There are an infinite number.
The simplest is a pentagon, with five sides.
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A circle or sphere has an infinite number of lines of symmetry.
circle, sphere, cylinder
A square
A shape with four sides has more vertices because there are more points where edges (straight lines) meet than a 3-sided shape.
Most shapes will have more than two sides. If the sides are straight lines, the shapes MUST have more than two sides.