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I want to have the resulting faces (the orange part) of two faces. How can this be done? In the end I want to script this but I want to know if there is an operator that could help with this.

enter image description here

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use Boolean modifier on 1 of the planes and select other plane in the modifier tab then choose the Boolean option you need and apply if you want only the mesh being left BUT probably you got to make These planes to cubes and 1 of them must be smaller from hight and after applying the modifier you need just to delete vertices to make it plane againenter image description here

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