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Answer by Kai for Find the 3D region containing the origin bounded by given...
The other answers are great and very enlightening, I had already found a brute force solution but I took elements of both @Henrik Schumacher and @Roman's answers to produce this nice minimal one for...
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Answer by Henrik Schumacher for Find the 3D region containing the origin...
It is really unfortunate that we don't have a 3D implementation of VoronoiMesh.Borrowing quite a lot from Roman, the following tries to compute the extremal points of the Wigner-Seitz cells and applies...
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Answer by Roman for Find the 3D region containing the origin bounded by given...
Unfortunately, VoronoiMesh does not work in 3D. So we do it manually.the crystal lattice vectors:a1 = {-1, 1, 1}/2;a2 = {1, -1, 1}/2;a3 = {1, 1, -1}/2;the reciprocal lattice vectors: (Inverse is easier...
View ArticleFind the 3D region containing the origin bounded by given planes
I'm writing a code to generate the Wigner-Seitz cell of the reciprocal lattice for a given set of lattice translation vectors. For example, consider the Body Centered Cubic (BCC) lattice whose basis...
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