The area of cyclic polygons: Recent progress on Robbins' Conjectures

2004/08/09 by Igor Pak, Pak, Igor · 2 citations
Mathematics · #51M25 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #math.CO #math.MG #msc:51M25

paper · pdf · doi:10.48550/arxiv.math/0408104

To appear in Advances Applied Math. (special issue in memory of David Robbins)

arxiv created 2004/08/09 · openalex publication_date 2004/08/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In his works [R1,R2] David Robbins proposed several interrelated conjectures on the area of the polygons inscribed in a circle as an algebraic function of its sides. Most recently, these conjectures have been established in the course of several independent investigations. In this note we give an informal outline of these developments.

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