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Puzzles have been built resembling Rubik's Cube, or based on its inner workings. For example, a cuboid is a puzzle based on Rubik's Cube, but with different functional dimensions, such as 2×2×4, 2×3×4, and 3×3×5. [116] Other Rubik's Cube modifications include "shape mods", cubes that have been extended or truncated to form a new shape.
Takuzu, also known as Binairo, is a logic puzzle involving placement of two symbols, often 1s and 0s, on a rectangular grid. The objective is to fill the grid with 1s and 0s, where there is an equal number of 1s and 0s in each row and column and no more than two of either number adjacent to each other.
Instant Insanity puzzle in the "solved" configuration. From top to bottom, the colors on the back of the cubes are white, green, blue, and red (left side), and blue, red, green, and white (right side) Nets of the Instant Insanity cubes – the line style is for identifying the cubes in the solution
The puzzle is unique in the WCA in that it is the only puzzle for which viable speedsolving methods have been devised that always solve it in God's number moves (14 for the clock) or less; an example is "7-Simul", which involves performing seven pairs of moves on the front and back of the clock simultaneously and requires mental calculation ...
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Most puzzle solvers try to solve such puzzles by mechanical manipulation, but some branches of mathematics can be used to create a model of disentanglement puzzles. Applying a configuration space with a topological framework is an analytical method to gain insight into the properties and solution of some disentanglement puzzles.
The maximal number of face turns needed to solve any instance of the Rubik's Cube is 20, [2] and the maximal number of quarter turns is 26. [3] These numbers are also the diameters of the corresponding Cayley graphs of the Rubik's Cube group. In STM (slice turn metric), the minimal number of turns is unknown.
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