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%I #12 Apr 06 2016 09:09:22
%S 3,19,60,90
%N Smallest sum of length of edges and diagonals of an integer polygon with n vertices.
%C An integer polygon is a convex polygon such that the distance between every pair of vertices is an integer (in some length units).
%H B. E. Peterson and J. H. Jordan, <a href="http://www.jstor.org/stable/3618764">Integer geometry: some examples and construction</a>, The Mathematical Gazette, Volume 81, Number 490, 1997, pages 18-28.
%e An equilateral triangle with sides of length 1 has the smallest perimeter. Hence a(3)=3.
%e The integer quadrilateral with the smallest sum of lengths of edges and diagonals is a trapezium with bases of length 3 and 4, legs of length 2 and diagonals of length 4. Hence a(4)=19.
%Y Cf. A096872 for minimum diameter.
%K nonn,more
%O 3,1
%A _Dmitry Kamenetsky_, Feb 20 2016