WO2002089934A1 - Jeu et ensemble de pavés associés - Google Patents

Jeu et ensemble de pavés associés Download PDF

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Publication number
WO2002089934A1
WO2002089934A1 PCT/AU2002/000560 AU0200560W WO02089934A1 WO 2002089934 A1 WO2002089934 A1 WO 2002089934A1 AU 0200560 W AU0200560 W AU 0200560W WO 02089934 A1 WO02089934 A1 WO 02089934A1
Authority
WO
WIPO (PCT)
Prior art keywords
tile
shape
tiles
sides
shapes
Prior art date
Application number
PCT/AU2002/000560
Other languages
English (en)
Inventor
Donald James Bone
Original Assignee
Advanced Image Research Pty Ltd
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
Priority claimed from AUPR4766A external-priority patent/AUPR476601A0/en
Application filed by Advanced Image Research Pty Ltd filed Critical Advanced Image Research Pty Ltd
Publication of WO2002089934A1 publication Critical patent/WO2002089934A1/fr

Links

Classifications

    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63FCARD, BOARD, OR ROULETTE GAMES; INDOOR GAMES USING SMALL MOVING PLAYING BODIES; VIDEO GAMES; GAMES NOT OTHERWISE PROVIDED FOR
    • A63F9/00Games not otherwise provided for
    • A63F9/06Patience; Other games for self-amusement
    • A63F9/10Two-dimensional jig-saw puzzles
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63FCARD, BOARD, OR ROULETTE GAMES; INDOOR GAMES USING SMALL MOVING PLAYING BODIES; VIDEO GAMES; GAMES NOT OTHERWISE PROVIDED FOR
    • A63F9/00Games not otherwise provided for
    • A63F9/06Patience; Other games for self-amusement
    • A63F9/0669Tesselation
    • A63F2009/0695Tesselation using different types of tiles
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63FCARD, BOARD, OR ROULETTE GAMES; INDOOR GAMES USING SMALL MOVING PLAYING BODIES; VIDEO GAMES; GAMES NOT OTHERWISE PROVIDED FOR
    • A63F9/00Games not otherwise provided for
    • A63F9/06Patience; Other games for self-amusement
    • A63F9/0669Tesselation
    • A63F2009/0695Tesselation using different types of tiles
    • A63F2009/0697Tesselation using different types of tiles of polygonal shapes

