Open Access
November 2017 Soccer Balls, Golf Balls, and the Euler Identity
Linda Lesniak, Arthur T. White
Missouri J. Math. Sci. 29(2): 219-222 (November 2017). DOI: 10.35834/mjms/1513306833


We show, with simple combinatorics, that if the dimples on a golf ball are all 5-sided and 6-sided polygons, with three dimples at each “vertex”, then no matter how many dimples there are and no matter the sizes and distribution of the dimples, there will always be exactly twelve 5-sided dimples. Of course, the same is true of a soccer ball and its faces.


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Linda Lesniak. Arthur T. White. "Soccer Balls, Golf Balls, and the Euler Identity." Missouri J. Math. Sci. 29 (2) 219 - 222, November 2017.


Published: November 2017
First available in Project Euclid: 15 December 2017

zbMATH: 06905067
MathSciNet: MR3737299
Digital Object Identifier: 10.35834/mjms/1513306833

Primary: 05C10

Keywords: Euler identity , golf balls , soccer balls

Rights: Copyright © 2017 Central Missouri State University, Department of Mathematics and Computer Science

Vol.29 • No. 2 • November 2017
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