soccer ball made up from black pentagons and white hexagons
Source: 1983 German Federal - Bundeswettbewerb Mathematik - BWM - Round 1 p1
November 22, 2022
3D geometrygeometryhexagonpentagon
Problem Statement
The surface of a soccer ball is made up of black pentagons and white hexagons together. On the sides of each pentagon are nothing but hexagons, while on the sides of each border of hexagons alternately pentagons and hexagons. Determine from this information about the soccer ball , the number of its pentagons and its hexagons.