A Short Proof of Euler’s Relation for Convex Polytopes
Canadian mathematical bulletin, Tome 40 (1997) no. 4, pp. 471-474
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The purpose of this paper is to present a short, self-contained proof of Euler’s relation. The ingredients of this proof are (i) the principle of inclusion and exclusion of combinatorics and (ii) the Euler characteristic; a development of the Euler characteristic is included.
A Short Proof of Euler’s Relation for Convex Polytopes. Canadian mathematical bulletin, Tome 40 (1997) no. 4, pp. 471-474. doi: 10.4153/CMB-1997-056-4
@misc{10_4153_CMB_1997_056_4,
title = {A {Short} {Proof} of {Euler{\textquoteright}s} {Relation} for {Convex} {Polytopes}},
journal = {Canadian mathematical bulletin},
pages = {471--474},
year = {1997},
volume = {40},
number = {4},
doi = {10.4153/CMB-1997-056-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-056-4/}
}
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