EP0701850A2 - Speil bestehend aus Elementen von mindestens einem Muster tragenden Teilen, die so zusammengebaut werden können, dass das Muster volständig rekonstruiert werden kann - Google Patents

Speil bestehend aus Elementen von mindestens einem Muster tragenden Teilen, die so zusammengebaut werden können, dass das Muster volständig rekonstruiert werden kann Download PDF

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Publication number
EP0701850A2
EP0701850A2 EP95114089A EP95114089A EP0701850A2 EP 0701850 A2 EP0701850 A2 EP 0701850A2 EP 95114089 A EP95114089 A EP 95114089A EP 95114089 A EP95114089 A EP 95114089A EP 0701850 A2 EP0701850 A2 EP 0701850A2
Authority
EP
European Patent Office
Prior art keywords
elementary
game according
solids
faces
patterns
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.)
Withdrawn
Application number
EP95114089A
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English (en)
French (fr)
Other versions
EP0701850A3 (de
Inventor
Jean Bauer
Jean-Philippe Lebet
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.)
Trigam SA
Original Assignee
Trigam SA
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Filing date
Publication date
Application filed by Trigam SA filed Critical Trigam SA
Publication of EP0701850A2 publication Critical patent/EP0701850A2/de
Publication of EP0701850A3 publication Critical patent/EP0701850A3/de
Withdrawn legal-status Critical Current

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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
    • A63F9/1204—Puzzles consisting of non-interlocking identical blocks, e.g. children's block 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
    • A63F2250/00—Miscellaneous game characteristics
    • A63F2250/50—Construction set or kit
    • A63F2250/505—Construction set or kit made from a blank

