Kubrick films ALWAYS have a message
While some theories are far-fetched, some are clearly done intentionally.
Prime example is the pattern on the rug. It was deliberately reversed. If you dare argue this was a continuity error, you are wrong. Toy cars realigned exactly the same.
My point is if this was done, you know fair well there are dozens of other such arrangements.
http://img.photobucket.com/albums/v405/Merely/for%20messages/SS1137_zp sfbbf8bf7.jpg
Screenshot of Danny and rug