A Note on Projecting the Cubic Lattice
classification
🧮 math.NT
keywords
latticepointsanchoredarbitrarilyarisesattemptingclosecontaining
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It is shown that, given any (n-1)-dimensional lattice L, there is a vector v in Z^n such that the projection of Z^n onto v^perp is arbitrarily close to L. The problem arises in attempting to find the largest cylinder anchored at two points of Z^n and containing no other points of Z^n.
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