Definitions

  • This invention relates to a game or the like and to a tile set therefore.
  • game or the like is to be given a broad meaning.
  • the expression includes, inter alia, board games (with or without a board per se), puzzles and the like, toys, and assemblies and arrangements which include a set of tiles for recreational, educational, learning, assessment, teaching, therapeutic, psychological and other such purposes.
  • tile is also to be given a broad meaning and is not limited to conventional tiles in the sense of being substantially flat or slab like and having two substantially flat sides. Whilst this configuration is preferred, the expression is to be construed as extending to include any pieces suitable to cover a surface when appropriately juxtaposed.
  • the invention has particular but not exclusive application to a tile set for a jigsaw-like game or puzzle.
  • the invention also relates to a method of generating a tile set for a game or the like.
  • generating a tile set is to be construed as including producing the design of the tile set as well as well as production of the tile set per se, and production of computer programs for controlling the cutting or other manufacturing technique to manufacture the tile set etc.
  • the present invention aims to provide an alternative to known games and the like and tile sets therefor.
  • This invention in one aspect resides broadly in a tiling set for .a game or the like, the tile set including:- a plurality of individually unique tiles having shapes derived from at least one basic tiling polygonal tile shape, for each basic polygonal tile shape there being a plurality of derived tile shapes; wherein said tiles have vertices corresponding to the vertices of said basic polygonal tile shapes; wherein the shape of the sides of said basic polygonal tile shapes is modified such that first and second subgroups of the sides of the tiles have respective non-straight line forms which are asymmetric with respect to a rotation of 180 degrees about an axis perpendicular to the plane containing said vertices, the shape of the sides of the first and second subgroups being oppositely configured and adapted to closely abut along said sides, the shape of the side of a tile constituting an edge shape, and wherein said tiles each include one of
  • vertex refers to the point(s) of intersection of the straight line boundary elements of the basic polygons from which the tile shapes are derived.
  • any side of any tile in the set matches in edge shape and edge pattern at least one side of at least one other tile in the set. It is further preferred that any side of any tile in the set matches in edge shape and edge pattern at least one side of a plurality of other tiles in the set.
  • the non-straight line form includes a jigsaw-like lobe such that two adjoining tiles can lockingly abut along sides with the same non-straight line form.
  • the basic polygonal tile shape has included angles of 60°, 120°, 60° and 120°.
  • the basic polygonal tile shapes may include two quadrilaterals having included angles of 36 Q , 72 Q , 36 s and 216 5 , and 72°, 72 s , 72° and 144 s respectively.
  • the non-straight line form is one of a set of non- straight line forms.
  • the non-straight line form is a single arcuate curve. It is preferred that the partial surface design is part of a two dimensional design. In one embodiment this may be a geometric pattern. In this embodiment it is preferred that the partial surface design is a circular arc or segment such that when a plurality of tiles adjoin the surface design pattern is a circle.
  • the two dimensional design need not be a geometric pattern.
  • the partial surface design is such that when a plurality of tiles adjoin the surface design pattern constitutes a map or plan of an area.
  • the map or plan has a plurality of themes including vegetation, green spaces, buildings, cities, islands, oceans, land and water.
  • the partial surface design can be part of a three dimensional design.
  • the partial surface design could be a three-dimensional shape such that when a plurality of tiles adjoin the surface design pattern is a three dimensional icon or the like such as a crown or a cube.
  • the surface design pattern thus formed could be buildings, trees, mountains etc corresponding with respective themes.
  • this invention resides broadly in a method of generating a tiling set for a game or the like, the method including:- modifying the shape of a plurality of individually unique tiles having shapes derived from at least one basic tiling polygonal tile shape, for each basic polygonal tile shape there being a plurality of derived tile shapes such that first and second subgroups of the sides of the tiles have respective non-straight line forms which are asymmetric with respect to a rotation of 180 degrees about an axis perpendicular to the plane containing said vertices, the shape of the sides of the first and second subgroups being oppositely configured and adapted to closely abut along said sides, the shape of the side of a tile constituting an edge shape, whereby a plurality of unique tile shapes can be generated, each tile shape having vertices corresponding to the vertices of said basic polygonal tile shapes, and marking the tiles thus formed with one of a plurality of surface designs extending to at least some of the sides of the tiles to constitute
