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Combination puzzle

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randomly placing the coloured stickers on the cube, but not all of these can be achieved by manipulating the cube rotations. Similarly, not all the combinations that are mechanically possible from a disassembled cube are possible by manipulation of the puzzle. Since neither unpeeling the stickers nor disassembling the cube is an allowed operation, the possible operations of rotating various faces limit what can be achieved.
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configuration, the configuration of the fused pieces is given in brackets. Thus, (as a simple regular cuboid example) a 2(2,2)x2(2,2)x2(2,2) is a 2×2×2 puzzle, but it was made by fusing a 4×4×4 puzzle. Puzzles which are constructed in this way are often called "bandaged" cubes. However, there are many irregular cuboids that have not (and often could not) be made by bandaging.
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Rubik's Clock is a two-sided puzzle, each side presenting nine clocks to the puzzler. There are four wheels, one at each corner of the puzzle, each allowing the corresponding corner clock to be rotated directly. There are also four pins next to the center clock, which control the rotation of the four
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Mechanically identical to the standard 3×3×3 cube, but with specially printed stickers for displaying the date. Much easier to solve since five of the six faces are ignored. Ideal produced a commercial version during the initial cube craze. Sticker sets are also available for converting a normal cube
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The Sudoku Cube was invented by veteran toy maker Jay Horowitz, a puzzle inventor who primarily reproduced older toys for the collectibles market. Horowitz first encountered the original Sudoku puzzle when a woman sitting next to him on a plane ride explained it to him. After being introduced to the
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pieces are then added, either modified from standard puzzles or made from scratch. The four shown here are only a sample from a very large number of examples. Those with two or three different numbers of even or odd rows also have the ability to change their shape. The Tower Cube was manufactured by
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The mechanical construction of the puzzle will usually define the rules by which the combination of pieces can be altered. This leads to some limitations on what combinations are possible. For instance, in the case of the Rubik's Cube, there are a large number of combinations that can be achieved by
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Mechanically identical to the 3×3×3 cube. It does, however, have an interesting difference in its solution. The vertical corner columns are different colours to the faces and do not match the colours of the vertical face columns. The corner columns can therefore be placed in any corner. On the face
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A rotating piece puzzle. Some rank its difficulty very high compared to complex 3D puzzles. There are other versions of this puzzle type including "Mini", "Pocket" and "Super", which have 2, 3 and 10 intersecting circles. There is an "Upgrade" mod which splits some of the large pieces into smaller
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A variation on the original Rubik's Cube where it can be turned in such a manner as to distort the cubical shape of the puzzle. The Square One consists of three layers. The upper and lower layers contain kite and triangular pieces. The middle layer contains two trapezoid pieces, which together may
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While appearing more difficult than the Skewb Diamond, it is functionally very similar to the Skewb and Skewb Diamond. The puzzle is cut in a different manner but the same solutions can be used to solve it by identifying what pieces are equivalent. Because faces of the Skewb Diamond correspond to
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An irregular cuboid, in the context of this article, is a cuboid puzzle where not all the pieces are the same size in edge length. This category of puzzle is often made by taking a larger regular cuboid puzzle and fusing together some of the pieces to make larger pieces. In the formulae for piece
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Siamese cubes are two or more puzzles that are fused so that some pieces are common to both cubes. The picture here shows two 3×3×3 cubes that have been fused. The largest example known to exist is in The Puzzle Museum and consists of three 5×5×5 cubes that are siamese fused 2×2×5 in two places.
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The inner circles of a Crazy cube 4x4x4 move with the second layer of each face. On a crazy cube type I, they are internally connected in such a way that they essentially move as 8 distinct pieces, not 24. To solve such a cube, think of it as a 2x2x2 (pocket cube) trapped inside a 4x4x4 (Rubik's
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There are many puzzles which are mechanically identical to the regular cuboids listed above but have variations in the pattern and colour of design. Some of these are custom made in very small numbers, sometimes for promotional events. The ones listed in the table below are included because the
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This is the 4-dimensional analog of a cube and thus cannot actually be constructed. However, it can be drawn or represented by a computer. Significantly more difficult to solve than the standard cube, although the techniques follow much the same principles. There are many other sizes of virtual
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Mechanically identical to the standard 3×3×3 cube. The pattern, which is often a promotional logo or pictures of performers, will usually have the effect of making the orientation of the centre pieces 'count' in the solution. The solution is therefore the same as the 'Magic Square' cube above.
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which owned molds. Horowitz worked for a month until he figured out how to combine the two puzzles together, and then when he figured it out, he "did not sleep for three days" while he worked out how to best arrange the numbers to create 18 unique Sudoku puzzles within the cube. Horowitz then
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Mechanically identical to the standard 3×3×3 cube. However, the numbers on the centre pieces force the solver to become aware that each one can be in one of four orientations, thus hugely increasing the total number of combinations. The number of combinations of centre face orientations is 4.
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Mechanically, no different from the puzzle above. However, the picture on the pieces gives it something of the nature of a jigsaw puzzle, in addition to being a combination puzzle. Note that the picture consists of a multitude of polyhedra which have been made into Rubik puzzles.
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Also known as Rubik's Sphere. Mechanically identical to the 3×3×3 cube in operation and solution. The only practical difference is that it is rather hard to grip. This accounts for the poor condition of this specimen, as the coloured stickers tend to get forced off in use.
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Mechanically identical to the standard 3×3×3 cube but not a real puzzle since all the faces are the same colour. There are also cubes which have only three colours, either one colour per pair of opposite faces or one colour per layer. Also known as the Dodo cube.
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A holey burr puzzle is characterised by internal holes, which usually allow for sliding movements of individual pieces or groups of pieces. The level of a holey burr puzzle specifies how many sliding movements are necessary to assemble or disassemble the puzzle.
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Similar to the original Rubik's Cube, the Skewb differs in that its four axes of rotation pass through the corners of the cube rather than the centres of the faces. As a result, it is a deep-cut puzzle in which each twist scrambles all six faces.
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Mechanically identical to the standard 3×3×3 cube. However the pieces are in some way tactile to allow operation by blind persons, or to solve blindfolded. The cube pictured is unicolor and has Braille characters embossed on the pieces, while
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of it, this makes the solution easier, however odd combinations of corner columns cannot be achieved by legal moves. The solver may unwittingly attempt an odd combination solution, but will not be aware of this until the last few pieces.
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Megaminx variants with multiple layers per face. The Gigaminx has 2 layers per face, for a total of 5 layers per edge; the Teraminx has 3 layers per face, 7 layers per edge; and the Petaminx has 4 layers per face, 9 layers per edge.
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to an existing puzzle. They therefore do not add to the complexity of the puzzle configuration, they just make it look more complex. Solution strategies remain the same, though a scrambled puzzle can have a strange appearance.
