How can I let this texture fits the sphere perfectly ?
Can someone please tell a way to make it fits perfectly ?
please from scratch (cuz I’ve forgotten how I made the image-2 )
You should look at uv mapping tutorials to find a good way to unwrap a sphere. Or you could use a uv mapped cube as a base and smooth it a few times. That way you will get a UV layout that is fairly easy to work with. You will likely need body paint or something of that sort to fix seams with that though.