The Small Hexagon and Heptagon with Maximum Sum of Distances Between Vertices

, , , , and

BibTeX reference

The hexagon and heptagon with unit diameter and maximum sum of Euclidean distances between vertices are determined by enumerating diameter configurations, and by using a branch and cut algorithm for nonconvex quadratic programming. Lower bounds on the value on this sum are presented for polygon with a larger number of vertices.

, 18 pages

Research Axis


The small hexagon and heptagon with maximum sum of distances between vertices
, , , , and
Journal of Global Optimization, 49(3), 467–480, 2011 BibTeX reference