Clean displacement on a plane with lowpoly holes

I have a plane with some lowpoly holes modeled in it. With the help of adaptive subdivision I want a clean displacement pattern on it. But no matter how I triangulate the model it will always show some edges. The triangulate modifier only makes it worse. Cutting quads inside the model is not an option here.

How can I achive a clean displacement on a lowpoly plane?

you don’t have enough faces for displacement to be clean. You should start with a grid and THEN cut your holes. Trying to subdivide at this point will not really add faces because you’ve already cut the holes. This tutorial shows why you should start with a grid:

Try playing with the dicing settings. Check out this tutorial:

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