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http://dx.doi.org/10.5831/HMJ.2011.33.4.495

A CONVERSE OF EULER'S THEOREM FOR POLYHEDRA  

Ahn, Seung-Ho (Department of Mathematics, Chonnam National University)
Kim, Dong-Soo (Department of Mathematics, Chonnam National University)
Kim, Young-Ho (Department of Mathematics, Kyungpook National University)
Publication Information
Honam Mathematical Journal / v.33, no.4, 2011 , pp. 495-498 More about this Journal
Abstract
We give a converse of the well-known Euler's theorem for convex polyhedra.
Keywords
Euler's theorem; convex polyhedra;
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  • Reference
1 Hilton, P. and Pedersen, J., The Euler characteristic and Polya's dream, Amer. Math. Monthly 103(1996), 121-131.   DOI   ScienceOn
2 Hopf, H., Differential Geometry in the Large, Springer-Verlag, Berlin, 1983.
3 Pak, C. R., Kim, S.-B., Kim, D.-S. and Cho, K. I., Are there any numbers other than the Euler number for polyhedra? (Korean), Comm. Korean Math. Soc. 15 (2000), no. 4, 669-674.
4 Polya, G., Mathematical Discovery, Combined Edition, John Wiley and Sons, Inc., New York, 1981.