A Note on Projecting the Cubic Lattice

It is shown that, given any (n-1)-dimensional lattice I >, there is a vector vaa'currency sign (n) such that the orthogonal projection of a'currency sign (n) onto v (aSyen) is, up to a similarity, arbitrarily close to I >. The problem arises in attempting to find the largest cylinder anchored at two points of a'currency sign (n) and containing no other points of a'currency sign (n) .46347247