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  2. Professor's Cube - Wikipedia

    en.wikipedia.org/wiki/Professor's_Cube

    As a result, once reduction is complete the parity errors sometimes seen on the 4×4×4 cannot occur on the 5×5×5, or any cube with an odd number of layers. [9] The Yau5 method is named after its proposer, Robert Yau. The method starts by solving the opposite centers (preferably white and yellow), then solving three cross edges (preferably ...

  3. 15 puzzle - Wikipedia

    en.wikipedia.org/wiki/15_puzzle

    The invariant is the parity of the permutation of all 16 squares plus the parity of the taxicab distance (number of rows plus number of columns) of the empty square from the lower right corner. This is an invariant because each move changes both the parity of the permutation and the parity of the taxicab distance.

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

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

    The big advantage of numbers is that they reduce the complexity of solving the last cube face when markings are in use (e.g. if the set-of-four sequence is 1-3-4-2 (even parity, needs two swaps to become the required 1-2-3-4) then the algorithm requirement is clear.

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

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

    An animated example solve has been made for each of them. The scrambling move sequence used in all example solves is: U2 B2 R' F2 R' U2 L2 B2 R' B2 R2 U2 B2 U' L R2 U L F D2 R' F'. Use the buttons at the top right to navigate through the solves, then use the button bar at the bottom to play the solving sequence. Example solves.

  6. Combination puzzle - Wikipedia

    en.wikipedia.org/wiki/Combination_puzzle

    A combination puzzle collection A disassembled modern Rubik's 3x3. A combination puzzle, also known as a sequential move puzzle, is a puzzle which consists of a set of pieces which can be manipulated into different combinations by a group of operations.

  7. College Football Playoff: Bettors like Ohio State in the ...

    www.aol.com/sports/college-football-playoff...

    Even more bettors are backing Ohio State compared to Notre Dame. The Buckeyes have been the most impressive team through the first two rounds of the CFP and have outscored Tennessee and Oregon by ...

  8. Megaminx - Wikipedia

    en.wikipedia.org/wiki/Megaminx

    Regardless of color variant, the most common solution strategy shares qualities with common methods for solving a Rubik's Cube. The solution begins with one face (most often white), where the solver will reconstruct the "star" formed by the edge pieces adjacent to that face, each one properly paired with the neighboring center color (analogous to the "white cross" of the beginner and CFOP ...

  9. Here are 5 things that will get likely more expensive in 2025 ...

    www.aol.com/finance/5-things-likely-more...

    President-elect Donald Trump is set to take office on Jan. 20. Once he takes the reins, a number of economic changes could ensue. Trump has proposed slapping tariffs on goods the U.S. imports from ...