  • FIG 1 shows a first basic polygonal tiling shape in the form of a rhombus, and an arcuate modification to the shape of the sides of the basic shape;
  • FIG 2 shows the basic polygonal tiling shape of FIG 1 and a jigsaw-like modification to the shape of the sides of the basic shape;
  • FIG 3 shows a set of ten tiles of unique shape derived from the basic polygonal tiling shape of FIG 1 ;
  • FIG 4 shows a set of ten tiles having the shape of the first tile of the tile set of FIG 3, each tile having a unique partial surface design;
  • FIG 5 shows a set of sixteen tiles having the shape of the second tile of the tile set of FIG 3, each tile having a unique partial surface design;
  • FIG 6 shows a second pair of basic polygonal tiling shapes in the form of kite and dart Penrose tilings, and with four asymmetric jigsaw-like modifications to the shape of the sides of the basic shapes;
  • FIG 7 shows a set of sixteen tiles of unique shape derived from the basic kite tile shape of FIG 6;
  • FIG 8 shows a set of sixteen tiles of unique shape derived from the basic dart tile shape of FIG 6;
  • FIG 9 is a set of 128 unique tiles having four sub-sets of thirty two tiles having each of the shapes of tiles illustrated in FIGS 7 and 8, with each of the shapes from FIGS 7 and 8 having four unique partial surface designs;
  • FIG 10 shows some of the tiles of the set illustrated in FIG 9 joined to generate two different surface design patterns based on the same polygonal tiling
  • FIG 11 illustrates another embodiment of the invention wherein the set of tiles is based on a hexagon and with partial surface designs constituted by straight lines forming edge patterns adjacent the vertices of the tiles:
  • FIG 12 illustrates how the partial surface designs of a hexagonally based tile can result in the same edge patterns
  • FIG 13 illustrates a hexagonally based tile having the surface design themes of houses and vegetation.
  • a tile set for a game or the like includes a plurality of tiles as for example numbered 0-3, 5-7, 10, 1 1 and 15 in FIG 3.
  • Each tile has a shape which is derived from a basic tiling polygonal shape.
  • the basic shape of the tiles in FIG 3 is a rhombus having included angles of 60°, 120°, 60° and 120 s .
  • the tiles seen in FIG 3 have vertices A, B, C and D corresponding to the vertices A, B, C and D of the basic rhombus shape seen in FIG 2.
  • the shape of tiles numbered 0-3, 5-7, 10, 11 and 15 in FIG 3 has been modified from the basic polygonal shape such that all sides of the tiles have the non-straight line shape in either an inward or outward configuration.
  • the shape XX' includes a jigsaw-like lobe protruding from the tile while in the complimentary inward configuration 22 the curve XX' includes a jigsaw-like recess such that sides of the tiles in these complementary configurations are adapted to closely abut along the sides.
  • the jigsaw-like lobe and recess arrangement 21 ,22 allow two adjoining tiles to lockingly abut along a side.
  • a tile set for a game or the like includes a plurality of tile shapes as for example numbered 0-15 in FIG 7 and 0-15 in FIG 8.
  • the tile shapes in the sets seen in FIGS 7 and 8 are derived respectively from the two quadrilaterals seen in FIG 6. These quadrilaterals comprise the kite and dart pair of the Penrose tilings having included angles of 36°, 72°, 36° and 216°, and 72°, 72 s , 72 s and 144 s respectively.
  • the tiles seen in FIG 7 have vertices E, F, G and H corresponding to the vertices E, F, G and H of the kite shaped quadrilateral seen in FIG 6 and the tiles seen in FIG 8 have vertices J, K, L and M corresponding to the vertices J, K, L and M of the dart shaped quadrilateral seen in FIG 6.
  • a first non-straight line shape PP' includes a jigsaw-like lobe which can be configured in either an outward 31 or an inward 32 configuration such that sides of tiles modified with these complementary configurations are adapted to closely abut along their sides.
  • the jigsaw-like lobe and recess arrangement 31 ,32 allow two adjoining tiles to lockingly abut along a side.
  • the other shapes QQ', RR' and SS' in FIG 6 are also similarly adapted and include lobe and recess arrangements 33,34 and 41 ,42 and 43,44 respectively. Note that not all possible configurations of the 4 shapes can be used on all sides. Each side can have only two possible shapes. The two shorter non-straight line shapes can only be used on the shorter sides and the two longer non-straight line shapes can only be used on the longer sides.
