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

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

    For even size cubes () is always odd which means in this case a parity reversal always occurs, an allowable parity condition for even size cubes. For the complete edge set flip (a requirement that can arise only for cubes of even size), the number of swaps will be ( n − 1 ) ( n 2 − 1 ) {\displaystyle \left(n-1\right)\left({\frac {n}{2}}-1 ...

  3. Cube (algebra) - Wikipedia

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

    The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 2 3 = 8 or (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 maps a number to its cube. It is an odd function, as (−n) 3 ...

  4. 1,000,000 - Wikipedia

    en.wikipedia.org/wiki/1,000,000

    One million cubic inches would be the volume of a small room 8 + 1 ⁄ 3 feet long by 8 + 1 ⁄ 3 feet wide by 8 + 1 ⁄ 3 feet high. Mass: A million cubic millimetres (small droplets) of water would have a volume of one litre and a mass of one kilogram. A million millilitres or cubic centimetres (one cubic metre) of water has a mass of a ...

  5. List of mathematical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_constants

    Cube root of 3 1.44224 95703 07408 ... where the signs + or − are chosen at random with equal probability 1/2 ... Foias constant is the unique real number such that ...

  6. 1,000,000,000 - Wikipedia

    en.wikipedia.org/wiki/1,000,000,000

    This is an accepted version of this page This is the latest accepted revision, reviewed on 24 December 2024. See also: Orders of magnitude (numbers) and Long and short scales Natural number 1000000000 List of numbers Integers ← 10 0 10 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 Cardinal One billion (short scale) One thousand million, or one milliard (long scale) Ordinal One billionth (short ...

  7. Cube - Wikipedia

    en.wikipedia.org/wiki/Cube

    A cube is a special case of rectangular cuboid in which the edges are equal in length. [1] Like other cuboids, every face of a cube has four vertices, each of which connects with three congruent lines. These edges form square faces, making the dihedral angle of a cube between every two adjacent squares being the interior angle of a square, 90 ...

  8. Puzzle solutions for Wednesday, Dec. 4, 2024

    www.aol.com/news/puzzle-solutions-wednesday-dec...

    Note: Most subscribers have some, but not all, of the puzzles that correspond to the following set of solutions for their local newspaper. CROSSWORDS

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

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

    [1] 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.