Fohlen - 10 months ago 73

Python Question

When given a matrix of n-dimension and a grid size of 1 I'd like to calculate the nearest neighbours of a field.

Given below is an example for a 2-dimensional field

`P = (1,1)`

p_neighbours = [(0,0),(2,2),(0,1),(0,2),(1,0),(2,0),(2,1),(1,2)]

Mathematically this can be as easily described as P +/- 1 in a vectorian system (as far as I understand). The size of the n-dimensional neighbour array is described as (n^3)-1

I've already found a pretty good old topic, anyhow I couldn't understand how any of the presented solutions could be extended to a n-dimensional function..

Answer Source

```
from itertools import product
def stencil(dim):
stencils = list(product([-1,0,1], repeat=dim))
zero = ((0,) * dim)
stencils.remove(zero)
return stencils
def neighbours(P):
stencils = stencil(len(P))
return [tuple([sum(x) for x in zip(P,s)]) for s in stencils]
P = (4, 4, 4)
print(neighbours(P))
```