Groupe d’études et de recherche en analyse des décisions


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.

, 12 pages

Ce cahier a été révisé en novembre 2006