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A cube is solvable if the set state has existed some time in the past and if no tampering of the cube has occurred (e.g. by rearrangement of stickers on hardware cubes or by doing the equivalent on software cubes). Rules for the standard size 3 Rubik's cube [3] [4] and for the complete Rubik's cube family [5] have been documented. Those rules ...
For instance, the corner cubies of a Rubik's cube are a single piece but each has three stickers. The stickers in higher-dimensional puzzles will have a dimensionality greater than two. For instance, in the 4-cube, the stickers are three-dimensional solids. For comparison purposes, the data relating to the standard 3 3 Rubik's cube is as follows;
The Mirror Blocks, also known as the Mirror Cube and Bump Cube, is a type of combination puzzle and shape modification of the standard 3×3×3 Rubik's Cube and was invented in 2006. The puzzle's internal mechanism is nearly identical to that of the Rubik's Cube, although it differs from normal 3×3 cubes in that all pieces are the same color ...
Beyond the Folk Art of the 1980s and 1990s, and the simple replication of a Rubik's Cube in oversized form, artists have developed a pointillist art style using the cubes. Rubik's Cube Art a.k.a. Rubik's Cubism or RubikCubism makes use of a standard Rubik's Cube, a popular puzzle toy of the 1980s. [129]
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. In the unsolved condition, colours are distributed amongst the pieces of the cube. Puzzles like the Rubik's Cube which are manipulated by rotating a section of pieces are popularly called twisty puzzles. They are ...
The Square-1 puzzle was sold in this shape with instructions for turning it back to a cube. This is halfway through a vertical turn. The Square-1 is a variant of the Rubik's Cube. Its distinguishing feature among the numerous Rubik's Cube variants is that it can change shape as it is twisted, due to the way it is cut, thus adding an extra level ...
The manipulations of the Rubik's Cube form the Rubik's Cube group. The Rubik's Cube group (,) represents the structure of the Rubik's Cube mechanical puzzle. Each element of the set corresponds to a cube move, which is the effect of any sequence of rotations of the cube's faces. With this representation, not only can any cube move be ...
God's algorithm is a notion originating in discussions of ways to solve the Rubik's Cube puzzle, [1] but which can also be applied to other combinatorial puzzles and mathematical games. [2] It refers to any algorithm which produces a solution having the fewest possible moves (i.e., the solver should not require any more than this number).