Where angles go to make sense, or don't.
Squircles, the ultimate shape of nonsense, have a tendency to get stuck in infinite loops. Their angles are always off, but never quite wrong. Like the plot of a soap opera, or the reasoning of a politician. They just keep going, round and round, never quite resolving.
Spherical Abstractions are the result of trying to fit a round peg in a non-existent square hole. They're like the thinking that goes into a politician's promise. They're always trying to fit the facts around the shape they want to create, rather than letting the facts shape their creation.
Parabolas of Doom are what happens when you take a perfectly good idea and try to force it through the narrow, constricted channels of conventional thinking. They're like the plot twist that gets you killed in a bad horror movie. You see it coming, but it still gets you.