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Mathematik-Online problems: Lösungshinweis to

Interactive Problem 2: Combinatorics of a Soccer Ball

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
The surface of a soccer ball is made up of black pentagons and white hexagons. At each vertex, two hexagons and one pentagon meet. Each edge connects two vertices and two faces.

Use these relations in combination with the Euler polyhedron formula and solve the system of equations obtained for the number of vertices.

(Authors: Hörner/Walter)
[problem]
  automatisch erstellt am 10.  6. 2005