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In blender, if I create two intersecting objects A and B, I know how to obtain their intersections (A ⋂ B) or unions (A U B), or diff (A-B or B-A) using boolean modifiers.

However, I am wondering if there is a way for me to obtain A sliced by B (i.e. (A-B) U (A ⋂ B)), or likewise, B sliced by A, as a single output object? the result should contain both interior and exterior surfaces and should include multiple surface compartments.

thanks

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this geo nodes setup should work in your case. All I did was to make both boolean operations and join the results. Hope that helps enter image description here

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