Title of article :
The small octagon with longest perimeter
Author/Authors :
Audet، نويسنده , , Charles and Hansen، نويسنده , , Pierre and Messine، نويسنده , , Frédéric، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
Abstract :
The convex octagon with unit diameter and maximum perimeter is determined. This answers an open question dating from 1922. The proof uses geometric reasoning and an interval arithmetic based global optimization algorithm to solve a series of non-linear and non-convex programs involving trigonometric functions.
Keywords :
octagon , diameter , Non-convex program , Perimeter , interval arithmetic
Journal title :
Journal of Combinatorial Theory Series A
Journal title :
Journal of Combinatorial Theory Series A