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patented the numerical design that he created. Mass production was completed in China by American Classic Toy Inc, a company belonging to Horowitz. The product was sold in the United States in retailers such as
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This was mass-produced by a Chinese company in 2015 using a Shapeways 3D print, without the permission of van Deventer. An agreement was later made with another company to acknowledge his contribution.
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puzzle, Horowitz wanted to introduce the puzzle to the games business, and had the idea of combining it with the Rubik's cube. Horowitz already had access to molds for the Rubik's Cube, as he owned the
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The cubelets are connected by an elastic band running through them. They can rotate freely. The aim of the puzzle is to arrange the chain in such a way that they will form 3 x 3 x 3 or 4 x 4 x 4 cube.
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Some would not count this as a combinational puzzle though it bears the Rubik name. Also known as Rubik's Twist. There is no one solution to this puzzle but multiple different shapes can be made.
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corners of the Skewb Ultimate, an additional constraint on the orientation of these pieces appears. Any Skewb Diamond solution thus requires a few additions in order to solve the Skewb Ultimate.
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Although a mechanical realization of the puzzle is usual, it is not actually necessary. It is only necessary that the rules for the operations are defined. The puzzle can be realized entirely in
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Solutions to this cube is similar to a regular 3x3x3 except that odd-parity combinations are possible with this puzzle. This cube uses a special mechanism due to absence of a central core.
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A dodecahedron cut into 20 corner pieces and 30 edge pieces. It is similar to the Megaminx, but is deeper cut, giving edges that behave differently from the Megaminx's edges when twisted.
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cuboid puzzles ranging from the trivial 3×3 to the 5-dimensional 7×7×7×7×7 which has only been solved twice so far. However, the 6×6×6×6×6 has only been solved once, since its
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Invented by Oskar van Deventer, it looks like a disproportional Rubik's Cube, but it allows the middle layer to turn 45 degrees and swap center pieces with edge pieces.
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Most of the puzzles in this class of puzzle are generally custom made in small numbers. Most of them start with the internal mechanism of a standard puzzle. Additional
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space or as a set of mathematical statements. In fact, there are some puzzles that can only be realized in virtual space. An example is the 4-dimensional 3×3×3×3
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However, odd combinations (overall odd number of rotations) of the centre faces cannot be achieved with legal operations. The increase is therefore x2 over the
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Panagiotis Verdes holds a patent to a method which is said to be able to make cubes up to 11×11×11. He has fully working products for 2×2×2 - 9×9×9 cubes.
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Similar to the Gear Cube but on one axis there are no gears allowing for 3x3x3 turns on the top and bottom layer. Significantly harder than a Gear cube.
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First rotational puzzle created that has just one colour, requiring the solver to restore the puzzle to its original cube form without colour aids.
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Mechanically identical to the 3×3×3 cube although the example pictured is easier to solve due to the restricted colour scheme. This puzzle is a
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made by Politechnika is coloured the same as the standard cube, but there is an embossed symbol on each square which corresponds to a colour.
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making the total approximately 10 combinations. This adds to the difficulty of the puzzle but not astronomically; only one or two additional
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form an irregular hexagon or a square. Square One is an example of another very large class of puzzle — cuboid puzzles which have
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An octahedral variation on the Skewb, it is a deep-cut puzzle very similar to the Skewb and is a dual-polyhedron transformation.
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A traditional sliding piece puzzle. There are now endless variations of this original puzzle implemented as computer games.
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Revenge). Solve the 2x2x2 first, then solve the 4x4x4 by making exchanges only. Solving the type II is much more difficult.
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Very possibly the simplest regular cuboid puzzle to solve. Completely trivial solution as the puzzle consists of only two
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These ubiquitous puzzles come in many sizes and designs. The traditional design is with numbers and the solution forms a
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pieces are oblong rather than square. There is in existence a similar puzzle actually called Rhombicuboctahedron which
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The BrainTwist is a unique tetrahedral puzzle with an ability to "flip", showing only half of the puzzle at a time.
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there is also a "2 3x3x3 fused 2x2x2" version called the fused cube. The first Siamese cube was made by
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A combination puzzle is solved by achieving a particular combination starting from a random (scrambled)
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Mechanically identical to the Pocket Cube. However, much easier to solve as it only uses two colours.
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There have been many different shapes of Rubik type puzzles constructed. As well as cubes, all of the
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and sold for $ 9.87 each. The price was chosen specifically because each number only appears once.
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The Dogic is an icosahedron cut into 60 triangular pieces around its 12 tips and 20 face centers.
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in 1981. This has been credited as the first example of a "handmade modified rotational puzzle".
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Tetrahedral-shaped puzzle with axes on the corners and trivial tips. It was invented in 1970 by
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pattern in some way affects the difficulty of the solution or is notable in some other way.
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This is a simple example of one a large number of bandaged cube types that have been made.
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for the corner pieces are required. It is nevertheless surprisingly non-trivial to solve.
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puzzles on the sides or rows. The toy was originally created in 2006 by Jay Horowitz in
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Piece configuration: 5 intersecting circular rotational groups of oddly shaped pieces
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are required to affect a solution. Note that the puzzle can be treated as a number
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Solution is much the same as 3×3×3 cube except additional (and relatively simple)
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Solution is much the same as 3×3×3 cube except additional (and relatively simple)
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12-sided polyhedron puzzle similar to Rubik's Cube in operation and solution.
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Another virtual puzzle in the Rubik series, but this time a very simple one.
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Piece configuration: gigaminx is 5x5x5, teraminx is 7x7x7, petaminx is 9x9x9
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company Gentosha Education; it is the third "Okamoto Cube" (invented by
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A bandaged cube is a cube where some of the pieces are stuck together.
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Edge turning tetrahedron shaped puzzle with a 2×2×2 cube mechanism.
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of pieces which can be manipulated into different combinations by a
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Horowitz promoted his new product in at toy fairs such as the 2007
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does not remain constant (due to not having proper center pieces)
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The Cube. The Ultimate Guide to the World’s Best Selling Puzzles
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Virtual 4-dimensional puzzle, the 4-D analogue of the Megaminx.
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Experimental cube made by 3-D printing of plastic invented by
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Not entirely 2D. Involves flipping parts back onto itself.
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N-dimensional sequential move puzzles § Magic 120-cell
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ones. This puzzle's current production status is unknown.
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N-dimensional sequential move puzzles § 3x3 2D square
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puzzle similar to Rubik's Cube in operation and solution.
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Published by Black Dog & Leventhal Publishers, Inc (
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puzzle similar to Pocket Cube in operation and solution.
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Simpler to solve than the standard cube in that only the
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Combines the concepts of the gear cube and mixup cube.
