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Why Does a Soccer Ball Have Patterns of Pentagons and Hexagons on Its Surface

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  We can  define a soccer ball as a spherical polyhedron with the following properties. (1) it is a polyhedron that consists only of pentagons and hexagons; (2) the sides of each pentagon meet only hexagons; and (3) the sides of each hexagon alternately meet pentagons and hexagons. (4) precisely three edges meet at every vertex There is a unique way of putting them together, giving rise to the iconic standard soccer ball. The truncated icosahedron is an Archimedean solid in geometry. It is one of the 13 convex isogonal non-prismatic solids whose 32 faces are two or more types of regular polygons.[3] A soccer ball may appear as a simple sphere, but beneath its smooth exterior lies a meticulously crafted structure. Do you know that? Beneath the exterior, there is the artful interplay of polygons and exquisite craftsmanship. Polygons are two-dimensional shapes comprised of straight sides, each forming angles at their vertices. The polygons on soccer balls are pentagons