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  2. Two-cube calendar - Wikipedia

    en.wikipedia.org/wiki/Two-cube_calendar

    Digits 1 and 2 need to be placed on both cubes to allow numbers 11 and 22. That leaves us with 4 sides of each cube (total of 8) for another 8 digits. However, digit 0 needs to be combined with all other digits, so it also needs to be placed on both cubes. That means we need to place remaining 7 digits (from 3 to 9) on the remaining 6 sides of ...

  3. Cube (algebra) - Wikipedia

    en.wikipedia.org/wiki/Cube_(algebra)

    The cube of a number n is denoted n 3, using a superscript 3, [a] for example 2 3 = 8. The cube operation can also be defined for any other mathematical expression, for example (x + 1) 3. The cube is also the number multiplied by its square: n 3 = n × n 2 = n × n × n. The cube function is the function x ↦ x 3 (often denoted y = x 3) that

  4. 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.

  5. Fourth power - Wikipedia

    en.wikipedia.org/wiki/Fourth_power

    [1] Every positive integer can be expressed as the sum of at most 19 fourth powers; every integer larger than 13792 can be expressed as the sum of at most 16 fourth powers (see Waring's problem ). Fermat knew that a fourth power cannot be the sum of two other fourth powers (the n = 4 case of Fermat's Last Theorem ; see Fermat's right triangle ...

  6. 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 ...

  7. Triangular number - Wikipedia

    en.wikipedia.org/wiki/Triangular_number

    The final digit of a triangular number is 0, 1, 3, 5, 6, or 8, and thus such numbers never end in 2, 4, 7, or 9. A final 3 must be preceded by a 0 or 5; a final 8 must be preceded by a 2 or 7. In base 10, the digital root of a nonzero triangular number is always 1, 3, 6, or 9. Hence, every triangular number is either divisible by three or has a ...