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Adrienne Citrin, the spokeswoman for the 1055:Piece configuration: two 3×3×3 fused 1×1×3 64:Learn how and when to remove these messages 3767: 3377: 3188: 3174: 3166: 2635: 2588: 2524: 2493: 2471: 2449: 2423: 2371: 2325: 2299: 2272: 2252:Piece configuration: 2×2×2-1 sliding cubes 2242: 2225:Piece configuration: 6 interlocking sticks 2223:Name: holey burr puzzles with level > 1 2215: 2169: 2051: 2024: 1992: 1961: 1930: 1899: 1864: 1829: 1773: 1742: 1707: 1664: 1642: 1583: 1555: 1523: 1348: 1318: 1292: 1237: 1184: 1155: 1150: 1118: 1092: 1043: 955: 916: 881: 846: 815: 780: 617: 603: 284: 252: 2613:Gear Cube Extreme and Gear Cube Ultimate 1431:in which the aim is to solve one or more 1381:puzzle on each of the six faces with the 241:Learn how and when to remove this message 223:Learn how and when to remove this message 161:Learn how and when to remove this message 27:Puzzles solved by mechanical manipulation 2915: 2913: 2911: 2571: 2356: 2200: 2154: 1692: 1508: 1221: 765: 3129:van Deventer, Oskar (24 October 2015). 2702: 476: 458: 431: 343: 310: 287: 260: 3044: 931:Piece configuration: 2×2×2 to 11×11×11 3042: 3040: 3038: 3036: 3034: 3032: 3030: 3028: 3026: 3024: 2681:N-dimensional sequential move puzzles 2335:Piece configuration: 1x1x27 or 1x1x64 976:N-dimensional sequential move puzzles 7: 3892:1982 World Rubik's Cube Championship 3112:"top 5 hardest massproduced puzzles" 1612:that are not themselves all cuboid. 99:adding citations to reliable sources 3886:The Simple Solution to Rubik's Cube 2600:This twisty puzzle was invented by 2444:The original sliding piece puzzle. 3151:A large database of twisty puzzles 2904:. The Puzzle Museum. January 2003. 2691:List of Rubik's Cube manufacturers 25: 3257:Rubik's family cubes of all sizes 2404:Sliding piece puzzle with picture 2197:Non-Rubik style three-dimensional 2100:Commercial Name: Pyraminx Crystal 1872:Commercial Name: Alexander's Star 1450:A scrambled colorless Sudoku Cube 1021:Piece configuration (4th): 2×2×6 889:Commercial name: Professor's Cube 641:A disassembled modern Rubik's 3x3 45:This article has multiple issues. 2092: 1804: 1019:Piece configuration (3rd): 3×4×4 1017:Piece configuration (2nd): 2×3×3 1015:Piece configuration (1st): 2×2×3 854:Commercial name: Rubik's Revenge 268: 177: 75: 34: 3871:Rubik's Cube in popular culture 3161:The Magic Polyhedra Patent Page 2126:Commercial Name: Magic 120-cell 2000:Commercial Name: Skewb Ultimate 1483:American International Toy Fair 1341:the original "Blind Man's Cube" 633:A combination puzzle collection 86:needs additional citations for 53:or discuss these issues on the 2711:"MagicCube5D Hall of Insanity" 2307:Commercial Name: Rubik's Snake 2280:Commercial Name: Rubik's Clock 1969:Commercial Name: Skewb Diamond 1300:Commercial name: Calendar Cube 1199:Piece configuration: 17x17x17 1: 3057:. Vol. 4. Archived from 2501:Commercial name:2D Magic Cube 2483:Rubik's Magic: Master Edition 2231:Burr puzzle § Holey burr 2059:Commercial Name: Diamond Cube 1487:Hong Kong Toys and Games Fair 1191:Commercial name: Over The Top 1134:Piece configuration: 3x3x3-7. 823:Commercial name: Rubik's Cube 3101:, page 209, 9 September 1982 3080:US patent US2007267813A1 3006:. 2007-02-17. Archived from 3003:International Herald Tribune 2964:. 2007-02-17. Archived from 2961:International Herald Tribune 2902:"Collection of cube puzzles" 2133:Piece configuration: 3×3×3×3 2032:Commercial Name: Barrel Cube 1892:Nonconvex uniform polyhedron 1837:Commercial Name: Impossiball 1750:Commercial Name: Pyramorphix 1570:Piece configuration: various 1274:Commercial name: Fooler Cube 1246:Commercial name: Junior Cube 1174:Piece configuration: 4x4x4. 1053:Geometric shape: Fused cubes 970:Piece configuration: 3×3×3×3 788:Commercial name: Pocket Cube 2333:Commercial Name: Snake Cube 2309:Piece configuration: 1x1x24 2250:Commercial Name: Minus Cube 2177:Commercial Name: Magic Ball 1907:Commercial Name: BrainTwist 1672:Commercial name: Mixup Cube 1591:Commercial name: Square One 1497:under the name "Sudokube". 1356:Commercial Name: Magic Cube 1259:Pocket Cube § Variants 1078:Piece configuration: 3×3×5 1030:Chronos and distributed by 203:the claims made and adding 3939: 3834:Thistlethwaite's algorithm 2537: 2511: 2480: 2458: 2436: 2433:Piece configuration: 4×4-1 2409: 2384: 2338: 2312: 2285: 2255: 2228: 2184:Piece configuration: 3×3×3 2136: 2110: 2107:Piece configuration: 3x3x3 2066:Piece configuration: 3×3×3 2040:Piece configuration: 3×3×3 2010: 2007:Piece configuration: 3x3x3 1979: 1976:Piece configuration: 3x3x3 1948: 1945:Piece configuration: 4x4x4 1917: 1914:Piece configuration: 2x2x2 1882: 1879:Piece configuration: 3x3x3 1847: 1844:Piece configuration: 2x2x2 1791: 1788:Piece configuration: 3×3×3 1760: 1757:Piece configuration: 2×2×2 1725: 1722:Piece