Improved coverings of a square with six and eight equal circles

J.B.M. Melissen, Peter Schuur

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In a recent article, Tarnai and Gáspár used computer simulations to find thin coverings of a square with up to ten equal circles. We will give improved coverings with six and eight circles and a new, thin covering with eleven circles, found by the use of simulated annealing. Furthermore, we present a combinatorial method for constructing lower bounds for the optimal covering radius.
Original languageEnglish
Article numberR32
Pages (from-to)-
JournalElectronic journal of combinatorics
Issue number1
Publication statusPublished - 1997


  • METIS-124529
  • IR-95963


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