Circle, Oval or sphere
Every shape that is round does not have edges. A shape that has sharp points and has straight lines can have edges.
Any shape with straight edges can have perpendicular edges.
a circleA pedantic edit:Also an ellipse or a wriggly loop.Any shape that has no straight edges is described as a curvilinear shape.
Rule for PolygonThe rule/meaning for a polygon is; A shape that has to have three or more straight edges. They have to be connected. The rule for a shape to be a polygon is it has to be a shape that has three or more straight edges, none of them can overlap, and they all have to be connected.What_is_the_Rule_for_a_polygon
Overall
An ellipse is a shape that could be described as looking like 'a squashed circle.' With no straight edges, this shape is also called an oval.
An Octagon
hexagon
A pentagon
hexagon
octagon !
Polyhedra.