quarta-feira, 21 de março de 2007

another stumble gem: 57-dimensional object / outra perola do stumble: objeto de 57 dimensões

'Is this the fabric of the universe?', by Roger Highfield
telegraph.co.uk 19/03/2007

Mathematicians have successfully scaled their equivalent of Mount Everest. Today they unveil the answer to a problem that, if written out in tiny print, would cover an area the size of Manhattan.

A two dimensional representation of E8, courtesy of Peter McMullen and John Stembridge

At the most basic level, the calculation is an arcane investigation of symmetry – in this case of an object that is 57 dimensional, rather than the usual three dimensional ones that we are familiar with. Although this object was first discovered in the 19th century. there is evidence that it could contain the structure of the cosmos. (cont...)

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