What I said about the post is that part of it was "misleading". Being good-natured doesn't mean we can't disagree or say what we mean.
My usage of the term "lie" was in reference to the general tactic of explaining difficult subjects. Sometimes, you have to give an explanation that's a workable approximation. For instance, teaching kids about Newtonian physics, even though it's been superseded by General Relativity. That's okay, because the former has excellent predictive power and utility in most practical domains, is computationally much simpler, is pretty much at the level of what students in secondary school can handle, and provides a good example of how mathematics ties into physics, thus providing a useful motivation for studying calculus.
However, the amount of misrepresentation should always be minimized. I think this case is an excellent example, because the superficial explanation of describing the input as "triangles" fails to provide a motive. It's not a sufficient explanation, even at that level. Furthermore, there's really no reason you can't just tell someone that it's a technique for rendering curved surfaces. Anyone capable of understanding how polygon rendering works should be able to grasp that explanation. It's a better answer, since it immediately tells you the motivation, and doesn't require going over their heads.
First, who is the author and why should we believe their explanation is competent or authoritative?
Second, the basis for Tessellation (in modern graphics APIs) isn't triangles. It's triangular patches. Yes, at the coarsest level, you can approximate them as triangles. This is useful for demonstrating LoD. Still, it's not triangles that you're subdividing. Furthermore, patches can also be quadrilaterals.
That's fine if you like your explanation. I don't. You're not trying to force me to agree, are you? Am I allowed to have my own opinion on things?
I stand by what I've provided in my prior posts. I trust you've read them, since I'm sure you wouldn't engage me on a topic without having first taken the time to understand my position, such as I've represented it.