Explore BrainMass

Explore BrainMass

    Discrete Math : Proof that there must be 12 Pentagons on a Soccer Ball

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    A soccer ball is formed by stitching together pieces of material that are regular pentagons and regular hexagons. Each corner of a polygon is the meeting place for exactly three polygons. Prove that there must be exactly 12 pentagons.
    (Please see attachment for full question and background)

    © BrainMass Inc. brainmass.com March 4, 2021, 6:07 pm ad1c9bdddf


    Solution Summary

    Euler's theorem is used to prove that there must be 12 Pentagons on a Soccer Ball. The solution is detailed and well presented. The solution received a rating of "5" from the student who posted the question.