Posted by Steve Simon on February 15, 2015, 7:56 pm, in reply to "Lattice Vectors of the Reciprocal Lattice"
If a_i are the primitive lattive vectors of the direct lattice, then a_i dot b_j = 2 pi delta_{ij} defines b_j which are the primitive lattice vectors of the reciprocal lattice. Yes, this is true for any type of lattice  even if it is not cubic. 
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