Dans ce polygone à 26 côtés, tout côté est inclus dans une droite qui contient au moins 2 côtés du polygone.

Quelles sont les valeurs de n > 3 pour lesquelles il n’existe pas de polygone non croisé à n côtés possédant la même propriété ?
This article is not yet available in English; the French version is shown.


Articles recommended for you.

The definition of a polygon seems intuitive and obvious. Yet when we try to pin down this mathematical object more precisely, several definitions are possible, and the most recent ones may defy common sense.

Where should a platter of canapés be placed to satisfy the guests as well as possible? This seemingly innocuous problem has inspired brilliant developments over the centuries. It also illustrates how individual and collective optimization are often at odds—a seemingly paradoxical result.