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COMBINATORICS
2002

New Lower Bounds for Heilbronn Numbers

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New Lower Bounds for Heilbronn Numbers
The n-th Heilbronn number, Hn, is the largest value such that n points can be placed in the unit square in such a way that all possible triangles defined by any three of the points have area at least Hn. In this note we establish new bounds for the first Heilbronn numbers. These new values have been found by using a simple implementation of simulated annealing to obtain a first approximation and then optimizing the results by finding the nearest exact local maximum.
Francesc Comellas, J. Luis A. Yebra
Added 17 Dec 2010
Updated 17 Dec 2010
Type Journal
Year 2002
Where COMBINATORICS
Authors Francesc Comellas, J. Luis A. Yebra
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