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The cube restricted to only the corners, not looking at the edges; 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.
In 1982, David Singmaster and Alexander Frey hypothesised that the number of moves needed to solve the Cube, given an ideal algorithm, might be in "the low twenties". [62] In 2007, Daniel Kunkle and Gene Cooperman used computer search methods to demonstrate that any 3×3×3 Rubik's Cube configuration can be solved in 26 moves or fewer.
Nineteen people competed in the event, and the American Minh Thai won with a single solve time of 22.95 seconds, which was, at the time, the fastest Rubik's Cube solve ever recorded. Other attendees include Jessica Fridrich and Lars Petrus , both of whom later contributed to the development of new solving methods and the speedcubing community ...
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A new speed record has been set for solving the notoriously difficult Rubik's Cube.
A six-year-old girl from China has set a new women’s world record for solving the 3x3x3 Rubik’s Cube in 5.97 seconds. Cao Qixian, of China’s Jiangsu Province, achieved the feat at the Rubik ...
There also exist many advanced extension algorithm sets to be used alongside CFOP, such as COLL, [10] Winter Variation, [11] VLS, ZBLL, and more. However, it is not necessary to learn them in order to solve the cube or to use the CFOP method. These sets usually have a large numbers of algorithms; ZBLL has a total of 472 of them.
However, draughts with only 5 × 10 20 positions [21] and even fewer, 3.9 × 10 13, in the database, [22] is a much easier problem to solve –of the same order as Rubik's cube. The magnitude of the set of positions of a puzzle does not entirely determine whether a God's algorithm is possible.