Communicating with his fans...

As stated, Kubrick's fans are able to establish their own perspective on the director through his unique style, His themes, visuals, and techniques that run throughout, and as I am researching, all the ways in which his films interlock, are ways he reaches out to his fans.

I believe that the real reason he presents so many ways in which his films share similar visuals, themes, and quite clear intertextuality, was because he was communicating with the audience; specifically his fans.  Seeing as the press didn't portray Kubrick realistically, he had to portray himself through his pictures.

"Each film was a way of exploring... each film enabled him to extend his own investigation of himself by exhausting the area of research it opened up to his artistic and scientific imagination... he was incapable of repeating a subject: it would mean repeating himself."

For example, he loved boxing, hense the hand-to-hand action; he loved chess, and thus had strategical methods and games are heavily involved in his features... at no point I feel he was trying to show off he skills, apart from maybe Eyes Wide Shut when publicity went to his head a little.