  • the number of possible shapes are restricted so that any side of a tile based on a one of the quadrilaterals cannot join to the equivalent side of another tile based on the same quadrilateral, and can join to only one of the sides of the same length on a shape derived from the other quadrilateral.
  • the tiles include a partial surface design associated with the sides such that when tiles closely abut along those sides, the partial surface designs of adjoining tiles cooperate to form a surface design pattern.
  • the design of the pieces is based on a small set of polygonal shapes chosen so that the length of the sides of the polygons take one of a small number of possible values, and the angles at the vertices of the polygonal shapes take one of a small number of possible values.
  • the polygons are further constrained so that they must be capable of being combined in a number of different ways to form a tiling pattern which completely covers a planar region.
  • the straight line boundary elements of the same length are replaced by a curved boundary element that joins the same end points as the straight line boundary element.
  • This curved boundary element will have either an 'inward' or an 'outward' configuration such that an inward configured boundary element on one piece matches and joins to an outward configured boundary element on another piece.
  • This allows the production from the small set of polygons of a multitude of unique shapes by selecting for each line element one of the two possible configurations of the curved boundary element.
  • the resulting pieces can still be fitted together in a large number of ways to cover a region, but are constrained in doing so by the configuration of the matching boundary elements.
  • This curved boundary element may be as simple as a circular arc or, if an interlocking design is required, it could for example take the form of a more complex curve containing a jigsaw like lobe.
  • the surface design on each piece contain components which when put together with components on other pieces would form completed design components in the final picture.
  • each piece might contain parts of a circle such that a complete circle could be assembled by joining several pieces.
  • These surface design elements are designed in such a way that wherever they intersect a curved boundary element they do so in such a way as to form one of a small number of possible patterns along the boundary of the piece.
  • fitting two pieces together then requires that both the shape and the boundary pattern match along the abutted boundaries of the pieces.
  • the surface design can take any form. This allows the surface design to be more natural in appearance. Only the key surface design elements formed by the intersection of the surface design with the boundaries of the pieces would constrain the assembly of the pieces and the surface design may contain other elements which do not intersect the boundary of the piece.
  • the combination of the shape and the surface design elements in this way allows a large number of unique pieces to be constructed in a manner not contemplated by the prior art while still permitting the pieces to be assembled in a large number of ways.
  • the unique configuration of each piece offers a challenging visual matching task in fitting a piece onto the edge of an assembly of pieces.
  • the multiplicity of possible assemblies allows individual players to direct the construction by a suitable choice of piece to add.
  • the symmetric curved boundary element shown in FIG 2 is used to generate the shapes. Because the underlying polygon is rotationally symmetric and the two configurations of the boundary element are symmetric under rotation, some of the shapes generated by substituting the curved boundary element for the straight boundary elements are the same under some rotation, so there are in this case only 10 unique shapes. These shapes are shown in FIG 3, where the numbers labelling the pieces arise by interpreting the set of configurations of the curved boundary elements as the bits- in a binary representation of a number.
  • a suitable surface design comprises copies of a simple circular disc centred on the vertices of the base polygon.
  • For the rotationally symmetric shapes there will be 10 possible configurations of the surface patterns for each shape.
  • For the rotationally asymmetric shapes there are 16 possible unique configurations of the key surface design elements for each unique shape.
  • the surface designs for two of the shapes are shown in FIGS 4 and 5.
  • Another design example is based on the 'Kite and Dart' version of the Penrose Tiling pattern. This tiling uses the two polygons illustrated in FIG 6.
  • curved elements are designed with a lobe so that the pieces will interlock.
