What question did this study set out to answer?

The central aim is to examine isoperimetric inequalities for plane n-gons and connect them with Paul Levy's conjecture.

July 11, 2026Open Access

Paul levy's Isoperimetric Problems on cyclic polygons

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The central aim is to examine isoperimetric inequalities for plane n-gons and connect them with Paul Levy's conjecture.
Analyzed isoperimetric properties of cyclic polygons
Investigated historical conjectures related to these properties
Utilized geometric principles to formulate inequalities.
Established new inequalities that support Levy's conjecture
Showed relationships between perimeter and area in cyclic n-gons
Validated existing theories with new geometric insights.

Explores isoperimetric inequalities in cyclic polygons, highlighting implications for a historic conjecture.

In this paper we are interested in isoperimetric inequalities for plane n-gons in relation with a old conjecture proposed by P. Levy.

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A. Raouf Chouikha (2026) studied this question.

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Explores isoperimetric inequalities in cyclic polygons, highlighting implications for a historic conjecture.

In this paper we are interested in isoperimetric inequalities for plane n-gons in relation with a old conjecture proposed by P. Levy.