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A short proof of the Twelve points theorem by Cencelj, Matija; Repovš, Dušan; Skopenkov, Mikhail is a scholarly article available to read on EtoBox.

What is A short proof of the Twelve points theorem about?

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.

Author

Cencelj, Matija; Repovš, Dušan; Skopenkov, Mikhail

Published

2008

Language

EN