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I'm trying to figure out a way to computationally construct a lattice such that each lattice point is the center of the faces of a truncated octahedron which is tesselated through out space. The main problem is that I need to be able to store values (e.g. pressure, temperature, gas concentration etc.) at each of these lattice points as well as being able to locate nearest neighbours and their respective values. I've looked around and I'm having difficulties find a good description of how to construct a lattice like this.

If anyone knows of where I can find any info it would be appreciated. Thanks.