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I'm not quite sure how to explain this, but I try as good as I can:

I want to create a UV Map for a room with 8 walls that has a sphere shrinkwrapped onto it, so I can project equirectengular video material on it.

Has anyone experience with this?

So far I build the room: enter image description here

and I shrinkwrapped a sphere onto it: enter image description here

but the borderlines are weirdly pressed together so it's not just a clean edge and the corners are also filled incorrectly, is it normal in my case? Do I have to merge along the vertices and the edges at the borderlines manualy, so that I can make a seam there for the UV?

Is there a better solution to shrinkwrap a sphere onto such an object to get a clean spherical UV? Thanks for any hints

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Spherical projection

enter image description here

The above is the equirectangular projection of the Tissot Index Plate Carrie projection image found here Justin Kunimune / CC BY-SA (https://creativecommons.org/licenses/by-sa/4.0) onto a squashed 8 sided ngon filled cylinder.

enter image description here

The node set up explained in this answer https://blender.stackexchange.com/a/159492/15543

A Hammer Projection

and again using a Hammer Projection node setup as explained here of Tissot index hammer projection image from wiki by Justin Kunimune CC BY-SA 4.0

enter image description here

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    $\begingroup$ Bottom line is: instead of wrapping a mesh, use a texture and do the projection on the mesh itself. $\endgroup$
    – susu
    Jul 10 '20 at 16:28

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