Definitions

  • the object of the present invention is to provide a game of this kind which allows the reconstitution of patterns extending in three dimensions, in at least two planes intersecting each other, which, of course, increases the difficulty and interest of such games.
  • the elementary patterns can consist either of plain surfaces, of different colors, the difference of the colors distinguishing from each other the reconstituted patterns, or by symbols, oriented or not, either by fractions of images, drawings, engravings, photographs or others, the assembly of which makes it possible to reconstruct the image as a whole.
  • These elementary patterns have not been shown in the drawings.
  • the compound polyhedra obtained by the assembly of elementary polyhedra can not only have planar faces, but also embossed faces having hollow parts and projecting parts.
  • the solid compounds may be "multiple”, that is to say have several vertices facing in the same direction. In this case, they can be broken down into several solid compounds of simpler shape such as pyramids, tetrahedra, cubes or others.
  • configuration S expresses the number of possible arrangements of elementary solids leading to a compound polyhedron, most generally of the same shape and the same dimension, the appearance of which on the surface is different from the fact that the facets of the elementary solids which are apparent are not the same for these different compound solids.
  • the number S of the configurations represents the number of reconstitutable patterns, which is greater than the number of external faces of the compound solids.
  • the compound solids can be formed from identical elementary solids or from groups of complementary elementary solids, it being understood that, in a group, the elementary solids have edges of the same length.
  • All the elementary solids are regular polyhedra with F side faces or identical facets.
  • the number of possible configurations S in a stack of elementary solids is determined as follows:
  • the stack has successive layers of elementary solids containing K (i) elementary solids each, i being the layer index varying from 1 to N, and N being the total number of layers of the stack.
  • the object set of the first embodiment of the invention comprises elementary solids C, in the form of cubes, one of which has been shown in FIG. 1.
  • Each side face or facet of these cubes carries elements of patterns to be reconstructed. All or part of all the cubes in the game may have the same set of elementary patterns or even elementary patterns differing from one cube to another.
  • cubes C allow the production of compound solids, for example the cubic compound solid 1 shown in FIG. 2, formed by the superposition of four layers of cubes C, each layer being itself formed by the juxtaposition of four strips of cubes each comprising four cubes C.
  • the compound cube 1 is formed of sixty-four cubes C, each of its faces being itself formed of sixteen square facets formed by the sides of the elementary cubes C.
  • the number of facets available is 6N3 while the number of facets per face of the compound cube is N2, N expressing the number of layers of elementary cubes in the compound cube.
  • Fig. 3 shows a triangular support 2, for example made of plastic, having four rows of cells 3, of trihedral shape, intended to each receive a cube such as the cube C in FIG. 1 placed "on point", that is to say having one of its vertices facing downwards.
  • the number of elementary cubes will be N (N + 1) (N + 2) / 6.
  • the number of available facets is N (N + 1) (N + 2).
  • the number of facets per plane face is N (N + 1) / 2.
  • the top layer contains a cube
  • the next layer contains three cubes
  • layer 3 contains six cubes
  • layer 4 contains ten cubes, etc.
  • the different layers can be either parallel to the planes of the outer faces of the completed tetrahedral pyramid, or horizontal.
  • the elementary solids may be solid, made of wood or plastic for example, or even be hollow, being produced from a folded sheet material.
  • the latter solution has the advantage that the elementary patterns can be printed on the sheet material.
  • fig. 5 represents a blank 5 of strong paper (cardboard) or cardboard, on which a series of drawings 6 has been printed, each representing a cube C in the developed state, flat.
  • the square has 6 parts of these drawings show the faces of the cube.
  • the projecting parts 6b are folded inwardly cubes once they mounted; as for the protruding parts 6 c , they constitute assembly tongues.
  • the elementary patterns are printed on the blank 5, each drawing 6 receiving the desired elementary patterns, identical for some of these drawings, different for others.
  • the drawings 6 are then detached, by striking with a cutter, from the blank 5.
  • the game can be delivered with the cubes being assembled, as also the cubes in the developed state, their assembly being then ensured by the users.
  • FIG. 6 represents an elementary pyramid with a square base P
  • FIG. 7 a regular elementary tetrahedron T.
  • a square pyramid compound 7 (fig. 8), or a regular compound tetrahedron 8 (fig. 9).
  • the first layer of elementary solids in this case the top layer, is constituted by a pyramid P. All the elementary angle solids are also constituted by pyramids P. The elementary tetrahedra T inserted between the elementary pyramids P are all placed "on edge”.
