On the products of cross-ratios on diagonals of polygons
- Joseph Zaks
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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 δ(P), such that the product of the cross-rations on the diagonals of P is equal to the product of the corresponding cross-ratios on the diagonals of δ(P).
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- Moran, M.: About a conjecture of Schoenberg on nested polygons, in C. Alsina et al. (eds) European Conference on Iteration Theory (ECIT 87), Caldes de Malavella, Spain, Sept. 1987, World Scientific, Washington, D.C., 1990, pp. 295–305.
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- On the products of cross-ratios on diagonals of polygons
Volume 60, Issue 2 , pp 145-151
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- Joseph Zaks (1)
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- 1. University of Haïfa, 31905, Haïfa, Israel