configuration: 3×3×3 1599: 1541: 1538:Piece configuration: 3x3x3 1402:Piece configuration: 3×3×3 1363:Piece configuration: 3×3×3 1333:Piece configuration: 3×3×3 1326:Rubik's Cube for the blind 1307:Piece configuration: 3×3×3 1281:Piece configuration: 3×3×3 1256: 1253:Piece configuration: 2×2×2 1137: 1126:Commercial name: Void cube 1104:Piece configuration: 1×1×2 1100:Commercial name: Boob cube 973: 934: 899: 896:Piece configuration: 5×5×5 864: 861:Piece configuration: 4×4×4 841:The original Rubik's Cube 833: 830:Piece configuration: 3×3×3 798: 795:Piece configuration: 2×2×2 744:polyhedra have been made. 2736:"2×2×3 (aka: Slim Tower)" 2577: 2362: 2206: 2160: 1839:Geometric shape: Rounded 1781:Commercial Name: Megaminx 1715:Commercial Name: Pyraminx 1698: 1514: 1227: 771: 720:puzzle, simulated by the 3277:5×5×5 (Professor's Cube) 3049:Pawlyna, Andrea (2007). 2508:Piece configuration: 3×3 2406:Piece configuration: 7×7 2381:Piece configuration: 7×7 1491:Toy Industry Association 993:Slim Tower or Tower Cube 669:. Many such puzzles are 3877:Rubik, the Amazing Cube 3272:4×4×4 (Rubik's Revenge) 3116:TwistyPuzzles.com Forum 2942:"YuXin HuangLong 17x17" 1385:being 15 in this case. 924:Commercial name: V-CUBE 3855:World Cube Association 3730:Anthony Michael Brooks 3690:Krishnam Raju Gadiraju 2919:Slocum, Jerry (2009), 2294:adjacent clock faces. 2151:Other geometric shapes 1938:Commercial Name: Dogic 1531:Commercial name: Skewb 1451: 651:sequential move puzzle 642: 634: 3848:Official organization 3502:Truncated icosahedron 2819:"Rubik's Tower 2×2×4" 1449: 640: 632: 3267:3×3×3 (Rubik's Cube) 2478:Rubik's Master Magic 2379:Sliding piece puzzle 1427:is a variation on a 1102:Geometric shape: Box 1076:Geometric shape: Box 963:4-Dimensional puzzle 657:which consists of a 110:"Combination puzzle" 95:improve this article 3913:Combination puzzles 3542:Virtual combination 3374:combination puzzles 3336:combination puzzles 3262:2×2×2 (Pocket Cube) 2073:rhombicuboctahedron 2063:Rhombicuboctahedron 1602:Square One (puzzle) 1008:Non-uniform cuboids 579:Nikoli puzzle types 256:Part of a series on 3923:Mechanical puzzles 3839:Rubik's Cube group 3685:Prithveesh K. Bhat 3609:Rubik's Revolution 3484:Great dodecahedron 3236:Oskar van Deventer 3051:"World Enterprise" 2653:David's Gear Cube 2602:Oskar van Deventer 1876:Great dodecahedron 1467:Barnes & Noble 1452: 1214:Pattern variations 1205:Oskar van Deventer 1167:Crazy cube type II 671:mechanical puzzles 649:, also known as a 647:combination puzzle 643: 635: 584:Puzzle video games 569:Impossible puzzles 460:Puzzle video games 188:possibly contains 3900: 3899: 3812: 3811: 3537: 3536: 3301:Variations of the 3231:Panagiotis Verdes 3156:The Puzzle Museum 2929:978-1-57912-805-0 2877:TwistyPuzzles.com 2848:TwistyPuzzles.com 2794:TwistyPuzzles.com 2740:TwistyPuzzles.com 2672: 2671: 2565: 2564: 2350: 2349: 2194: 2193: 2179:Geometric shape: 2148: 2147: 2128:Geometric shape: 2102:Geometric shape: 2061:Geometric shape: 2034:Geometric shape: 2002:Geometric shape: 1971:Geometric shape: 1940:Geometric shape: 1909:Geometric shape: 1874:Geometric shape: 1814:Geometric shape: 1783:Geometric shape: 1752:Geometric shape: 1717:Geometric shape: 1686: 1685: 1674:Geometric shape: 1652:Geometric shape: 1629:Geometric shape: 1623:Commercial name: 1593:Geometric shape: 1565:Geometric shape: 1533:Geometric shape: 1501:Irregular cuboids 1462:Ideal Toy Company 1412: 1411: 1397:Geometric shape: 1358:Geometric shape: 1328:Geometric shape: 1313:into a calendar. 1302:Geometric shape: 1276:Geometric shape: 1248:Geometric shape: 1211: 1210: 1194:Geometric shape: 1169:Geometric shape: 1165:Crazy cube type I 1128:Geometric shape: 1036:Katsuhiko Okamoto 1010:Geometric shape: 965:Geometric shape: 926:Geometric shape: 891:Geometric shape: 856:Geometric shape: 825:Geometric shape: 790:Geometric shape: 734:regular polyhedra 627: 626: 483: 482: 251: 250: 243: 233: 232: 225: 190:original research 171: 170: 163: 145: 68: 16:(Redirected from 3930: 3864:Related articles 3768: 3715:David Singmaster 3675:Shotaro Makisumi 3650:Jessica Fridrich 3628:Renowned solvers 3544:puzzles (>3D) 3492:Alexander's Star 3446:Pyraminx Crystal 3378: 3320:Nine-Colour Cube 3292:8×8×8 (V-Cube 8) 3287:7×7×7 (V-Cube 7) 3282:6×6×6 (V-Cube 6) 3204:Puzzle inventors 3190: 3183: 3176: 3167: 3138: 3137: 3135: 3126: 3120: 3119: 3108: 3102: 3095: 3089: 3088: 3087: 3083: 3076: 3070: 3069: 3067: 3066: 3055:World Enterprise 3046: 3019: 3018: 3016: 3015: 2994: 2977: 2976: 2974: 2973: 2952: 2946: 2945: 2938: 2932: 2917: 2906: 2905: 2898: 2892: 2891: 2889: 2888: 2879:. Archived from 2869: 2863: 2862: 2860: 2859: 2850:. Archived from 2840: 2834: 2833: 2831: 2830: 2821:. Archived from 2815: 2809: 2808: 2806: 2805: 2796:. Archived from 2786: 2780: 2779: 2777: 2776: 2761: 2755: 2754: 2752: 2751: 2742:. Archived from 2732: 2726: 