I'm interested in finding a word (if it exists) for describing how regular polygons are less regular than circles. Even though they are regular, it seems apparent that there is some characteristic that separates them from circles.
Basically, the points that make up the perimeter of a circle can be described by a single function instead of a piecewise function and all of these points are equal in all respects, whereas in $n$-gons, they become less "equal" with decreasing $n$.
Specifically, I want to describe the difference described above between a hexagram and a circle in one word (or maybe two). Right now, what I wrote reads "irregular" shape (referring to the hexagram), but that's just not right – a regular hexagram is not an irregular shape.