The Queen given dominion in hyperspace

An Oxford University mathematician will give Her Majesty The Queen an unusual Diamond Jubilee gift: her very own piece of mathematical infinite dimensional hyperspace. Professor Marcus du Sautoy of Oxford University's Mathematical Institute has named a new symmetrical object he has discovered 'The Diamond Jubilee Group' in Her Majesty's honour. However, The Queen won't be able to take a stroll around her new mathematical domain as this symmetrical object exists beyond our three-dimensional universe. Instead, she will receive a framed certificate from Professor du Sautoy describing in mathematical language the contours of her strange new dominion. The contours of this new shape encode three important numbers: 1952, the year of The Queen's accession to the throne, 2012, and 60 (the years she has reigned). The Queen's new symmetrical object is one of a seam of such shapes that du Sautoy has uncovered in hyperspace. He has decided to allow members of the public to name some of the other new shapes in a drive to involve the public in the fundamental research that is done in Oxford. In exchange for a donation to an educational charity that du Sautoy supports he will allow the donor to name one of these as yet unidentified symmetrical objects floating in hyperspace. Visit http://www.maths.ox.ac.uk/naming_symmetries to name your own symmetrical object.
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