Tuesday, March 20, 2007

More Dimensions Than You Can Shake a Stick At..

Math Geeks Unite and Celebrate!

Full Article

After four years of intensive collaboration, 18 top mathematicians and computer scientists from the United States and Europe have successfully mapped E8, one of the largest and most complicated structures in mathematics, scientists said late Sunday.

Jeffrey Adams, project leader and mathematics professor at the University of Maryland said E8 was discovered over a century ago, in 1887, and until now, no one thought the structure could ever be understood.

"This groundbreaking achievement is significant both as an advance in basic knowledge, as well as a major advance in the use of large scale computing to solve complicated mathematical problems," Adams said.

He added that the mapping of E8 may well have unforeseen implications in mathematics and physics which won't be evident for years to come.

E8 belongs to so-called Lie groups that were invented by a 19th century Norwegian mathematician, Sophus Lie, to study symmetry.

The theory holds that underlying any symmetrical object, such as a sphere, is a Lie group.

Balls, cylinders or cones are familiar examples of symmetric three-dimensional objects.

However, mathematicians study symmetries in higher dimensions. In fact, E8 itself is 248-dimensional.

No comments: