Most all the theorist/logician/algebraist-turned-programmer folks I know all feel more-or-less the same way.
Just explain the pattern in english. Might as well call it a FooDeBar. Giving axioms and such is usually a waste of The Man's money and my time.
That said, I think it's extremely valuable to see this sort of thing in an academic or side project/enrichment activity setting. The mindset and mental model are fantastically helpful. See dshnkao's post, for example.