Take the 2-minute tour ×  if you got a integer point in the
n-dimensional space how many neighbor integer points does it
have?  1D you have 2  2D you have 8  3D you have 26  i came to
the formula $$n_i = 2*(n_{i-1}+1)+n_{i-1} = 3 * n_{i-1} + 2$$
What is the closed form for n-dimension?  share|improve this
question  1 Answer 1   I.e., the $3\times 3 \times 3 \times ...$
cube minus the point in the middle.  share|improve this answer
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