Ask Slashdot: How Can Programmers Explain Their Work To Non-Programmers?

Slashdot reader Grady Martin writes: I disrespect people who describe their work in highfalutin terms... However, describing my own work as "programming solutions to problems" is little more than codifying what just about anyone can perceive through intuition. Case in point: Home for the holidays, I was asked about recent accomplishments and attempted to explain the process of producing compact visualizations of branched undo/redo histories.

Responses ranged from, "Well, duh," to, "I can already do that in Word"...

It's the "duh" that I want to address, because of course an elegant solution seem obvious after the fact: Such is the nature of elegance itself. Does anyone have advice on making elegance sound impressive?
An anonymous Slashdot reader left this suggestion for explaining your work to non-programmers. "Don't. I get sick when I hear the bullshit artists spew crap out of their mouth when they have no idea wtf they're talking about. Especially managers..."

But how about the rest of you? How can programmers explain their work to non-programmers?