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Solution to the problem of the (previous) week
Problem:Sepp Herberger (the famed coach of the German national soccer team in 1954) coined the sentence ``The ball is round''. Contrary to this statement, let us assume that a soccer ball is a polyhedron.
Determine the number of the vertices by means of the Euler polyhedron formula.
Solution:Let denote the number of vertices, the number of edges, the number of pentagons, and the number of hexagons of a soccer ball.