An hexagon is a polygon that has six sides and six vertices.
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A shape with four sides has four vertices and a shape with three sides has three vertices, so a shape with four sides has more vertices than a shape with three sides.
There is no such shape.
A pentagon has five sides and five vertices
It is a shape with six straight sides (and six vertices). That is all. So it could look like: |\..../| |..\/..| |......| |../\.| |/...\| Of course, it need not be symmetrical.
A dodecagon