Wednesday, March 26, 2008

Two Weeks is Too Long


Too weeks is too long for a new post. More this weekend, but in the meantime proof that a different perspective can increase your effectiveness or efficiency by...a single move.

Taken from Slashdot.org:

"A scrambled Rubik's cube can be solved in just 25 moves, regardless of the starting configuration. Tomas Rosicki, a Stanford-trained mathematician, has proven the new limit (down from 26 which was proved last year) using a neat piece of computer science. Rather than study individual moves, he's used the symmetry of the cube to study its transformations in sets. This allows him to separate the "cube space" into 2 billion sets each containing 20 billion elements. He then shows that a large number of these sets are essentially equivalent to other sets and so can be ignored. Even then, to crunch through the remaining sets, he needed a workstation with 8GB of memory and around 1500 hours of time on a Q6600 CPU running at 1.6GHz. Next up, 24 moves."

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