I don't know how I can check it, guys - I'm not changing anything in the model position on the stage. I just try it out with the cube - it works. Then I delete sky cube with awful texture, and replace it with sky sphere - then my hero starts "floating". That's all. It is not very likely that my player is "stuck" in some geometry, etc. The sphere is hollow. Standard sky taken from "Terminal 26" site... Really frustrating.

Well, it really looks like I'll have to go on using those sky cubes. I would appreciate any advice on improving the look of my sky on a standard sky cube, though...