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arXiv · 1004.3072

A Note on Projecting the Cubic Lattice

N. J. A. Sloane·Vinay A. Vaishampayan·Sueli I. R. Costa
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Abstract

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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N. J. A. Sloane, Vinay A. Vaishampayan, Sueli I. R. Costa. 2010-07-16. A Note on Projecting the Cubic Lattice. https://arxiv.org/abs/1004.3072

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