Thursday, August 30, 2007

Ever lost?

If you are ever lost then just start a random walk, and you will eventually get to where you want to go. This is true in 2-dimensions (ref: Wikipedia, Mathworld) but only 34% chance in 3-dimensions (ref: Wikipedia, Mathworld).
Although our world is has 3 dimensions, we cannot fly so we can transform the 3-dimensional space we live in into a 2-dimensional structure which contain all the places which we can walk on.

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1 Comments:

At 2/9/07 15:45, Anonymous mirka said...

hmm, just that the expected time till you reach your goal might be looong. Consequently, the fact that in 2D one can reach any place with 100% probability by a random walk doesn't change too much about being often pretty fucked up once you get lost.

 

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