Forgot your password?
typodupeerror
Math

+ - Rubik's cube proof cut to 25 moves->

Submitted by
KentuckyFC
KentuckyFC writes "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 (abstract on the physics arxiv). 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."
Link to Original Source
This discussion was created for logged-in users only, but now has been archived. No new comments can be posted.

Rubik's cube proof cut to 25 moves

Comments Filter:

You know that feeling when you're leaning back on a stool and it starts to tip over? Well, that's how I feel all the time. -- Steven Wright

Working...