In a computer generated illustration supplied by the American Institute of Mathematics, the E8 root system related to the Lie group E8, which is 248 dimensions, is seen. A math problem so complicated that its solution would cover the island of Manhattan if written out was cracked by researchers after going unsolved for more than a century. The 18-member team of mathematicians and computer scientists convened by the American Institute of Mathematics in Palo Alto, Calif., took four years to map a 248-dimensional object known as the "Lie group E8." (AP Graphic/John Stembridge, University of Michigan)
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