A regulation soccer ball is comprised of both hexagons and pentagons.
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A hexagon is itself a polygon so it makes little sense to ask about hexagons and polygons. In any case, there were no polygons in the official soccer ball at the 2014 FIFA World Cup in Brazil. The ball was the Adidas Brazuca and it was made from six rounded cross-like shapes.
A circle.
The shape of a soccer ball is a sphere. The stitching pattern of a traditional ball is that of a truncated icosahedron cocentric with the sphere with the pattern projected onto the sphere.
The soccer ball is round in three dimensions. It's a sphere. (The Laws of the Game actually specify a spherical ball.)