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Space-time, according to Einstein's theories of relativity, is a four-dimensional fabric woven together by space and time.
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On the next rung up the ladder of difficult mathematics comes doing the same thing in four-dimensional space.
ECONOMIST: Proof of the truth of the Poincar�� conjecture
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The constants that physicists measure in their laboratories are only four-dimensional shadows of more fundamental entities that exist in 11 dimensions.
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Now imagine this happening in the four-dimensional fabric of space and time.
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Fastcase, with seven full-time programmers, is working on new ways to display data, including a four-dimensional chart that sorts cases by relevance and time (see chart below).
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His conjecture, made in 1904, was that in this four-dimensional world, all closed three-dimensional surfaces that are simply connected could be transformed to look like a three-dimensional sphere.
ECONOMIST: Proof of the truth of the Poincar�� conjecture
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Einstein's theory of relativity unified these and created a four-dimensional space that is an analogue to our three-dimensional space, except that the "distance" between two points need not be positive.
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