If I create a new file and do that, by default, it seems that Blender correctly maps the image on a sphere, as people would want.
But I have a screwed-up file that I cannot get this mapping back. I could create a new file and start over, but I wonder why it does not work. If I choose “smart UV project”, it becomes like this:
If I choose “sphere projection”, it becomes like this:
If I choose “cylinder projection”:
How do I get the default projection like the first screenshot? In case if you need to examine the file, here is the screwed-up file. damn.blend (760.3 KB)