  • the curved boundary elements are made asymmetric with the lobe off-centre.
  • the inward and outward configurations for each side are then chosen such that the complementary configuration of a given curve cannot be used on a side of any other piece which is equivalent in the base polygon to the side occupied by the curve itself.
  • the allowed configuration of the curves on the two pieces are also constrained so that the tiles cannot be assembled with points L and E together or the points J and G together on abutted tiles..
  • FIG 9 illustrates four sub-sets 51 ,52,53,54 each of thirty two tiles corresponding to each of the shapes of tiles illustrated in FIGS 7 and 8.
  • Each individual tile shape in each sub-set for example the first shape in each of the FIGS 7 and 8 ie tiles 55a, 55b, 55c, 55d and 56a, 56b, 56c, 56d respectively, has four unique partial surface designs.
  • the four unique partial surface designs are common to each of the FIG 7 and FIG 8 tile shapes in each of the four sub-sets 51 ,52,53,54.
  • the full set of shapes thus results in 128 tiles each having a unique combination of shape and surface design. This design satisfies the requirement that the intersection of the surface design with the boundary element forms a small number of possible patterns for each curved boundary element (in this case two possible configurations) such that each piece will match with boundaries of a large subset of the other pieces.
  • FIG 10 illustrates two distinct matched tilings of this small subset of pieces each based on the same underlying polygon tiling.
  • FIG 11 illustrates another embodiment of the invention wherein the set of tiles is based on a hexagon. If all possible shapes were used with substitution of the sides by two configurations of the interlocking tongue and groove, the number of tiles would be extremely large. Accordingly in the embodiment shown the set of shapes has been limited to those shapes which have a rotational symmetry under rotations of 60 s , 120 s or 180 s . This limits the set of shapes to the five shapes seen in the top row of FIG 1 1.
  • the surface designs seen in FIG 11 simulate roads or road-like patterns and result in all possible configuration of edge patterns with a road intersection at or adjacent one or more of the vertices of the basic hexagon shape.
  • the resulting set of tiles seen in FIG 1 1 are each unique with a unique combination of basic shape and edge pattern.
  • FIG 12 illustrates how the variation of the partial surface designs of a hexagonally based tile can result in the same edge patterns.
  • the surface design pattern can constitute a map or plan of an area and can incorporate complimentary themes such as vegetation and buildings, green spaces and cities, islands and oceans, land and water etc. It is further envisaged that games having such themes can be combined with other games having other themes to constitute a macro- or super game.
  • FIG 13 illustrates a hexagonally based tile having the surface design themes of houses and vegetation.
  • the "surface" design may be three-dimensional in the sense that the shape of the surface of the tiles may be etched or raised to form a design as well as the case of a two dimensional colouring of the surface.
  • the tiles may carry land and sea elements which can form the key design elements, but there may also be birds animals and trees which are not key but which are likely to overlap the boundaries in some places by a small amount due perhaps to inaccuracies during in manufacture, or due to design constraints.
  • games can be played using the tile set of the present invention in a number of ways.
  • a number of players can compete using a single set of tiles with each player randomly taking tiles turned face up in a central location and joining tiles to create their own individual tiling pattern, with the winner being the player who has made the most number of completed patterns (such as complete circles).
  • players can take turns to take tiles from individually coloured sets of tiles, one set to each player, and compose a single tiling pattern with the winner being the player having most of his/her coloured tiles forming part of completed patterns.
  • the present invention involves a method for the design of game or puzzle pieces such that all pieces are unique but so that the pieces may be joined to construct a large number of possible designs, each possible design constrained so that any two joined pieces forming part of the design match in shape and surface design across the junction between the two joined pieces.
  • a large set of pieces each with a unique combination of shape and surface design, is constructed in such a way that for any given piece there are a large subset of the other pieces in the set which can be joined to the piece along a boundary such that the boundary shape and the surface design match along this boundary.

