Does a circle have zero edges or infinite edges?
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I tried to make closed polygons of edges with a wire.
Since the set of points which define a circle are so close together, there is no edge between them, making infinite limits tricky.
We can define projections which convert straight lines to circles.
A side is a line segment between $2 and points.It is impossible to fit a line between the points in a circle.The circle would have $0$ sides.