2725: 2723: 2722: 2713:. Archived from 2707: 2642:Gear Cube 5x5x5 2639: 2592: 2572: 2528: 2503:Geometric shape: 2497: 2475: 2453: 2427: 2375: 2357: 2329: 2303: 2276: 2246: 2219: 2201: 2173: 2155: 2113:Pyraminx Crystal 2096: 2055: 2028: 1996: 1965: 1934: 1903: 1885:Alexander's Star 1868: 1833: 1808: 1777: 1746: 1711: 1693: 1668: 1646: 1587: 1559: 1527: 1509: 1352: 1322: 1296: 1241: 1222: 1188: 1163:Commercial name: 1159: 1154: 1132:with 1 iteration 1122: 1096: 1047: 959: 920: 902:Professor's Cube 885: 850: 819: 784: 766: 736:and many of the 675:polyhedral shape 619: 612: 605: 574:Maze video games 563: 523:Packing problems 518:Optical illusion 496: 285: 281: 272: 253: 246: 239: 228: 221: 217: 214: 208: 205:inline citations 181: 180: 173: 166: 159: 155: 152: 146: 144: 103: 79: 71: 60: 38: 37: 30: 21: 3938: 3937: 3933: 3932: 3931: 3929: 3928: 3927: 3903: 3902: 3901: 3896: 3859: 3843: 3824:God's algorithm 3808: 3782: 3759: 3720:Ron van Bruchem 3645:Bob Burton, Jr. 3640:Édouard Chambon 3623: 3619:Rubik's Triamid 3570: 3543: 3533: 3514: 3496: 3478: 3455: 3427: 3409: 3373: 3367: 3343:Helicopter Cube 3335: 3329: 3302: 3296: 3240: 3199: 3194: 3147: 3142: 3141: 3133: 3128: 3127: 3123: 3110: 3109: 3105: 3096: 3092: 3085: 3078: 3077: 3073: 3064: 3062: 3048: 3047: 3022: 3013: 3011: 2996: 2995: 2980: 2971: 2969: 2954: 2953: 2949: 2940: 2939: 2935: 2918: 2909: 2900: 2899: 2895: 2886: 2884: 2871: 2870: 2866: 2857: 2855: 2842: 2841: 2837: 2828: 2826: 2817: 2816: 2812: 2803: 2801: 2788: 2787: 2783: 2774: 2772: 2763: 2762: 2758: 2749: 2747: 2734: 2733: 2729: 2720: 2718: 2709: 2708: 2704: 2699: 2677: 2570: 2556: 2554: 2542: 2535: 2533: 2516: 2509: 2507: 2502: 2485: 2479: 2463: 2457: 2441: 2434: 2432: 2414: 2407: 2405: 2389: 2382: 2380: 2355: 2353:Two-dimensional 2343: 2336: 2334: 2317: 2310: 2308: 2290: 2283: 2281: 2260: 2253: 2251: 2233: 2226: 2224: 2199: 2185: 2183: 2178: 2153: 2141: 2134: 2132: 2127: 2115: 2108: 2106: 2101: 2067: 2065: 2060: 2041: 2039: 2036:Octagonal Prism 2033: 2015: 2008: 2006: 2001: 1984: 1977: 1975: 1970: 1953: 1946: 1944: 1939: 1922: 1915: 1913: 1908: 1887: 1880: 1878: 1873: 1852: 1845: 1843: 1838: 1818: 1813: 1796: 1789: 1787: 1782: 1765: 1758: 1756: 1751: 1730: 1723: 1721: 1716: 1691: 1689:Other polyhedra 1678: 1673: 1656: 1651: 1633: 1628: 1604: 1597: 1592: 1571: 1569: 1564: 1546: 1539: 1537: 1532: 1503: 1479: 1457: 1417: 1403: 1401: 1396: 1395:Patterned cubes 1364: 1362: 1357: 1334: 1332: 1327: 1308: 1306: 1301: 1282: 1280: 1275: 1261: 1254: 1252: 1247: 1216: 1198: 1192: 1173: 1168: 1166: 1164: 1142: 1135: 1133: 1127: 1105: 1103: 1101: 1077: 1075: 1054: 1052: 1020: 1018: 1016: 1014: 1009: 978: 971: 969: 964: 947: 935:Main articles: 932: 930: 925: 904: 897: 895: 890: 869: 867:Rubik's Revenge 862: 860: 855: 838: 831: 829: 824: 803: 796: 794: 789: 750: 748:Regular cuboids 730: 691: 623: 594: 593: 564: 561: 554: 553: 552: 533:Problem solving 497: 492: 485: 484: 417: 364:Disentanglement 282: 279: 247: 236: 235: 234: 229: 218: 212: 209: 194: 182: 178: 167: 156: 150: 147: 104: 102: 92: 80: 39: 35: 28: 23: 22: 15: 12: 11: 5: 3936: 3934: 3926: 3925: 3920: 3915: 3905: 3904: 3898: 3897: 3895: 3894: 3889: 3882: 3881: 3880: 3867: 3865: 3861: 3860: 3858: 3857: 3851: 3849: 3845: 3844: 3842: 3841: 3836: 3831: 3826: 3820: 3818: 3814: 3813: 3810: 3809: 3807: 3806: 3801: 3796: 3794:Layer by Layer 3790: 3788: 3784: 3783: 3781: 3780: 3774: 3772: 3765: 3761: 3760: 3758: 3757: 3752: 3747: 3742: 3740:Feliks Zemdegs 3737: 3732: 3727: 3722: 3717: 3712: 3707: 3702: 3697: 3692: 3687: 3682: 3677: 3672: 3667: 3662: 3657: 3655:Chris Hardwick 3652: 3647: 3642: 3637: 3631: 3629: 3625: 3624: 3622: 3621: 3616: 3611: 3606: 3605: 3604: 3602:Master Edition 3594: 3589: 3584: 3578: 3576: 3572: 3571: 3569: 3568: 3566:Magic 120-cell 3563: 3558: 3553: 3547: 3545: 3539: 3538: 3535: 3534: 3532: 3531: 3528:Rubik's Domino 3524: 3522: 3516: 3515: 3513: 3512: 3506: 3504: 3498: 3497: 3495: 3494: 3488: 3486: 3480: 3479: 3477: 3476: 3471: 3465: 3463: 3457: 3456: 3454: 3453: 3451:Skewb Ultimate 3448: 3443: 3437: 3435: 3429: 3428: 3426: 3425: 3419: 3417: 3411: 3410: 3408: 3407: 3402: 3397: 3392: 3386: 3384: 3375: 3369: 3368: 3366: 3365: 3360: 3355: 3350: 3345: 3339: 3337: 3331: 3330: 3328: 3327: 3322: 3317: 3312: 3306: 3304: 3298: 3297: 3295: 3294: 3289: 3284: 3279: 3274: 3269: 3264: 3259: 3254: 3248: 3246: 3242: 3241: 3239: 3238: 3233: 3228: 3223: 3218: 3213: 3207: 3205: 3201: 3200: 3195: 3193: 3192: 3185: 3178: 3170: 3164: 3163: 3158: 3153: 3146: 3145:External links 3143: 3140: 3139: 3121: 3103: 3090: 3071: 3020: 2978: 2947: 2933: 2907: 2893: 2864: 2844:"Specter Cube" 2835: 2810: 2781: 2756: 2727: 2701: 2700: 2698: 2695: 2694: 2693: 2688: 2683: 2676: 2673: 2670: 2669: 2667: 2665: 2662: 2659: 2658: 2656: 2654: 2651: 2648: 2647: 2643: 2640: 2632: 2631: 2629: 2626: 2623: 2620: 2619: 2617: 2614: 2611: 