Abstract
It is shown that, given any (n-1)-dimensional lattice Λ, there is a vector v∈ℤn such that the orthogonal projection of ℤn onto v⊥ is, up to a similarity, arbitrarily close to Λ. The problem arises in attempting to find the largest cylinder anchored at two points of ℤn and containing no other points of ℤn. © 2010 Springer Science+Business Media, LLC.
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Sloane, N. J. A., Vaishampayan, V. A., & Costa, S. I. R. (2011). A Note on Projecting the Cubic Lattice. Discrete and Computational Geometry, 46(3), 472–478. https://doi.org/10.1007/s00454-010-9280-1
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