  • the length of the side of the composite pyramid will be Na.
  • the number of elementary pyramids P is N (2N2 + 1) / 3, and the number of elementary tetrahedrons T is 2N (N2-1) / 3.
  • the number of the triangular facets of the set of elementary pyramids is 4N (2N2 + 1) / 3, while the number of the triangular facets of the set of elementary tetrahedrons is 8N (N2-1) / 3.
  • the number of triangular facets of elementary pyramids visible on one face of the composite pyramid is N (N + 1) / 2, while the number of triangular facets of elementary tetrahedrons visible on one face of the composite pyramid is N (N -1) / 2.
  • Sp The number of possible configurations counted on the elementary pyramids, designated by Sp, is 2N (N + 1) Sp ⁇ 4N (2N 2 +1) / 3 , from which it follows that Sp ⁇ 2 (2N 2 +1) / 3 (N + 1) .
  • St As for the number of possible configurations counted on the elementary tetrahedra, designated by St, it is 2N (N-1) St ⁇ 8N (N 2 -1) / 3 , from where St ⁇ 4 (N + 1) / 3 .
  • the number of configurations is determined by the number of elementary pyramids if we consider a planar pattern on each face of the composite pyramid.
  • the first layer of elementary solids in this case the top layer, is constituted by a tetrahedron T. All the elementary angle solids are also constituted by tetrahedra T. The elementary pyramids P interposed between the elementary tetrahedra T are all placed on one of their triangular faces.
  • the length of the side of the compound tetrahedra is equal to Na.
  • the number of elementary pyramids is N (N2-1) / 3, and the number of elementary tetrahedrons is N (N2 + 2) / 3.
  • the number of triangular facets of the set of elementary pyramids is 4N (N2-1) / 3, while the number of triangular facets of the set of elementary tetrahedrons is 4N (N2 + 2) / 3.
  • the number of the triangular facets of the elementary pyramids visible on one face of the compound tetrahedron is N (N-1) / 2, while the number of the triangular facets of the elementary tetrahedrons visible on one face of the compound tetrahedron is N (N + 1 ) / 2.
  • Sp The number of possible configurations counted on the elementary pyramids, designated by Sp, is Sp3N (N-1) / 2 ⁇ 4N (N 2 -1) / 3 , from which it follows that Sp ⁇ 8 (N + 1) / 9 .
  • St As for the number of possible configurations counted on the elementary tetrahedra, designated by St, it is St3N (N + 1) / 2 ⁇ 4N (N 2 +2) / 3 , from where St ⁇ 8 (N 2 +2) / 9 (N + 1) .
  • the number of configurations is determined by the number of tetrahedra if we consider a planar pattern on each face of the compound tetrahedron.
  • Fig. 10 represents a blank 9 on which has been printed a series of drawings 10 each representing a tetrahedron T in the developed state, flat.
  • the triangular parts 10 a of these drawings represent the faces of the tetrahedron.
  • the overflowing parts 10 b constitute assembly tabs.
  • the elementary patterns are printed on the blank 9, each drawing 10 receiving the desired elementary patterns, identical for some of these drawings, different for others.
  • the drawings 10 are then detached, by knocking with the cutter, from the blank 9.
  • Fig. 11 represents a regular elementary octahedron 0 and FIG. l2 a regular elementary tetrahedron T identical to that of fig. 7.
  • a square-based composite pyramid 11 fig. 13
  • the solid 11 of FIG. 13 differs from the solid 7 of FIG. 8 by the fact that its base is not flat but has an embossed appearance. It is therefore necessary, to produce this solid 11, to have a cell support similar to the support 2 in FIG. 3, but whose alveoli will have the shape of a half-octahedron 0.
  • the solid 12 of FIG. l4 is identical to the solid 8 of FIG. 9, the pyramids composing it being all placed square base against square base, two by two, thus forming octahedra.
  • the base of the tetrahedron l2 is plane.
  • the first layer of elementary solids in this case the top layer, is constituted by an octahedron 0. All the elementary solids of angle are also constituted by octahedra 0 The elementary tetrahedra T are interspersed between the elementary octahedra.
  • the length of the side of the compound pyramids is Na.
  • the number of elementary octahedra 0 is N (N + 1) (2N + 1) / 6 and the number of elementary tetrahedrons T is 2N (N2-1) / 3.
  • the number of the triangular facets of the set of elementary octahedra is 4N (N + 1) (2N + 1) / 3, while the number of the triangular facets of the set of elementary tetrahedra is 8N (N2-1) / 3.
  • the number of the triangular facets of the elementary octahedra visible on one face of the composite pyramid is N (N + 1) / 2, while the number of the triangular facets of the elementary tetrahedrons visible on one face of the composite pyramid is N (N -1) / 2.
  • So The number of possible configurations counted on the elementary octahedra, designated by So, is 2N (N + 1) So ⁇ 8N (N + 1) (2N + 1) / 6 , from which it follows that So ⁇ 2 (2N + 1) / 3 .
  • St As for the number of possible configurations counted on the elementary tetrahedra, designated by St, it is 2N (N-1) St ⁇ 8N (N 2 -1) / 3 , from where St ⁇ 4 (N + 1) / 3 .
  • the number of configurations is determined by the number of elementary octahedra if we consider a planar pattern on each face of the composite pyramid.
  • the first layer of elementary solids in this case the top layer, is constituted by a tetrahedron T. All the elementary angle solids are also constituted by tetrahedrons T.
