preferred embodiment, when the applied force approaches or approximates the interconversion force, a quantum of stored energy within the article propels the article into the second geometry.
In other preferred embodiments the first robust geometry can be a cube, building shaped, a disk, or icosahedron; the second robust geometry can be a stellated cube, car shaped, sun shaped, or a stellated icosahedron.
A few embodiments of interconvertible articles of the invention are illustrated in
There are four main design criteria necessary to the creation of a robust, interconvertible toy. These criteria are:
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- 1) dividing the first geometry into a nested set of adjacent elements;
- 2) choosing an arrangement of hinges between those elements that result in a stable, robust geometry;
- 3) eliminating a small number of adjacent hinges to create a single, interconversion opening whose position and shape does not compromise the toy's robustness; and
- 4) choosing the elements in such a way that after pulling them through the interconversion opening, the new geometry is also robust and does not distort the shape of any individual element.
It is not always possible to satisfy all four concerns. For example, a sphere cannot be divided into a small number of elements without violating criteria four because some of the hinge lines would be curved, and such curves will be distorted after the rotation necessary for interconversion, or members will be compressed in the second geometry. An approximation to a sphere, such as a polygonal icosahedron, however, has linear edges, and satisfies all four criteria.
The arrangement of hinged elements to create stable and robust geometries is based on substantial mathematical and practical considerations. For example, the study of hinges and rotation is important for architectural space frames, protein folding and atomic glasses.
Arrangement of hinges is very important. To understand the importance of hinge selection and directions, consider
Robustness depends on the hinges constraining common members from relative motion. In object 133 of
Preferably, in articles of the invention, the members linked by constrained hinges. For example, in the cube of
Thus, with respect to hinges, there are two guides for robustness:
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- 1) in either interconverted geometry, the members cannot be distorted or under pressure; and
- 2) every interconverting member should be stabilized by at least one group of three or more constrained hinges attached along one edge.
One of skill in the art, by reference to the drawings and description herein and the above guides for robustness, can design a wide variety of interconvertible articles of the invention by providing a shell of soft, resilient material having exterior and interior surfaces of desired design; dividing the shell into soft, resilient members; and interconnecting the soft, resilient members with hinge-type connections such that appropriate soft, resilient members can be concomitantly rotated 180 degrees, and assuring each member is attached with constrained hinges. Typically, one begins by considering the most compact state (e.g. a solid cube) and then divides the solid body into a multitude of elements (e.g. pyramids) with common edges on the hinge lines. The larger the apparent volume and shape change, and the greater fraction of surface area interchanged, the more fascinating the transition.
The articles of the invention may be decorated in any manner, for example, in article 10, car windows, wheels 15, etc. can be added to the car surface, while windows, doors, etc. can be added to the building surface.
The foregoing description of non-limiting embodiments of the invention has been presented for illustrative purposes. It is not intended to be exhaustive or to limit the invention to the precise form disclosed, and many modifications and variations are possible in light of the above teachings without deviating from the spirit and the scope of the invention. The embodiments described are selected to illustrate the principles of the invention and its practical application to thereby enable others skilled in the art to practice the invention in various embodiments and with various modifications as suited to their particular purpose.
Claims
1. An article comprising a first stable and robust geometry in a zero energy state and a plurality of soft, resilient members interconnected by hinge-type connections, wherein the article adopts a second stable and robust geometry in a zero energy state after application of an applied force approximating or approaching an interconversion force.
2. The article of claim 1, wherein when the applied force approaches or approximates the interconversion force, a quantum of stored energy within the article propels the article into the second geometry.
3. The article of claim 1, wherein the second geometry comprises an enclosed hollow space.
4. The article of claim 3, wherein a first volume of the article in the first geometry is about equal to a second volume defined within the enclosed hollow space.
5. The article of claim 1, wherein two or more of the members are interrelated through a fabric covering and one or more of the hinge-type connections comprises an intersection of the fabric covering.
6. The article of claim 1, wherein the first geometry is a cube or an icosahedron.
7. The article of claim 1, wherein the second geometry is a stellated cube or a stellated icosahedron.
8. The article of claim 1, wherein one or more of the plurality of members comprises plastic foam or an air-filled balloon.
9. The article of claim 1, wherein the article has no internal voids in either the first or second geometry.
10. The article of claim 9, wherein the first geometry is a car shape and the second geometry is a building shape.
11. The article of claim 9, comprising a disk-shape member, wherein in either the first or second geometry, one or more of the members extends from a periphery of the disk-shape member.
12. A method of interconverting an article comprising a first stable and robust geometry in a zero energy state and a plurality of soft, resilient members interconnected by hinge-type connections to a second stable and robust geometry in a zero energy state comprising application of an applied force approximating or approaching an interconversion force.
13. The article of claim 12, wherein when the applied force approaches or approximates the interconversion force, a quantum of stored energy within the article propels the article into the second geometry.
14. The method of claim 12, wherein the second geometry comprises an enclosed hollow space.
15. The method of claim 12, wherein the two or more members are interrelated through a fabric covering and one or more of the hinge-type connections comprises an intersection of the fabric covering.
16. The method of claim 12, wherein the first geometry is a cube or an icosahedron.
17. The method of claim 12, wherein the second geometry is a stellated cube or a stellated icosahedron.
18. The method of claim 12, wherein one or more of the members comprises plastic foam or an air-filled balloon.
19. The method of claim 12, wherein the article has no internal voids in either the first or second geometry.
20. The method of claim 19, wherein the first geometry is a car shape and the second geometry is a building shape.
21. The method of claim 19, wherein the article comprises a disk-shape member, and wherein in either the first or second geometry, one or more of the members extends from a periphery of the disk-shape member.
Type: Application
Filed: Nov 12, 2004
Publication Date: Jun 23, 2005
Inventor: Greg Blonder (Summit, NJ)
Application Number: 10/987,779