2608: 2607: 2605: 2598: 2593: 2585: 2584: 2582: 2579: 2576: 2569: 2568:Geared puzzles 2566: 2563: 2562: 2558: 2550: 2547: 2546: 2543: 2538:Main article: 2529: 2521: 2520: 2517: 2512:Main article: 2498: 2490: 2489: 2486: 2481:Main article: 2476: 2468: 2467: 2464: 2459:Main article: 2454: 2446: 2445: 2442: 2439:Fifteen puzzle 2437:Main article: 2431:Fifteen puzzle 2428: 2420: 2419: 2415: 2412:Sliding puzzle 2410:Main article: 2401: 2398: 2397: 2390: 2387:Sliding puzzle 2385:Main article: 2376: 2368: 2367: 2364: 2361: 2354: 2351: 2348: 2347: 2344: 2339:Main article: 2330: 2322: 2321: 2318: 2313:Main article: 2304: 2296: 2295: 2291: 2286:Main article: 2277: 2269: 2268: 2261: 2256:Main article: 2247: 2239: 2238: 2234: 2229:Main article: 2220: 2212: 2211: 2208: 2205: 2198: 2195: 2192: 2191: 2187: 2174: 2166: 2165: 2162: 2159: 2152: 2149: 2146: 2145: 2142: 2137:Main article: 2123: 2120: 2119: 2116: 2111:Main article: 2097: 2089: 2088: 2069: 2056: 2048: 2047: 2043: 2029: 2021: 2020: 2016: 2013:Skewb Ultimate 2011:Main article: 1997: 1989: 1988: 1985: 1980:Main article: 1966: 1958: 1957: 1954: 1949:Main article: 1935: 1927: 1926: 1923: 1918:Main article: 1904: 1896: 1895: 1888: 1883:Main article: 1869: 1861: 1860: 1853: 1848:Main article: 1834: 1826: 1825: 1821: 1809: 1801: 1800: 1797: 1792:Main article: 1778: 1770: 1769: 1766: 1761:Main article: 1747: 1739: 1738: 1731: 1726:Main article: 1712: 1704: 1703: 1700: 1697: 1690: 1687: 1684: 1683: 1680: 1669: 1661: 1660: 1658: 1647: 1639: 1638: 1635: 1620: 1614: 1613: 1605: 1600:Main article: 1588: 1580: 1579: 1573: 1563:Bandaged Cubes 1560: 1552: 1551: 1547: 1542:Main article: 1528: 1520: 1519: 1516: 1513: 1502: 1499: 1478: 1475: 1456: 1453: 1416: 1413: 1410: 1409: 1405: 1392: 1387: 1386: 1383:magic constant 1366: 1353: 1345: 1344: 1336: 1323: 1315: 1314: 1310: 1297: 1289: 1288: 1284: 1271: 1266: 1265: 1262: 1257:Main article: 1243: 1233: 1232: 1229: 1226: 1215: 1212: 1209: 1208: 1201: 1189: 1181: 1180: 1176: 1160: 1147: 1146: 1143: 1138:Main article: 1123: 1115: 1114: 1107: 1097: 1089: 1088: 1080: 1074:Extended cubes 1071: 1066: 1065: 1057: 1048: 1040: 1039: 1023: 1005: 1004: 1003: 1000: 997: 994: 988: 987: 979: 974:Main article: 960: 952: 951: 948: 921: 913: 912: 905: 900:Main article: 886: 878: 877: 870: 865:Main article: 851: 843: 842: 839: 834:Main article: 820: 812: 811: 804: 799:Main article: 785: 777: 776: 773: 770: 749: 746: 729: 726: 703:twisty puzzles 690: 687: 679:twisty puzzles 625: 624: 622: 621: 614: 607: 599: 596: 595: 592: 591: 586: 581: 576: 571: 565: 560: 559: 556: 555: 551: 550: 545: 540: 535: 530: 525: 520: 515: 510: 505: 499: 498: 491: 490: 487: 486: 481: 480: 474: 473: 472: 471: 463: 462: 456: 455: 454: 453: 448: 440: 439: 429: 428: 427: 426: 415: 410: 405: 397: 396: 395: 394: 389: 384: 379: 371: 366: 361: 356: 348: 347: 341: 340: 339: 338: 336:Self-reference 333: 328: 323: 315: 314: 308: 307: 306: 305: 300: 292: 291: 283: 278: 277: 274: 273: 265: 264: 258: 257: 249: 248: 231: 230: 185: 183: 176: 169: 168: 83: 81: 74: 69: 43: 42: 40: 33: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 3935: 3924: 3921: 3919: 3916: 3914: 3911: 3910: 3908: 3893: 3890: 3888: 3887: 3883: 3879: 3878: 3874: 3873: 3872: 3869: 3868: 3866: 3862: 3856: 3853: 3852: 3850: 3846: 3840: 3837: 3835: 3832: 3830: 3827: 3825: 3822: 3821: 3819: 3815: 3805: 3802: 3800: 3797: 3795: 3792: 3791: 3789: 3785: 3779: 3776: 3775: 3773: 3769: 3766: 3762: 3756: 3753: 3751: 3748: 3746: 3743: 3741: 3738: 3736: 3733: 3731: 3728: 3726: 3725:Eric Limeback 3723: 3721: 3718: 3716: 3713: 3711: 3708: 3706: 3703: 3701: 3698: 3696: 3693: 3691: 3688: 3686: 3683: 3681: 3678: 3676: 3673: 3671: 3668: 3666: 3663: 3661: 3658: 3656: 3653: 3651: 3648: 3646: 3643: 3641: 3638: 3636: 3633: 3632: 3630: 3626: 3620: 3617: 3615: 3614:Rubik's Snake 3612: 3610: 3607: 3603: 3600: 3599: 3598: 3597:Rubik's Magic 3595: 3593: 3592:Rubik's Clock 3590: 3588: 3585: 3583: 3580: 3579: 3577: 3573: 3567: 3564: 3562: 3559: 3557: 3554: 3552: 3549: 3548: 3546: 3540: 3529: 3526: 3525: 3523: 3521: 3517: 3511: 3508: 3507: 3505: 3503: 3499: 3493: 3490: 3489: 3487: 3485: 3481: 3475: 3472: 3470: 3467: 3466: 3464: 3462: 3458: 3452: 3449: 3447: 3444: 3442: 3439: 3438: 3436: 3434: 3430: 3424: 3423:Skewb Diamond 3421: 3420: 3418: 3416: 3412: 3406: 3403: 3401: 3398: 3396: 3393: 3391: 3388: 3387: 3385: 3383: 3379: 3376: 3370: 3364: 3361: 3359: 3356: 3354: 3351: 3349: 3346: 3344: 3341: 3340: 3338: 3332: 3326: 3323: 3321: 3318: 3316: 3313: 3311: 3308: 3307: 3305: 3299: 3293: 3290: 3288: 3285: 3283: 3280: 3278: 3275: 3273: 3270: 3268: 3265: 3263: 3260: 3258: 3255: 3253: 3250: 3249: 3247: 3245:Rubik's Cubes 3243: 3237: 3234: 3232: 3229: 3227: 3224: 3222: 3219: 3217: 3216:Larry Nichols 3214: 3212: 3209: 3208: 3206: 3202: 3198: 3191: 3186: 3184: 3179: 3177: 3172: 3171: 3168: 3162: 3159: 3157: 3154: 