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
Pages
16
From page
135
To page
150
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
Serial Year
2007
Journal title
Journal of Combinatorial Theory Series A
Record number
1531165
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