A mobius loop which has one side and just one edge, could be your answer. Otherwise, a straight line segment may be it?
I guess you could say that a Mobius strip is a one-sided shape. Or a circle, because there are no corners or divisions where another side starts.
Points and corners are all vertices!
Irregular shape is the term given to an object which has 1 flat side, 1 curved side, no corners but has curved edges.
hexagon
A circle has only one side and it is called its circumference.
One curved side and NO corners.
A sphere.
A cube is one
There is not a shape with the most corners. You could always "one-up" the last shape. It is like with numbers, there is not a highest number, but instead there is infinity.
A circle?
There isnt one