  • the elementary octahedra P are interspersed between the elementary tetrahedra T.
  • the side length of the compound tetrahedra is equal to Na.
  • the number of elementary octahedra is N (N2-1) / 6, and the number of elementary tetrahedrons is N (N2 + 2) / 3.
  • the number of the triangular facets of the set of elementary octahedra is 8N (N2-1) / 6, that is 4N (N2-1) / 3, while the number of the triangular facets of the set of elementary tetrahedrons is 4N (N2 + 2) / 3.
  • the number of the triangular facets of the elementary octahedra visible on one face of the compound tetrahedron is N (N-1) / 2, while the number of the triangular facets of the elementary tetrahedrons visible on one face of the compound tetrahedron is N (N + 1 ) / 2.
  • So The number of possible configurations counted on the elementary octahedra, designated by So, is So3N (N-1) / 2 ⁇ 4N (N 2 -1) / 3 , from which it follows that So ⁇ 8 (N + 1) / 9 .
  • St As for the number of possible configurations counted on the elementary tetrahedra, designated by St, it is St3N (N + 1) / 2 ⁇ 4N (N 2 +2) / 3 , from where St ⁇ 8 (N 2 +2) / 9 (N + 1) .
  • the number of configurations is determined by the number of tetrahedra if we consider a planar pattern on each face of the compound tetrahedron.
  • Fig. 15 represents a blank 13 on which a series of drawings 14 has been printed, each representing an octahedron 0 in the developed state, flat.
  • the triangular portions l4 has these drawings depict the faces of the octahedron.
  • the overhanging portions 14 b will be folded inwards of the octahedra once they have been mounted; as for the protruding parts 14 c , they constitute assembly tongues.
  • the elementary patterns are printed on the blank 13, each drawing 14 receiving the desired elementary patterns, identical for some of these drawings, different for others.
  • the drawings 14 are then detached, by striking with a cutter, from the blank 13.
  • Fig. l6 represents an elementary rhombic dodecahedron DR whose lateral faces or facets are formed of diamonds. The acute angles of these diamonds are 70.53 °, and the obtuse angles of 109.47 °.
  • Fig. l7 represents a solid compound l5, of general tetrahedral shape, formed by the superposition of three layers of the rhombic dodecahedrons DR.
  • the rhombic dodecahedra DR have one of their obtuse vertices turned downwards.
  • the solid composed of fig. l8, designated by l6 is also formed by the superposition of three layers of rhombic dodecahedrons DR.
  • the rhombic dodecahedrons DR have one of their acute vertices facing downwards.
  • the three "edges" of the solid body 15 comprise a total of 3 (N-1) rhombic dodecahedrons with six apparent facets each.
  • the other apparent rhombic DR dodecahedrons are 3 (N-2) (N-1) / 2 and each have three visible facets.
  • N N + 1 (N + 2) / 6, there are altogether 2N (N + 1) (N + 2) facets.
  • the four edges of the solid body 16 comprise 4 (N-1) rhombic dodecahedrons with five apparent facets each. It should be noted, incidentally, that the seven hidden faces of these rhombic edge dodecahedrons can only be used in two ways, either by using five facets, or by using three other times only once.
  • the other rhombic dodecahedrons DR apparent from solid 16 are 2 (N-1) (N-2) each having three apparent facets.
  • Fig. l9 represents a rhombic dodecahedron such as that of FIG. l6, in the developed state, flat, designated by l7.
  • the design of this developed rhombic dodecahedron includes twelve diamonds l7 a corresponding to the twelve facets of the rhombic dodecahedron, parts projections 17 b intended to be folded inwards when the rhombic dodecahedron is mounted, and protruding parts 17 c constituting assembly tongues.
  • the developed rhombic dodecahedron l7 can be produced, as indicated for the previous embodiments, at the same time as several others from a blank which will be printed and then cut out.
  • the rhombic dodecahedron DR of fig. l6 may itself be composed and not be monolithic, as shown in fig. 20. In the example illustrated by this figure, where a rhombic dodecahedron DR is exploded, this rhombic dodecahedron is formed by four regular rhombic hexahedra HR. The rhombic dodecahedron DR compound will be used like the rhombic dodecahedron DR monolithic of fig. l6.
  • the additional patterns appearing on part of the faces of the elementary pieces can be determined in such a way that the successive interior compound patterns are in thematic relationship with one another. They can for example constitute successive illustrations of the different phases of a story.
  • Each layer of elementary parts may not form a compound pattern only, but, simultaneously, several different patterns. These will then be visible successively by observing the solid body composed in the process of reconstitution perpendicular to the direction of each of the sides of its base successively and by placing themselves in such a way that the successive rows of elementary pieces in the layer which has just to be implemented follow each other continuously. Thus, observed in this way, the elementary pieces will give the impression of a compound motif seen in perspective.
  • Each layer of elementary parts can thus provide as many compound patterns as the base of the solid body will have sides, three for a triangular base (tetrahedron), four for a square base (pyramid), etc.

