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A Thread For Random Links


Thrakazog

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Re: A Thread For Random Links

 

Things to hurt your brain with....

 

An Adventure in the Nth Dimension

 

If you put an N-dimensional sphere inside an N-dimensional cube exactly large enough to hold it, then the sphere occupies the largest "volume" of the cube for N = 5. As you go higher than that, the sphere holds less and less of the "volume". "In a space of 100 dimensions, the fraction of the cubic volume filled by the ball has declined to 1.8×10^–70."

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