z = (cos πx + cos πy) represents the classical "spot function", made by square cells, used in every laser printer's halftone screening. Does anyone knows the corresponding function to produce TRIANGULAR cells instead of squared ones?
2026-04-04 13:01:40.1775307700
A triangular "spot function"
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That is, you want a function such that the contour $z=0$ is a triangle (or triangular lattice)? I suggest $$ z(x,y)=\sin\left(\tfrac{2 y}{\sqrt 3}\right)\cdot \sin\left(x+\tfrac y{\sqrt 3}\right)\cdot \sin\left(x-\tfrac y{\sqrt 3}\right)$$