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In this question I have prepared this Geometry Nodes setup to represent the following function

$$f(x,y) = \frac{1}{2}\,\left( y - x + 1 - \sqrt{\left(y-x+1\right)^2 -4y}\,\right) $$

where $$0<=x<=1$$ $$0<=y<=1$$

But the Delete Geometry node will result in jagged edges. Is there another way to use Geometry Nodes to have smoother edges, perhaps without this Delete Geometry node or maybe by merging vertices?

enter image description here

Harry McKenzie
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    As always, I could be wrong, but when I mapped this function at high resolution and magnified over a small domain, the jagged edges appeared to be an accurate representation of it, not a sampling error? If that's the case, (and you're not wanting to represent this function) why not choose another function? – Robin Betts Aug 14 '22 at 15:04
  • Hi Robin, nice that you mentioned it! It made me realize you are actually right and there is no problem! This is the boundary of imaginary and real numbers – Harry McKenzie Aug 14 '22 at 15:08
  • you can post it as answer and I will accept it! – Harry McKenzie Aug 14 '22 at 15:09
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    Phew! That's good. I won't post.. it's a bit niche to be useful to the archive, I think. Thanks anyway. :) – Robin Betts Aug 14 '22 at 15:11
  • cool no prob. glad to know the answer. it was getting weird that even at a 2000 x 2000 resolution it was jagged but is accurate after all :) – Harry McKenzie Aug 14 '22 at 15:13
  • why are you deleting the geometry in the first place? doesn't the set position give it its shape? – shmuel May 29 '23 at 05:47

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