Thanks Santiago and Tim.
This is the only other shot I have of the exterior of the Colosseum, and it does show all three column Orders: Doric (1st level). Ionic (2nd) and Corinthian (3rd).
The other building that oozes order is the Pantheon. The stability these buildings evoke contrasts pretty sharply with present day Rome. We were only there 3 day's, but in that time there were 2 riots, and a general train and taxi strike. Combined the traffic and chaos the word order does not come to mind. But we loved every minute.