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In the unsolved condition colours are distributed amongst the pieces of the cube. Each of the six faces is a different colour, but each of the nine pieces on a face is identical in colour, in the solved condition. The most famous of these puzzles is the original Rubik's Cube, a cubic puzzle in which each of the six faces can be independently rotated. Often, the solution is required to be some recognisable pattern such as "all like colours together" or "all numbers in order". 1k 33.A combination puzzle is solved by achieving a particular combination starting from a random (scrambled) combination. Business solution in partnership concept four businessmen pushing stack pieces of puzzle flat isometric.
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.Although a mechanical realization of the puzzle is usual, it is not actually necessary. Similarly, not all the combinations that are mechanically possible from a disassembled cube are possible by manipulation of the puzzle. For instance, in the case of the Rubik's Cube, there are a large number of combinations that can be achieved by randomly placing the coloured stickers on the cube, but not all of these can be achieved by manipulating the cube rotations. This leads to some limitations on what combinations are possible. They are often face-turning, but commonly exist in corner-turning and edge-turning varieties.The mechanical construction of the puzzle will usually define the rules by which the combination of pieces can be altered.
That is, all its edges form right angles. As well as cubes, all of the regular polyhedra and many of the semi-regular and stellated polyhedra have been made.A cuboid is a rectilinear polyhedron. An example is the 4-dimensional 3×3×3×3 tesseract puzzle, simulated by the MagicCube4D software.There have been many different shapes of Rubik type puzzles constructed. In fact, there are some puzzles that can only be realized in virtual space. The puzzle can be realized entirely in virtual space or as a set of mathematical statements.

Those with two or three different numbers of even or odd rows also have the ability to change their shape. The four shown here are only a sample from a very large number of examples. Additional cubie pieces are then added, either modified from standard puzzles or made from scratch. Most of them start with the internal mechanism of a standard puzzle.
The first Siamese cube was made by Tony Fisher in 1981. There is also a "2 3x3x3 fused 2x2x2" version called the fused cube. 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. The picture here shows two 3×3×3 cubes that have been fused. It does not change form, and the top and bottom colours do not mix with the colours on the sides.Piece configuration: two 3×3×3 fused 1×1×3Siamese cubes are two or more puzzles that are fused so that some pieces are common to both cubes.


Ideal produced a commercial version during the initial cube craze. Much easier to solve since five of the six faces are ignored. Also known as the Dodo cube.Mechanically identical to the standard 3×3×3 cube, but with specially printed stickers for displaying the date. There are also cubes which have only three colours, either one colour per pair of opposite faces or one colour per layer. However, much easier to solve as it only uses two colours.Mechanically identical to the standard 3×3×3 cube but not a real puzzle since all the faces are the same colour. The ones listed in the table below are included because the pattern in some way affects the difficulty of the solution or is notable in some other way.Mechanically identical to the Pocket Cube.
The number of combinations of centre face orientations is 4 6. 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. This is coloured the same as the standard cube, but there is an embossed symbol on each square which corresponds to a colour.Mechanically identical to the standard 3×3×3 cube. The cube pictured is the original "Blind Man's Cube" made by Politechnika. However the pieces are in some way tactile to allow operation by blind persons, or to solve blindfolded.
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. Note that the puzzle can be treated as a number magic square puzzle on each of the six faces with the magic constant being 15 in this case.Mechanically identical to the standard 3×3×3 cube. This adds to the difficulty of the puzzle but not astronomically only one or two additional algorithms are required to effect a solution. The increase is therefore x2 11 over the original making the total approximately 10 24 combinations.
The name reflects its superficial resemblance to the two-dimensional Sudoku number puzzle.
