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A parabola has one vertex (but not in the sense of an angle), infinitely many points and no edges.
Every shape that is round does not have edges. A shape that has sharp points and has straight lines can have edges.
They are the sets of points (lines) at which two faces meet.
Edges are found in 3-dimensional objects. Then vertices are the corners and edges are the lines formed where two faces meet. In this case, sides usually refers to the faces.
They are points where three or more edges meet.