ar X iv : 0 80 8 . 12 17 v 1 [ m at h . M G ] 8 A ug 2 00 8 A SHORT PROOF OF THE TWELVE POINTS THEOREM

نویسنده

  • M. Skopenkov
چکیده

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

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تاریخ انتشار 2008