What is the name of this drawing style?

In Avatar-The Last Airbender, there was one episode in which the drawing style changed to pay homage to a particular artist of another anime, the name of that style is what I'm looking for. The episode was entitled "The Great Divide", and the shift in style occurs at the point that the barbarian folks tell their side of the story. The style looks simplified with very heavy outlines, the detail too is rather angular, sharp I mean; lots of sharp corners where they don't really need to be. This same style appears in "magical shopping arcade abinobashi"; the other anime the avatar folks were paying homage to. It appears for only one shot in one episode to my memory, the war arcade episode: "Resolution!! Abenobashi Battlefield Shopping Arcade". Towards the end of the episode the main characters stand over a makeshift grave and discuss going home, at one point in their conversation the drawing style shifts. A simalar style appears in the Grim Adventures of Billy & Mandy for a few seconds in one episode where Billy gets his eyes zaped by Grim; "My Peeps", I believe. The style as it appears in this show was very grity, same thick outlines, but specks of ink or lead could be seen on the drawing. I hope that's enough references, I just don't know what this style is called, I want to use it in a manga I'm working on, but I need more references to study to get a real feel for it, but first I need the name of the style so I can find those references. I had heard it was called "cheesecake", but all I get when I search that is girly pin up pictures, and that's not the style anyway. If anybody knows the name, or even other artists, pictures, anime, or whatever that uses this style would be most helpful. Thanx