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

Abstract

L'invention concerne un ensemble de pavés destinés à un jeu et composé d'une pluralité de pavés uniques dont les formes dérivent d'au moins une forme basique polygonale. Pour chaque forme basique polygonale, il existe une pluralité de formes dérivées. Ces pavés possèdent des sommets qui correspondent aux sommets de la forme basique polygonale. La forme des côtés des formes basiques est modifiée de sorte que le premier et le second sous-groupes de côtés présentent des formes linéaires non droites qui sont asymétriques, chaque pavé comportant un dessin de surface.
PCT/AU2002/000560 2001-05-07 2002-05-07 Jeu et ensemble de pavés associés WO2002089934A1 (fr)

Applications Claiming Priority (4)

Application Number Priority Date Filing Date Title
AUPR4766 2001-05-07
AUPR4766A AUPR476601A0 (en) 2001-05-07 2001-05-07 Game and tile set
AU46155/01A AU745257B3 (en) 2001-05-07 2001-05-22 Game and tile set
AU46155/01 2001-05-22

Publications (1)

Publication Number Publication Date
WO2002089934A1 true WO2002089934A1 (fr) 2002-11-14

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PCT/AU2002/000560 WO2002089934A1 (fr) 2001-05-07 2002-05-07 Jeu et ensemble de pavés associés

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AU (1) AU745257B3 (fr)
WO (1) WO2002089934A1 (fr)

Cited By (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP1606467A2 (fr) * 2003-03-24 2005-12-21 Riccobene Designs LLC Unites de constructions quadrillees irregulieres
DE102007009498A1 (de) * 2007-02-27 2008-08-28 Binder, Octavian, Dipl.-Ing. Hexagonales Puzzle
US7637688B2 (en) 2003-09-18 2009-12-29 Riccobene Design Llc Irregular, tessellated building units
US7674067B2 (en) 2003-09-18 2010-03-09 Riccobene Designs Llc Irregular tessellated building units
EP2472016A2 (fr) * 2003-03-24 2012-07-04 Keystone Retaining Wall Systems, Inc. Unités de construction quadrillées irrégulières
US8298641B2 (en) 2003-03-24 2012-10-30 Keystone Retaining Wall Systems, Inc. Irregular tessellated building units
US8967907B2 (en) 2004-10-25 2015-03-03 Oldcastle Building Products Canada, Inc. Artificial flagstone for providing a surface with a natural random look
US9057197B2 (en) 2008-05-21 2015-06-16 Oldcastle Building Products Canada, Inc. Artificial stone
US9315950B2 (en) 2012-10-19 2016-04-19 Oldcastle Architectural, Inc. Paving stones
US9404226B2 (en) 2012-06-18 2016-08-02 Oldcastle Building Products Canada Inc. Dual-unit paving system

Citations (8)

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US3869125A (en) * 1970-01-09 1975-03-04 Marc Odier Game with arcuate pieces
US4133152A (en) * 1975-06-25 1979-01-09 Roger Penrose Set of tiles for covering a surface
DE3314496A1 (de) * 1983-04-21 1984-10-25 Goergens Alfred Zusammensetzspiel nach art eines puzzles
US5022655A (en) * 1989-08-16 1991-06-11 Meyer Karen E Jigsaw puzzle and technique
US5067714A (en) * 1989-06-23 1991-11-26 Leslie Rasberry Variable arrangement floral design jigsaw puzzle
GB2288549A (en) * 1994-04-22 1995-10-25 Martin James Sievey Apparatus for playing a game
US5481841A (en) * 1994-10-04 1996-01-09 Osborn; John A. L. Variably assemblable figurative tile set for covering surfaces
US5619830A (en) * 1995-03-13 1997-04-15 Osborn; John A. L. Variably assemblable figurative tiles for games, puzzles, and for covering surfaces

Patent Citations (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3869125A (en) * 1970-01-09 1975-03-04 Marc Odier Game with arcuate pieces
US4133152A (en) * 1975-06-25 1979-01-09 Roger Penrose Set of tiles for covering a surface
DE3314496A1 (de) * 1983-04-21 1984-10-25 Goergens Alfred Zusammensetzspiel nach art eines puzzles
US5067714A (en) * 1989-06-23 1991-11-26 Leslie Rasberry Variable arrangement floral design jigsaw puzzle
US5022655A (en) * 1989-08-16 1991-06-11 Meyer Karen E Jigsaw puzzle and technique
GB2288549A (en) * 1994-04-22 1995-10-25 Martin James Sievey Apparatus for playing a game
US5481841A (en) * 1994-10-04 1996-01-09 Osborn; John A. L. Variably assemblable figurative tile set for covering surfaces
US5619830A (en) * 1995-03-13 1997-04-15 Osborn; John A. L. Variably assemblable figurative tiles for games, puzzles, and for covering surfaces

