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A corner is a triple of points in $\Bbb{Z}^2$ of the form$(x,y),(x+d,y),(x,y+d)$ where $d\neq 0$. One can think of them as being2D-analogues to 3-term arithmetic progressions.  In this short note, we extend ideas of Green-Wolf from this latter setting tothe former, achieving slightly better constructions of corner-free sets.

Corner-free sets via the torus