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WO2000002634A1 - Objet polygonal pliant - Google Patents

Objet polygonal pliant Download PDF

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Publication number
WO2000002634A1
WO2000002634A1 PCT/AU1999/000482 AU9900482W WO0002634A1 WO 2000002634 A1 WO2000002634 A1 WO 2000002634A1 AU 9900482 W AU9900482 W AU 9900482W WO 0002634 A1 WO0002634 A1 WO 0002634A1
Authority
WO
WIPO (PCT)
Prior art keywords
shapes
layer
foldable
foldable sheet
shape
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Ceased
Application number
PCT/AU1999/000482
Other languages
English (en)
Inventor
Mark Andrew Hansen
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Individual
Original Assignee
Individual
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Individual filed Critical Individual
Priority to AU44902/99A priority Critical patent/AU4490299A/en
Publication of WO2000002634A1 publication Critical patent/WO2000002634A1/fr
Anticipated expiration legal-status Critical
Ceased legal-status Critical Current

Links

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
    • A63F9/08—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
    • A63H—TOYS, e.g. TOPS, DOLLS, HOOPS OR BUILDING BLOCKS
    • A63H33/00—Other toys
    • A63H33/04—Building blocks, strips, or similar building parts

Definitions

  • This invention relates to a foldable device that can be folded along multiple fold axes to form a multitude of three-dimensional shapes, and in particular to such a device which can be connected and stacked to form larger three-dimensional objects.
  • the present invention will be primarily described with reference to an embodiment suitable as a novelty piece, puzzle or game, however the invention is not restricted to such an embodiment.
  • flexagons are paper polygons, folded from straight or crooked strips of paper or thin cardboard, which have the property of changing their faces when they are flexed.
  • flexagons such as hexaflexagons and tetraflexagons.
  • hexaflexagons A good description of hexaflexagons is found in chapter one of a book entitled “Mathematical Puzzles and Diversions" by Martin Gardner, published by Penguin Books in 1975.
  • the present invention may provide a device that can be continually folded in several directions to form three-dimensional objects, and loosely connected to other such devices to form more complex three-dimensional objects.
  • the device of the present invention may be constructed from irregular shapes and form irregular 3-dimensional objects.
  • the present invention is a foldable sheet device comprising at least first and second layers of sheet material superimposed one upon the other, each layer comprising more than two shapes, wherein each shape of the first layer is connected to two adjacent shapes of the second layer, and each shape of the second layer is connected to two adjacent shapes of the first layer, and wherein each shape can be folded about at least two fold axes.
  • the device can be folded about said fold axes to manipulate the device into a plurality of three-dimensional configurations.
  • the device is in a three-dimensional configuration it is stackable with other similar devices to form a larger three-dimensional object.
  • the device is stackable with one or more other devices in a horizontal or vertical relationship.
  • each shape of the first layer is connected to at least two shapes of the other layer in a region between one of said fold axes and the periphery of the layers.
  • the sheet material is a flexible material and the fold axes are formed within the sheet material.
  • the sheet material is paper or cardboard.
  • the device is a novelty piece having pictures, pattern or indicia on at least one of said shapes.
  • the picture, pattern or indicia on at least one of said shapes forms a larger picture, pattern or indicia in combination with the picture, pattern or indicia of at least one of the other shapes.
  • said device is a novelty piece having a picture, pattern or indicia on at least one of its said shapes, and when in stacked relationship with other similar devices to form a larger three-dimensional object the picture, pattern or indicia on said at least one shape forms part of a larger picture, pattern or indicia of the larger three- dimensional object.
  • the sheet material is a rigid material and the fold axes are formed by hinge joints.
  • the device may be a piece of furniture able to support a further member.
  • a further shape is able to be foldably or hingedly connected to at least one of the shapes of one of said layers.
  • each plane is polygonal.
  • the polygonal shapes are rhombs.
  • each plane is polygons and are disposed adjacent to each other to form a hexagon or an octagon.
