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3D grid like the one in the picture

I am interested on drawing with Sage something like the following picture

image description

The code that appears in the picture uses Wolfram Language (and I got the picture from this link)

Moreover, what I am interested is to have some function that creates such a picture from a list of points (where by a point I refer to an element of $\mathbb{Z}^3$). Does anybody know how to do this with Sage?