A short proof of the Twelve points theorem
Metric Geometry
2008-08-11 v1 Combinatorics
Abstract
We present a short elementary proof of the following Twelve Points Theorem: Let M be a convex polygon with vertices at the lattice points, containing a single lattice point in its interior. Denote by m (resp. m*) the number of lattice points in the boundary of M (resp. in the boundary of the dual polygon). Then m+m*=12.
Cite
@article{arxiv.0808.1217,
title = {A short proof of the Twelve points theorem},
author = {Matija Cencelj and Dušan Repovš and Mikhail Skopenkov},
journal= {arXiv preprint arXiv:0808.1217},
year = {2008}
}
Comments
in English and in Russian, 4 pages, 4 figures