  • the present invention consists in a foldable device comprising first and second layers each of which comprises a plurality of adjacent sheet material shapes, each said layer of sheet material shapes being disposed to form a polygon, the first layer is connected to the second layer at a plurality of joint locations such that the device can be folded about a plurality of fold axes to manipulate the device into a plurality of configurations.
  • the present invention is a foldable sheet device comprising at least first and second sets of sheet material, said first set of sheet material comprising more than two shapes, and said second set of sheet material comprising more than two shapes, wherein each shape of said second set is connected to two adjacent shapes of said first set, and each shape of said first set is connected to two adjacent shapes of said second set, and wherein each shape of both said first and second sets can be folded about at least two fold axes.
  • At least a portion of two shapes of one of the sets of sheet material overlap.
  • Fig. 1 is an exploded isometric view of a first embodiment of the foldable device of the present invention consisting of two, upper and lower, hexagonal planes of paper.
  • Fig.2 is a plan view of the foldable device of Fig. 1.
  • Fig.3 is a bottom view of the foldable device of Fig. 1.
  • Figs. 4-7 show perspectives of the foldable device of Fig. 1 in progressive opening up and folding of the device to form a three-dimensional object.
  • Fig. 8 shows three of the foldable devices of Fig. 1 in three-dimensional configurations stacked in a horizontal relationship.
  • Fig.9 shows a second embodiment of three foldable devices of the present invention in a three-dimensional stacked configuration stacked in a horizontal relationship.
  • Fig.10 shows a plan view hexagonal template for constructing the foldable devices of the first and second embodiments.
  • Fig.11 shows a plan view of an octagonal template for constructing a third embodiment of the foldable device of the present invention.
  • Figs. 1-3 depict a first embodiment of a foldable device made up of six rhomb (diamond) shaped pieces of paper 1-6.
  • the foldable device may be of the type used as a novelty or puzzle.
  • Each rhomb piece 1-6 may have a picture, pattern or indicia (not shown) printed on each side thereof.
  • Three of the rhomb shaped pieces of paper 1 ,2,3 form a first (upper) hexagon plane which is parallel to a second (lower) hexagon plane made up of the other three rhomb shaped pieces of paper 4,5,6.
  • Each rhomb shaped piece of paper 1 ,2,3 is foldable about two fold axes (flexible joints) shown by dashed lines which form a triangle 7, whilst each rhomb shaped piece of paper 4,5,6 is foldable about dashed lines (flexible joints) which form a triangle 8.
  • the first hexagon plane made up of rhomb shaped pieces of paper 1 ,2,3 is aligned with the second hexagon made up of rhomb shaped pieces of paper 4,5,6 and glued together at the six shaded triangular areas 9-14.
  • this first embodiment of the foldable device can have its first hexagonal plane of rhomb shaped pieces of paper 1-3 folded out about the dashed lines 8 to reveal the picture, pattern or indicia on the rhomb shaped pieces in a different configuration.
  • this first embodiment of the foldable device can be further folded out to create a self supporting 3-dimensional object which can be stacked with other such devices as shown in Fig. 8, and can cooperatively display a picture, pattern or indicia.
  • the foldable device of this first embodiment can be folded continually in many directions to get to the original shape shown in Fig 1 , and can also be folded to form different shape and picture combinations, other than those shown in the figures which can be loosely stacked or connected horizontally.
  • Fig. 9 depicts a second embodiment of three foldable devices 50 in a horizontal stacked relationship, each of the devices 50 have a different picture portion 51 ,52 and 53 which cooperatively form a larger picture.
  • a regular hexagonal template for constructing the foldable device is shown.
  • the hexagon having vertices 21-26 and midpoints 27-32. Proceeding in a clockwise direction, lines 41 , 42 and 43 are drawn connecting point 27 with point 29, point 29 with point 31 and point 31 with point 27, respectively. These lines 41 , 42 and 43 define the location of the primary flexible joints (fold axes) of the first hexagonal plane. Proceeding in a clockwise direction, lines 44, 45 and 46 are drawn connecting point 28 with point 30, point 30 with point 32 and point 32 with point 28, respectively. These lines 44, 45 and 46 define the location of the primary flexible joints (fold axes) of the second hexagonal plane. Two internal triangles are formed by this method.
