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arXiv · 1902.04455

Area and perimeter foliations on spaces of polygons

Aziz El Kacimi Alaoui·Abdellatif Zeggar
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Abstract

We describe all families of star-shaped n-polygons in the Euclidean plane with prescribed perimeter and area ; they are leaves of a foliation F on the space of star-shaped n-polygons. By the way, we study some geometric properties of convex polygons, for instance their inscriptibility in a circle and their regularity in relation with the perimeter and the area.

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Aziz El Kacimi Alaoui, Abdellatif Zeggar. 2019-02-12. Area and perimeter foliations on spaces of polygons. https://arxiv.org/abs/1902.04455

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