How to Morph an object from Flat Mesh to a 3D Mesh Using UV Coordinates

It could have been UV coordinates, but it is less frequently used. Lots of tools in Grasshopper, among Nautilus, don’t take into account UV coordinates so they are lost after transformation.
This is also a reason why most helpers on this forum insist to have realistic data (geometry script …) because devil is in the details. You can read this to have further explanations

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