  • the intersection of the two triangles forms a third internal hexagon having vertices 33-38. From these construction lines a number of shapes can be defined.
  • One typical shape in a plane has a maximum polygonal boundary defined by points 21 ,22,28,36,37,32 and a minimum polygonal boundary defined by the line spanning points 33,34.
  • the outer border of a typical shape may lie along a closed line of 39 that lies within the maximum polygonal boundary and outside the minimum polygonal boundary.
  • the first shape in the first hexagonal plane has a maximum polygonal boundary defined by points 21 ,22,28,36,37,32 and primary flexible joints, which lie along the lines defined by points 27,35 and 27,38.
  • the second shape in the first hexagonal plane has a maximum polygonal boundary defined by points 23,24,30,38,33,28, and primary flexible joints which lie along the lines defined by points 29,34 and 29,37.
  • the third shape in the first hexagonal plane has a maximum polygonal boundary defined by points 25,26,32,34,35,30 and primary flexible joints, which lie along the lines defined by points 31 ,36 and 31 ,33.
  • the first shape in the second hexagonal plane has a maximum polygonal boundary defined by points 22,23,29,37,38,27 and primary flexible joints, which lie along the lines defined by points 28,33 and 28,36.
  • the second shape in the second hexagonal plane has a maximum polygonal boundary defined by points 24,25,31 ,33,34,29 and primary flexible joints which lie along the lines defined by points 30,38 and 30,35.
  • the third shape in the second hexagonal plane has a maximum polygonal boundary defined by points 26,21 ,27,35,36,31 and primary flexible joints which lie along the lines defined by points 32,34 and 32,37.
  • Other flexible joints (or fold axes) can be positioned within any of the shapes to enable a greater number of three dimensional configurations to be achieved upon folding of the device.
  • the first and second plane are joined(or glued) together within the six polygons defined by points 21 ,27,33,32; 27,22,28,34; 28,23,29,35; 29,24,30,36; 30,25,31 ,37 and 31 ,26,32,38.
  • the principle behind the generation for template shown in Figure 10 can be extended to a polygonal foldable device having first and second polygonal planes.
  • the polygon may be regular or irregular in shape, but must have an even number of sides.
  • the template for constructing the polygon having an even number is drawn.
  • a mid-point is placed at the centre of each side. Proceeding in a clockwise direction a line is drawn connecting the first mid-point, to the third mid-point, the third to the fifth, and so on until the first mid-point is reached again, wherein the lines define the locations of the primary flexible joints (fold axes) in the first (upper) polygonal plane, and the position of shapes in the second (lower) plane.
  • a line is drawn connecting the second mid-point, to the fourth mid-point, the fourth to the sixth, and so on until the second mid-point is reached again, wherein the lines define the locations of the primary flexible joints in the second (lower) polygonal plane, and the position of shapes in the first (upper) polygonal plane.
  • Two internal polygons are formed by this process, each with half the number of sides of the original polygon.
  • the intersection of the two internal polygons forms a third internal polygon with the same number of sides as the original polygon. From these various construction lines a number of shapes, corresponding to the number of sides of the original polygon, and their positions, and the position of several flexible joints, can be defined.
  • incisions and holes may preferably be cut inside each shape's outer borders, and they may also have several other layers of shapes attached to their surfaces, such that the layers may be folded back from the main shapes.
  • Fig. 11 depicts a template produced from a regular octagon, and the maximum boundary and position of the first shape in the upper plane, defined by the points 101 , 102, 110, 120,121 , 122, 123, 116 and the location of primary flexible joints (fold axes) that lie along lines 109,119, and 109,124.
  • a similar method of construction applies to other even sided polygons either regular or irregular.
  • a foldable device made of paper or thin cardboard
  • it may in another embodiment be made of a rigid sheet material such as wood, plastic or metal and hinged joints are used rather than flexible joints to connect the various polygonal shapes.
  • a rigid sheet device may in a specific three-dimensional configuration be able to be used as a furniture piece or component to support a separate table top or other member, either by itself or in combination with other such devices.

