NO!!!
The smallest polygon is 3 sided. it is a 'trigon' ( triangle).
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It is a vertex which is a corner of a polygon
An octagon with 8 sides.
Every polygon has two of its sides intersect.
There is no formula for how many sides there are in a polygon; the name of the polygon shows how many sides it has.
There is not a name for such a polygon. A polygon with one million sides is called a megagon though..