pentagon
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There is no such thing as the shape with the 'most' sides. No matter how many sides you draw a shape with, somebody else can easily come along and draw a shape with one or two or fifty more sides. The more sides a shape has, the more it gets to look like a circle.
A shape with four sides has more vertices because there are more points where edges (straight lines) meet than a 3-sided shape.
no Improved Answer it can have two sides but it will need more then one maintain the qualities of a shape. must have more the 2 sides
A shape with straight sides is called a polygon. But it can have 3 or 4 sides as well.
A shape with three or more sides is a polygon. Not sure there is a special name for 4 or more sides.