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  2. Trail Making Test - Wikipedia

    en.wikipedia.org/wiki/Trail_Making_Test

    The task requires the subject to connect 25 consecutive targets on a sheet of paper or a computer screen, in a manner to like that employed in connect-the-dots exercises. There are two parts to the test. In the first, the targets are all the whole numbers from 1 to 25, and the subject must connect them in numerical order.

  3. Rubik's Cube group - Wikipedia

    en.wikipedia.org/wiki/Rubik's_Cube_group

    The Rubik's Cube is constructed by labeling each of the 48 non-center facets with the integers 1 to 48. Each configuration of the cube can be represented as a permutation of the labels 1 to 48, depending on the position of each facet. Using this representation, the solved cube is the identity permutation which leaves the cube unchanged, while ...

  4. n-dimensional sequential move puzzle - Wikipedia

    en.wikipedia.org/wiki/N-dimensional_sequential...

    The position of this cell is the extreme foreground of the 4th dimension beyond the position of the viewer's screen. 4-cube 3 4 virtual puzzle, rotated in the 4th dimension to show the colour of the hidden cell. 4-cube 3 4 virtual puzzle, rotated in normal 3D space. 4-cube 3 4 virtual puzzle, scrambled. 4-cube 2 4 virtual puzzle, one cubie is ...

  5. Optimal solutions for the Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/Optimal_solutions_for_the...

    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, lower bound being 18 and upper bound ...

  6. Rubik's family cubes of varying sizes - Wikipedia

    en.wikipedia.org/wiki/Rubik's_family_cubes_of...

    The number of different states that are reachable for cubes of any size can be simply related to the numbers that are applicable to the size 3 and size 4 cubes. Hofstadter in his 1981 paper [ 22 ] provided a full derivation of the number of states for the standard size 3 Rubik's cube.

  7. Two-cube calendar - Wikipedia

    en.wikipedia.org/wiki/Two-cube_calendar

    The last three digits of each cube could be shuffled between the cubes such that each digit from 3 to 9 is placed on at least two different cubes. With assumption that 6 and 9 are distinguishable characters, it is impossible to represent all days of the year because the necessary number of faces would be 25 and four cubes have only 24 faces.