Audet, Charles; Ninin, Jordan - In: Journal of Global Optimization 56 (2013) 3, pp. 1007-1016
The paper answers the three distinct questions of maximizing the perimeter, diameter and area of equilateral unit-width convex polygons. The solution to each of these problems is trivially unbounded when the number of sides is even. We show that when this number is odd, the optimal solution to...