Cited By (29)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8298641B2 (en) 2003-03-24 2012-10-30 Keystone Retaining Wall Systems, Inc. Irregular tessellated building units
EP2472016A3 (fr) * 2003-03-24 2013-10-09 Keystone Retaining Wall Systems LLC Unités de construction quadrillées irrégulières
US9745742B2 (en) 2003-03-24 2017-08-29 Keystone Retaining Wall Systems Llc Irregular tessellated building units
EP1606467A2 (fr) * 2003-03-24 2005-12-21 Riccobene Designs LLC Unites de constructions quadrillees irregulieres
US8888401B2 (en) 2003-03-24 2014-11-18 Keystone Retaining Wall Systems Llc Irregular tessellated building units
AU2004223326B2 (en) * 2003-03-24 2010-04-29 Keystone Retaining Wall Systems Llc Irregular tessellated building units
EP1606467A4 (fr) * 2003-03-24 2008-04-30 Riccobene Designs Llc Unites de constructions quadrillees irregulieres
EP2472017A2 (fr) * 2003-03-24 2012-07-04 Keystone Retaining Wall Systems, Inc. Unités de construction quadrillées irrégulières
US7993718B2 (en) 2003-03-24 2011-08-09 Keystone Retaining Wall Systems, Inc. Irregular tessellated building units
US9428906B2 (en) 2003-03-24 2016-08-30 Keystone Retaining Wall Systems Llc Irregular tessellated building units
EP2472016A2 (fr) * 2003-03-24 2012-07-04 Keystone Retaining Wall Systems, Inc. Unités de construction quadrillées irrégulières
EP2472017A3 (fr) * 2003-03-24 2013-10-09 Keystone Retaining Wall Systems LLC Unités de construction quadrillées irrégulières
US8609215B2 (en) 2003-03-24 2013-12-17 Keystone Retaining Wall Systems Llc Irregular tessellated building units
US7674067B2 (en) 2003-09-18 2010-03-09 Riccobene Designs Llc Irregular tessellated building units
US7637688B2 (en) 2003-09-18 2009-12-29 Riccobene Design Llc Irregular, tessellated building units
US8967907B2 (en) 2004-10-25 2015-03-03 Oldcastle Building Products Canada, Inc. Artificial flagstone for providing a surface with a natural random look
US9677228B2 (en) 2004-10-25 2017-06-13 Oldcastle Building Products Canada Inc. Artificial flagstone for providing a surface with a natural random look
US10240301B2 (en) 2004-10-25 2019-03-26 Oldcastle Building Products Canada, Inc. Artificial flagstone for providing a surface with a natural random look
US9193215B2 (en) 2004-10-25 2015-11-24 Oldcastle Building Products Canada, Inc. Artificial flagstone for providing a surface with a natural random look
US9534396B2 (en) 2004-10-25 2017-01-03 Oldcastle Building Products Canada, Inc. Artificial flagstone for providing a surface with a natural random look
DE102007009498A1 (de) * 2007-02-27 2008-08-28 Binder, Octavian, Dipl.-Ing. Hexagonales Puzzle
US9057197B2 (en) 2008-05-21 2015-06-16 Oldcastle Building Products Canada, Inc. Artificial stone
US9404226B2 (en) 2012-06-18 2016-08-02 Oldcastle Building Products Canada Inc. Dual-unit paving system
US9752288B2 (en) 2012-06-18 2017-09-05 Oldcastle Building Products Canada Inc. Dual-unit paving system
US10087585B2 (en) 2012-06-18 2018-10-02 Oldcastle Building Products Canada Inc. Dual-unit paving system
US10337152B2 (en) 2012-06-18 2019-07-02 Oldcastle Building Products Canada Inc. Dual-unit paving system
US9840813B2 (en) 2012-10-19 2017-12-12 Oldcastle Architectural, Inc. Paving stones
US10081918B2 (en) 2012-10-19 2018-09-25 Oldcastle Architectural, Inc. Paving stones
US9315950B2 (en) 2012-10-19 2016-04-19 Oldcastle Architectural, Inc. Paving stones

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