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 A269156 Smallest sum of length of edges and diagonals of an integer polygon with n vertices. 0
 3, 19, 60, 90 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,1 COMMENTS An integer polygon is a convex polygon such that the distance between every pair of vertices is an integer (in some length units). LINKS Table of n, a(n) for n=3..6. B. E. Peterson and J. H. Jordan, Integer geometry: some examples and construction, The Mathematical Gazette, Volume 81, Number 490, 1997, pages 18-28. EXAMPLE An equilateral triangle with sides of length 1 has the smallest perimeter. Hence a(3)=3. 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. CROSSREFS Cf. A096872 for minimum diameter. Sequence in context: A215646 A182353 A012863 * A041015 A185448 A114250 Adjacent sequences: A269153 A269154 A269155 * A269157 A269158 A269159 KEYWORD nonn,more AUTHOR Dmitry Kamenetsky, Feb 20 2016 STATUS approved

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Last modified June 8 01:57 EDT 2023. Contains 363157 sequences. (Running on oeis4.)