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Find Nearest Neighbors in Any Space
Mathematica 6 has powerful and efficient nearest-neighbor algorithms, suitable for any dimension and any distance function.
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Click for copyable input
Graphics[Module[{r = RandomReal[1, {1000, 2}], nf}, 

  nf = Nearest[r -> Automatic]; 

  GraphicsComplex[r, 

   Table[{Line[Thread[{n, nf[r[[n]], 5]}]], Red, Point[n]}, {n, 

     1000}]]]]
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