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  • Engineering & Computer Science (AREA)
  • Multimedia (AREA)
  • Toys (AREA)

Abstract

Un dispositif à feuilles pliables comprend au moins des premières (1-3) et deuxièmes (4-6) couches de matériau en feuille superposées de manière articulée. Chaque couche possède plus de deux formes et chaque forme de la première couche est reliée à deux formes adjacentes de la deuxième couche, chaque forme de la deuxième couche est reliée à deux formes adjacentes de la première couche. Chaque forme peut être pliée autour d'au moins deux axes de pliage (8).
PCT/AU1999/000482 1998-07-10 1999-06-16 Objet polygonal pliant Ceased WO2000002634A1 (fr)

Priority Applications (1)

Application Number Priority Date Filing Date Title
AU44902/99A AU4490299A (en) 1998-07-10 1999-06-16 Polygonal folding object

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
AUPP4587 1998-07-10
AUPP4587A AUPP458798A0 (en) 1998-07-10 1998-07-10 Polygonal folding object

Related Child Applications (1)

Application Number Title Priority Date Filing Date
PCT/DE1999/001907 Continuation-In-Part WO2000002648A1 (fr) 1998-07-09 1999-07-01 PROCEDE DE REGENERATION D'UN CATALYSEUR ACCUMULATEUR DE NOx

Publications (1)

Publication Number Publication Date
WO2000002634A1 true WO2000002634A1 (fr) 2000-01-20

Family

ID=3808825

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/AU1999/000482 Ceased WO2000002634A1 (fr) 1998-07-10 1999-06-16 Objet polygonal pliant

Country Status (2)

Country Link
AU (1) AUPP458798A0 (fr)
WO (1) WO2000002634A1 (fr)

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2013048264A1 (fr) * 2011-09-02 2013-04-04 Eduardo Enrique Uribe Pomareda Pièces estampées en bas relief de polygones subdivisés présentant des pattes sur leur périphérie
WO2016178632A1 (fr) * 2015-05-07 2016-11-10 Singapore University Of Technology And Design Dispositif d'origami tectonique
CN113643349A (zh) * 2021-05-31 2021-11-12 东南大学 一种基于旋转对称六边形的可折叠结构及边界点确定方法

Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3962816A (en) * 1974-11-26 1976-06-15 Iris Sarid Foldable structure
US4033068A (en) * 1975-09-08 1977-07-05 Skillman Jack J Structural module
US4227334A (en) * 1978-01-10 1980-10-14 Hooker Rea F Polyhedral annular structures, and blanks therefor
US4359842A (en) * 1978-01-10 1982-11-23 Hooker Rea F Trapezoidal structures
US4429878A (en) * 1981-10-15 1984-02-07 Noriji Asao Foldable puzzle cards
US4735418A (en) * 1987-03-06 1988-04-05 Engel Douglas A Puzzle amusement device
US5735520A (en) * 1997-02-07 1998-04-07 Lulirama International, Inc. Fold-through picture puzzle

Patent Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3962816A (en) * 1974-11-26 1976-06-15 Iris Sarid Foldable structure
US4033068A (en) * 1975-09-08 1977-07-05 Skillman Jack J Structural module
US4227334A (en) * 1978-01-10 1980-10-14 Hooker Rea F Polyhedral annular structures, and blanks therefor
US4359842A (en) * 1978-01-10 1982-11-23 Hooker Rea F Trapezoidal structures
US4429878A (en) * 1981-10-15 1984-02-07 Noriji Asao Foldable puzzle cards
US4735418A (en) * 1987-03-06 1988-04-05 Engel Douglas A Puzzle amusement device
US5735520A (en) * 1997-02-07 1998-04-07 Lulirama International, Inc. Fold-through picture puzzle

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
The Amazing Book of Origami by JON TREMAINE , published 1994, Tiger Books International PLC, London, pages 6, 28, 29, 70 and 71. *

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2013048264A1 (fr) * 2011-09-02 2013-04-04 Eduardo Enrique Uribe Pomareda Pièces estampées en bas relief de polygones subdivisés présentant des pattes sur leur périphérie
WO2016178632A1 (fr) * 2015-05-07 2016-11-10 Singapore University Of Technology And Design Dispositif d'origami tectonique
US10653219B2 (en) 2015-05-07 2020-05-19 Singapore University Of Technology And Design Tectonic origami device
CN113643349A (zh) * 2021-05-31 2021-11-12 东南大学 一种基于旋转对称六边形的可折叠结构及边界点确定方法

Also Published As

Publication number Publication date
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