3152: 3149: 3148: 3144: 3132: 3125: 3122: 3117: 3113: 3107: 3104: 3100: 3099:New Scientist 3097:Tony Durham, 3094: 3091: 3081: 3075: 3072: 3061:on 2009-04-03 3060: 3056: 3052: 3045: 3043: 3041: 3039: 3037: 3035: 3033: 3031: 3029: 3027: 3025: 3021: 3010:on 2008-10-15 3009: 3005: 3004: 2999: 2993: 2991: 2989: 2987: 2985: 2983: 2979: 2968:on 2008-10-15 2967: 2963: 2962: 2957: 2951: 2948: 2943: 2937: 2934: 2930: 2926: 2922: 2916: 2914: 2912: 2908: 2903: 2897: 2894: 2883:on 2016-03-04 2882: 2878: 2874: 2868: 2865: 2854:on 2016-03-03 2853: 2849: 2845: 2839: 2836: 2825:on 2016-02-03 2824: 2820: 2814: 2811: 2800:on 2016-03-03 2799: 2795: 2791: 2785: 2782: 2771:on 2016-03-04 2770: 2766: 2760: 2757: 2746:on 2016-03-03 2745: 2741: 2737: 2731: 2728: 2717:on 2016-03-03 2716: 2712: 2706: 2703: 2696: 2692: 2689: 2687: 2684: 2682: 2679: 2678: 2674: 2668: 2666: 2663: 2661: 2660: 2657: 2655: 2652: 2650: 2649: 2644: 2641: 2638: 2634: 2633: 2630: 2627: 2624: 2622: 2621: 2618: 2615: 2612: 2610: 2609: 2606: 2603: 2599: 2597: 2594: 2591: 2587: 2586: 2583: 2580: 2574: 2573: 2567: 2559: 2557: 2551: 2549: 2548: 2544: 2541: 2536: 2530: 2527: 2523: 2522: 2518: 2515: 2510: 2506: 2499: 2496: 2492: 2491: 2487: 2484: 2477: 2474: 2470: 2469: 2465: 2462: 2461:Rubik's Magic 2456:Rubik's Magic 2455: 2452: 2448: 2447: 2443: 2440: 2435: 2429: 2426: 2422: 2421: 2416: 2413: 2408: 2402: 2400: 2399: 2395: 2391: 2388: 2383: 2377: 2374: 2370: 2369: 2365: 2359: 2358: 2352: 2345: 2342: 2337: 2331: 2328: 2324: 2323: 2319: 2316: 2315:Rubik's Snake 2311: 2305: 2302: 2298: 2297: 2292: 2289: 2288:Rubik's Clock 2284: 2278: 2275: 2271: 2270: 2266: 2262: 2259: 2254: 2248: 2245: 2241: 2240: 2235: 2232: 2227: 2221: 2218: 2214: 2213: 2209: 2203: 2202: 2196: 2188: 2186: 2182: 2175: 2172: 2168: 2167: 2163: 2157: 2156: 2150: 2143: 2140: 2135: 2131: 2124: 2122: 2121: 2117: 2114: 2109: 2105: 2098: 2095: 2091: 2090: 2086: 2082: 2078: 2074: 2070: 2068: 2064: 2057: 2054: 2050: 2049: 2044: 2042: 2037: 2030: 2027: 2023: 2022: 2017: 2014: 2009: 2005: 1998: 1995: 1991: 1990: 1986: 1983: 1982:Skewb Diamond 1978: 1974: 1967: 1964: 1960: 1959: 1955: 1952: 1947: 1943: 1936: 1933: 1929: 1928: 1924: 1921: 1916: 1912: 1905: 1902: 1898: 1897: 1893: 1889: 1886: 1881: 1877: 1870: 1867: 1863: 1862: 1858: 1854: 1851: 1846: 1842: 1835: 1832: 1828: 1827: 1822: 1820: 1817: 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1190: 1187: 1183: 1182: 1177: 1175: 1172: 1161: 1158: 1153: 1149: 1148: 1144: 1141: 1136: 1131: 1130:Menger Sponge 1124: 1121: 1117: 1116: 1112: 1108: 1106: 1098: 1095: 1091: 1090: 1085: 1081: 1079: 1072: 1070: 1068: 1067: 1063: 1058: 1056: 1051:Siamese cubes 1049: 1046: 1042: 1041: 1037: 1033: 1028: 1024: 1022: 1013: 1006: 1001: 998: 996:Rubik's Tower 995: 992: 991: 990: 989: 985: 980: 977: 972: 968: 961: 958: 954: 953: 949: 946: 942: 938: 933: 929: 922: 919: 915: 914: 910: 906: 903: 898: 894: 887: 884: 880: 879: 875: 871: 868: 863: 859: 852: 849: 845: 844: 840: 837: 832: 828: 821: 818: 814: 813: 809: 805: 802: 797: 793: 786: 783: 779: 778: 774: 768: 767: 764: 762: 759: 755: 747: 745: 743: 739: 735: 727: 725: 723: 719: 715: 710: 706: 704: 700: 696: 688: 686: 684: 680: 676: 672: 668: 664: 660: 656: 652: 648: 639: 631: 620: 615: 613: 608: 606: 601: 600: 598: 597: 590: 589:Puzzle topics 587: 585: 582: 580: 577: 575: 572: 570: 567: 566: 558: 557: 549: 546: 544: 541: 539: 536: 534: 531: 529: 526: 524: 521: 519: 516: 514: 511: 509: 506: 504: 501: 500: 495: 489: 488: 479: 475: 470: 467: 466: 465: 464: 461: 457: 452: 449: 447: 444: 443: 442: 441: 438: 434: 430: 424: 420: 416: 414: 411: 409: 406: 404: 401: 400: 399: 398: 393: 390: 388: 385: 383: 380: 378: 376: 372: 370: 367: 365: 362: 360: 357: 355: 352: 351: 350: 349: 346: 342: 337: 334: 332: 329: 327: 324: 322: 319: 318: 317: 316: 313: 309: 304: 301: 299: 296: 295: 294: 293: 290: 286: 276: 275: 271: 267: 266: 263: 259: 255: 254: 245: 242: 227: 224: 216: 206: 202: 198: 192: 191: 186:This article 184: 175: 174: 165: 162: 154: 143: 140: 136: 133: 129: 126: 122: 119: 115: 112: –  111: 107: 106:Find sources: 100: 96: 90: 89: 84:This article 82: 78: 73: 72: 67: 65: 58: 57: 52: 51: 46: 41: 32: 31: 19: 3884: 3875: 3771:Speedsolving 3745:Collin Burns 3700:Frank Morris 3665:Rowe Hessler 3582:Missing Link 3433:Dodecahedron 3395:Pyraminx Duo 3303:Rubik's Cube 3251: 3197:Rubik's Cube 3124: 3115: 3106: 3098: 3093: 3074: 3063:. Retrieved 3059:the original 3054: 3012:. Retrieved 3008:the original 3001: 2970:. Retrieved 2966:the original 2959: 2950: 2936: 2920: 2896: 2885:. Retrieved 2881:the original 2876: 2867: 2856:. Retrieved 2852:the original 2847: 2838: 2827:. Retrieved 2823:the original 2813: 2802:. Retrieved 2798:the original 2793: 2784: 2773:. Retrieved 2769:the original 2765:"Tower Cube" 2759: 2748:. Retrieved 2744:the original 2739: 2730: 2719:. Retrieved 2715:the original 2705: 