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I am looking to make certain computations on the vertices of periodic cubic honeycombs and quasiregular honeycombs like tetrahedral-octahedral honeycomb. Cubic are simple enough and amount to generate vectors with all vector components being integer multiples of corresponding cubic dimension, but in the case of the tetrahedral-octahedral honeycomb is not clear how to generate a program that evaluates these vertices positions

Is there a library or example I can use of how neighbouring unit lattices should map vertices that can be used to determine the algorithm to compute these vertices for a specified size of crystal?

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