English

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

Metric Geometry 2007-05-23 v1 Combinatorics

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.

Cite

@article{arxiv.math/0408104,
  title  = {The area of cyclic polygons: Recent progress on Robbins' Conjectures},
  author = {Igor Pak},
  journal= {arXiv preprint arXiv:math/0408104},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T17:08:35.106Z