I'm curious about this. I always had the impression, mostly from reading Shamus Young, that there's no such thing as drawing something other than a triangle.
Blender guides tell you to divide your model into quadrilaterals. Though I did find one reddit post saying "I imported this model from a console game and it's all triangles. I thought models were supposed to use quads." The answer was "that model is finished, so it's in triangles because that's what you actually draw".
What's going on? Is there such a thing as drawing polygons with more than three sides? Why is the current advice "use quads" to the point that people don't even realize they're drawing triangles?