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

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

    The cube restricted to only 6 edges, not looking at the corners nor at the other edges. The cube restricted to the other 6 edges. Clearly the number of moves required to solve any of these subproblems is a lower bound for the number of moves needed to solve the entire cube. Given a random cube C, it is solved as iterative deepening. First all ...

  3. Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/Rubik's_Cube

    The Rubik's Cube is a 3D combination puzzle invented in 1974 [2][3] by Hungarian sculptor and professor of architecture Ernő Rubik. Originally called the Magic Cube, [4] the puzzle was licensed by Rubik to be sold by Pentangle Puzzles in the UK in 1978, [5] and then by Ideal Toy Corp in 1980 [6] via businessman Tibor Laczi and Seven Towns ...

  4. n-dimensional sequential move puzzle - Wikipedia

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

    Contents. n -dimensional sequential move puzzle. Five-dimensional 2 5 puzzle partial cutaway demonstrating that even with the minimum size in 5-D the puzzle is far from trivial. The 4-D nature of the stickers is clearly visible in this screen shot. The Rubik's Cube is the original and best known of the three-dimensional sequential move puzzles.

  5. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  6. Square-1 (puzzle) - Wikipedia

    en.wikipedia.org/wiki/Square-1_(puzzle)

    The Square-1 puzzle was sold in this shape with instructions for turning it back to a cube. This is halfway through a vertical turn. The Square-1 is a variant of the Rubik's Cube. Its distinguishing feature among the numerous Rubik's Cube variants is that it can change shape as it is twisted, due to the way it is cut, thus adding an extra level ...

  7. How to Solve It - Wikipedia

    en.wikipedia.org/wiki/How_to_Solve_It

    Solve an equation [14] Also suggested: Look for a pattern [15] Draw a picture [16] Solve a simpler problem [17] Use a model [18] Work backward [19] Use a formula [20] Be creative [21] Applying these rules to devise a plan takes your own skill and judgement. [22] Pólya lays a big emphasis on the teachers' behavior.

  8. Doubling the cube - Wikipedia

    en.wikipedia.org/wiki/Doubling_the_cube

    Doubling the cube, also known as the Delian problem, is an ancient [a][1]: 9 geometric problem. Given the edge of a cube, the problem requires the construction of the edge of a second cube whose volume is double that of the first. As with the related problems of squaring the circle and trisecting the angle, doubling the cube is now known to be ...

  9. Nightcore - Wikipedia

    en.wikipedia.org/wiki/Nightcore

    Anime music video. A nightcore (also known as sped-up song, sped-up version, sped-up remix, or, simply, sped-up[1][2][3][4][5][6][7]) edit is a version of a music track that increases the pitch and speeds up its source material by approximately 35%. This gives an effect almost identical to playing a 33⅓-RPM vinyl record at 45 RPM.