On the products of cross-ratios on diagonals of polygons

Research output: Contribution to journalArticlepeer-review

Abstract

The purpose of this paper is to establish a conjecture of B. Grünbaum, which states that in every n-polygon P in the plane, n ≥ 5, some diagonals intersect in a pattern that defines a new n-polygon 6 (P), such that the product of the cross-ratios on the diagonals of P is equal to the product of the corresponding cross-ratios on the diagonals of δ(P).

Original languageEnglish
Pages (from-to)145-151
Number of pages7
JournalGeometriae Dedicata
Volume60
Issue number2
DOIs
StatePublished - 1996

Keywords

  • Grünbaum conjecture
  • Polygons

ASJC Scopus subject areas

  • Geometry and Topology

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