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  • Engineering & Computer Science (AREA)
  • Multimedia (AREA)
  • Toys (AREA)
EP95114089A 1994-09-16 1995-09-08 Speil bestehend aus Elementen von mindestens einem Muster tragenden Teilen, die so zusammengebaut werden können, dass das Muster volständig rekonstruiert werden kann Withdrawn EP0701850A3 (de)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
CH283494 1994-09-16
CH2834/94 1994-09-16

Publications (2)

Publication Number Publication Date
EP0701850A2 true EP0701850A2 (de) 1996-03-20
EP0701850A3 EP0701850A3 (de) 1996-07-03

Family

ID=4242648

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EP95114089A Withdrawn EP0701850A3 (de) 1994-09-16 1995-09-08 Speil bestehend aus Elementen von mindestens einem Muster tragenden Teilen, die so zusammengebaut werden können, dass das Muster volständig rekonstruiert werden kann

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Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO1998052662A1 (es) * 1997-05-21 1998-11-26 Diaz Escano Jesus M Puzzle tridimensional
WO2000018481A1 (en) * 1998-09-29 2000-04-06 Solarikova Ingrid Multicolour prismatic puzzle
FR2806002A1 (fr) * 2000-03-13 2001-09-14 Hugues Goulesque Dispositif de jeu
WO2003049824A1 (de) 2001-12-12 2003-06-19 Markus Kohl Dekorationskörper und verfahren zu dessen herstellung

Family Cites Families (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
GB308886A (en) * 1928-03-14 1929-04-04 Lawrence John De Whalley Improvements in appliances for playing puzzle games
US4317653A (en) * 1978-04-14 1982-03-02 Wahl Martha S Educational blocks
US4257609A (en) * 1978-09-15 1981-03-24 Squibbs Robert F Games and puzzles
US4676507A (en) * 1985-05-06 1987-06-30 Patterson Bruce D Puzzles forming platonic solids
FR2605890A1 (fr) * 1986-10-31 1988-05-06 Bonnouvrier Daniel Jeu de cubes educatif
AR245381A1 (es) * 1988-04-11 1994-01-31 Schaefer Rolf Juego de composicion de figuras, del tipo compuesto por multiples piezas asociables de diferentes maneras para formar diversas figuras.
NL8902693A (nl) * 1989-10-31 1991-05-16 Enpros Beheer Bv Piramide-puzzel.
US5168677A (en) * 1989-11-15 1992-12-08 Ernesto Daniel Gyurec Method of constructing flat building block modules from the union of two frustums by their congruent bases and slot connectors complement for a variety of constructive or amusing applications

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
None

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO1998052662A1 (es) * 1997-05-21 1998-11-26 Diaz Escano Jesus M Puzzle tridimensional
ES2133234A1 (es) * 1997-05-21 1999-09-01 Diaz Escano Jesus M Puzzle tridimensional.
WO2000018481A1 (en) * 1998-09-29 2000-04-06 Solarikova Ingrid Multicolour prismatic puzzle
FR2806002A1 (fr) * 2000-03-13 2001-09-14 Hugues Goulesque Dispositif de jeu
WO2003049824A1 (de) 2001-12-12 2003-06-19 Markus Kohl Dekorationskörper und verfahren zu dessen herstellung

Also Published As

Publication number Publication date
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