[How-to?] adjacent object meshes seamless, make invisible edges

Hello,

For several projects, I’m facing a recurring problem : how to make adjacent meshes seamless? How to make it a clean way? What are the good practices?
To give a few examples : EVE in Wall-E have seamless interlocks, or the doors for airplanes. For the colors and textures, there are ways for cheating, but making the edges invisibles, I wonder what is the best approach.

Post an example of what you have and what you want.

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Typically, the problem appears in this kind of situation, when the purpose is to create something like a seamless door on a sphere.

It seems you tried creases to make unsubdivide edges… but for “inner edges” you have to use them “across” the edgse (or whatever you call this) pulled the door a little to see the difference:

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Thanks a lot. The “invert” for crease edges was the part I was missing. I should have think about the “tension” constraint.

With auto smooth normals enable, even with solidify modifier, it looks quite nice.