2552: 2531: 2500: 2430: 2403: 2394:magic square 2378: 2332: 2306: 2279: 2249: 2222: 2176: 2125: 2104:Dodecahedron 2099: 2084: 2058: 2031: 2004:Dodecahedron 1999: 1968: 1937: 1906: 1871: 1836: 1816:Dodecahedron 1811: 1785:Dodecahedron 1780: 1749: 1714: 1671: 1649: 1622: 1590: 1576: 1562: 1530: 1504: 1480: 1458: 1429:Rubik's Cube 1424: 1420: 1418: 1394: 1379:magic square 1355: 1325: 1299: 1273: 1245: 1236: 1217: 1193: 1162: 1125: 1099: 1073: 1050: 1007: 962: 923: 888: 853: 836:Rubik's Cube 822: 787: 751: 738:semi-regular 731: 711: 707: 702: 699:Rubik's Cube 692: 683:Rubik's Cube 678: 650: 646: 644: 503:Brain teaser 374: 359:Construction 353: 237: 219: 210: 187: 157: 148: 138: 131: 124: 117: 105: 93:Please help 88:verification 85: 61: 54: 48: 47:Please help 44: 3817:Mathematics 3799:CFOP method 3778:Speedcubing 3755:Mátyás Kuti 3710:Gilles Roux 3705:Lars Petrus 3635:Yu Nakajima 3587:Rubik's 360 3575:Derivatives 3561:MagicCube7D 3556:MagicCube5D 3551:MagicCube4D 3469:Impossiball 3461:Icosahedron 3400:Pyramorphix 3382:Tetrahedron 3334:Other cubic 3325:Sudoku Cube 3226:Tony Fisher 3221:Uwe Mèffert 2686:Puck puzzle 2664:Gear Shift 2625:Gear Mixup 2079:one as the 2038:or Cylinder 1942:Icosahedron 1911:Tetrahedron 1857:icosahedron 1850:Impossiball 1841:icosahedron 1763:Pyramorphix 1754:Tetrahedron 1735:Uwe Mèffert 1719:Tetrahedron 1627:Golden Cube 1618:Golden Cube 1471:FAO Schwarz 1421:Sudoku Cube 1415:Sudoku Cube 1062:Tony Fisher 801:Pocket Cube 758:rectilinear 722:MagicCube4D 695:combination 689:Description 478:Metapuzzles 354:Combination 213:August 2019 18:Sudoku Cube 3907:Categories 3660:Kevin Hays 3415:Octahedron 3405:BrainTwist 3211:Ernő Rubik 3065:2024-06-05 3014:2008-09-30 2972:2008-09-30 2887:2009-06-12 2858:2009-06-12 2829:2012-05-24 2804:2009-06-12 2775:2012-05-24 2750:2009-06-12 2721:2012-02-16 2697:References 2341:Snake cube 2258:Minus Cube 2075:but not a 1973:Octahedron 1920:BrainTwist 1455:Production 1375:algorithms 808:algorithms 761:polyhedron 724:software. 667:operations 538:Puzzlehunt 423:Logic maze 345:Mechanical 331:Logic grid 321:Dissection 197:improve it 121:newspapers 50:improve it 3829:Superflip 3764:Solutions 3735:Mats Valk 3695:Tyson Mao 3372:Non-cubic 3363:Gear Cube 3353:Dino Cube 3315:Bump Cube 3310:Void Cube 2596:Gear Cube 2581:Comments 2366:Comments 2210:Comments 2164:Comments 2087:uniform. 1890:12-sided 1702:Comments 1518:Comments 1477:Marketing 1231:Comments 1140:Void Cube 967:Tesseract 909:algorithm 874:algorithm 775:Comments 742:stellated 718:tesseract 543:Syllogism 446:Crossword 326:Induction 303:Situation 201:verifying 56:talk page 3750:Max Park 3680:Toby Mao 3670:Leyan Lo 3510:Tuttminx 3441:Megaminx 3390:Pyraminx 3358:Square 1 3252:Overview 2675:See also 2575:Picture 2553:Geranium 2360:Picture 2265:n-puzzle 2204:Picture 2158:Picture 2130:120-cell 1855:Rounded 1794:Megaminx 1728:Pyraminx 1696:Picture 1512:Picture 1425:Sudokube 1371:original 1225:Picture 1032:Japanese 945:V-Cube 8 941:V-Cube 7 937:V-Cube 6 769:Picture 377:problems 289:Guessing 151:May 2019 3918:Puzzles 3804:Optimal 3787:Methods 3530:(2x3x3) 2873:"2×2×6" 2790:"2×3×3" 2540:Klotski 2532:Klotski 2077:uniform 1437:Sebring 714:virtual 653:, is a 528:Paradox 508:Dilemma 421: ( 408:Sliding 382:Folding 262:Puzzles 195:Please 135:scholar 3520:Cuboid 3086:  2927:  2505:Square 2181:Sphere 1610:cubies 1495:Amazon 1433:Sudoku 1111:cubies 1084:cubies 1012:Cuboid 984:parity 943:, and 754:cuboid 655:puzzle 494:Topics 451:Sudoku 437:Number 392:Tiling 298:Riddle 137:  130:  123:  116:  108:  3474:Dogic 3348:Skewb 3134:(PDF) 2578:Data 2363:Data 2207:Data 2161:Data 1951:Dogic 1699:Data 1544:Skewb 1515:Data 1228:Data 1027:cubie 1002:2×2×6 999:3×4×4 772:Data 756:is a 728:Types 663:group 562:Lists 469:Mazes 413:Chess 387:Stick 312:Logic 280:Types 142:JSTOR 128:books 2925:ISBN 2081:edge 1676:Cube 1654:Cube 1631:Cube 1595:Cube 1567:Cube 1535:Cube 1485:and 1469:and 1441:Ohio 1419:The 1399:Cube 1360:Cube 1330:Cube 1304:Cube 1278:Cube 1250:Cube 1196:Cube 1171:Cube 928:Cube 893:Cube 858:Cube 827:Cube 792:Cube 740:and 548:Tale 513:Joke 435:and 433:Word 419:Maze 403:Tour 369:Lock 114:news 1423:or 673:of 665:of 659:set 199:by 97:by 3909:: 3114:. 3053:. 3023:^ 3000:. 2981:^ 2958:. 2910:^ 2875:. 2846:. 2792:. 2738:. 2085:is 1737:. 1439:, 1113:. 939:, 752:A 645:A 375:Go 59:. 3189:e 3182:t 3175:v 3136:. 3118:. 3068:. 3017:. 2975:. 2944:. 2931:) 2890:. 2861:. 2832:. 2807:. 2778:. 2753:. 2724:. 618:e 611:t 604:v 425:) 244:) 238:( 226:) 220:( 215:) 211:( 193:. 164:) 158:( 153:) 149:( 139:· 132:· 125:· 118:· 91:. 66:) 62:( 20:)

Index

Sudoku Cube
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verification
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"Combination puzzle"
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scholar
JSTOR
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