If you increase the no of side of the polygon & make it infinite, how many will you have to change the direction? what will be the shape of the path?
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Adding more edges makes the shapes you can make less restrictive. Yes you can get closer to approximating a circle but you can also get closer to approximating any other shape. Keep in mind that
1) Angles can be negative (unless you want a convex polygon)
2) Setting an angle to 0 is like having one less edge, so it clearly gives us more options.
I hope that my answer was helpful to you!!
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