Thanks so much for your hypervigilance, hypervalent I! Of course, as happens so often, a good answer leads to more questions.
When you say "the other molecule is 1,3,5,7-tetramethyladamantane ," are you referring to the ball-and-stick model? (if so, wow! - what is it used for?)
Can you confirm my notion that the vertical one (structural formula) represents PET? And if the horizontal formula can't be exactly specified with a common name, is it possible to characterize it more generally (e.g. "a polymer with single and linked benzene rings"?)
Thanks again for your insight!