A Note on Projecting the Cubic Lattice

Details A Note on Projecting the Cubic Lattice A Note on Projecting the Cubic Lattice

2010-04-18

arxiv.org/abs/1004.3072v4

Mathematics

Number Theory

6 pages, 0 figures. Revised Apr 24 2010 because there was an error in the proof of Prop. 3. Revised May 25 2010 because the ro

Scientific paper

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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