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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
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
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 * A370434 A041015 A185448
KEYWORD
nonn,more
AUTHOR
Dmitry Kamenetsky, Feb 20 2016
STATUS
approved