smooth Poincare conjecture
http://plus.maths.org/content/category/tags/smooth-poincare-conjecture
enExotic spheres, or why 4-dimensional space is a crazy place
http://plus.maths.org/content/richard-elwes
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Richard Elwes </div>
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<p>The world we live in is strictly 3-dimensional: up/down, left/right, and forwards/backwards, these are the only ways to move. For years, scientists and science fiction writers have contemplated the possibilities of higher dimensional spaces. What would a 4- or 5-dimensional universe look like? Or might it even be true that we already inhabit such a space, that our 3-dimensional home is no more than a slice through a higher dimensional realm, just as a slice through a 3-dimensional cube produces a 2-dimensional square?</p> </div>
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<p>The world we live in is strictly 3-dimensional: up/down, left/right, and forwards/backwards, these are the only ways to move. For years, scientists and science fiction writers have contemplated the possibilities of higher dimensional spaces. What would a 4- or 5-dimensional universe look like? Or might it even be true, as some have suggested, that we already inhabit such a space, that our 3-dimensional home is no more than a slice through a higher dimensional realm, just as a slice through a 3-dimensional cube produces a 2-dimensional square?</p><p><a href="http://plus.maths.org/content/richard-elwes" target="_blank">read more</a></p>http://plus.maths.org/content/richard-elwes#commentsmathematical realitydifferential topologyfractalgeometryPoincare Conjecturesmooth Poincare conjecturetopologyWed, 12 Jan 2011 11:03:17 +0000mf3445399 at http://plus.maths.org/content