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http://dx.doi.org/10.7468/jksmeb.2012.19.1.37

TOTAL ANGULAR DEFECT AND EULER'S THEOREM FOR POLYHEDRA

Kim, Dong-Soo (Department of Mathematics, Chonnam National University)
Kim, Young-Ho (Department of Mathematics, College of Natural Sciences, Kyungpook National University)

Publication Information

The Pure and Applied Mathematics / v.19, no.1, 2012 , pp. 37-42 More about this Journal

Abstract

We give an elementary proof of Descartes' theorem for polyhedra. Since Descartes' theorem is equivalent to Euler's theorem for polyhedra, this also gives an elementary proof of Euler's theorem.

Keywords

polygon; polyhedron; exterior angle theorem; Euler's theorem; Descartes' theorem;

Citations & Related Records

Reference

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