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 language | English |
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Pages (from-to) | 145-151 |
Number of pages | 7 |
Journal | Geometriae Dedicata |
Volume | 60 |
Issue number | 2 |
DOIs | |
State | Published - 1996 |
Keywords
- Grünbaum conjecture
- Polygons
ASJC Scopus subject areas
- Geometry and Topology