How to generate a 3-d simple cubic lattice of length 4 in each dimension? – Mathematica Stack Exchange

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?
http://mathematica.stackexchange.com/questions/19165/how-to-generate-a-3-d-simple-cubic-lattice-of-length-4-in-each-dimension

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