G-2005-92
Ranking Small Regular Polygons by Area and by Perimeter
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From the pentagon onwards, the area of the regular convex polygon with n sides and unit diameter is greater for each odd number n than for the next even number n + 1. Moreover, from the heptagon onwards, the difference in areas decreases when n increases. Similar properties hold for the perimeter. A new proof of a result of Reinhardt follows.
Paru en décembre 2005 , 12 pages
Ce cahier a été révisé en novembre 2006
Axe de recherche
Publications
jan. 2009
Ranking small regular polygons by area and by perimeter
, et
Journal of Applied and Industrial Mathematics, 3(1), 21–27, 2009
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jan. 2008
Ranking small regular polygons by area and by perimeter
, et
Diskretnyi Analiz i Issledovanie Operatsii, 15(3), 65–73, 2008
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