When p is 1 (= using Manhattan distance), it's a square.
When p is 2 (= using Euclidean distance), it's a circle.
Is there a term for a set of points with constant Minkowski distance from its center, either for all such shapes, or only for one of p < 1, 1 < p < 2, or 2 < p?
I found the term "superellipse", and in the special case of the "supercircle", the formula seems to be equivalent to having a constant Minkowski distance.