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plotting - How to generate a 3-d simple cubic lattice of length 4 in each dimension? 



LatticeData["SimpleCubic", "Image"]

The above line gives me a single cube (2 lattice points in each direction).


But I want a lattice with 4 lattice points in each direction. How do I generate that?



Answer



It is easy to generate coordinates for these using Tuples:


coords = Tuples[Range[4], 3]

Graphics3D@Point[coords]


Mathematica graphics


If you need the grid lines too, you can generate a 2D lattice for each face in a similar way and extrude them into lines.


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