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A Three-Fold Non-Lattice Covering

Published online by Cambridge University Press:  20 November 2018

W. J. Blundon
W. J. Blundon*
Affiliation:
Department of MathematicsStatistics and Computer Scicnce Memorial University of Newfoundland St. John's, Newfoundland
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Let be the density of thinnest k-fold covering of the plane by equal circles (of radius 1, say). Let Dk be the corresponding density when the centres of the circles are at the points of a lattice Λ. It is clear that

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 1 , 01 March 1977 , pp. 29 - 31
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Blundon, W. J., Multiple coverings of the plane by circles, Mathematika 4 (1957), 7-16.Google Scholar
2. Danzer, L., Drei Beispliele zu Lagerungsproblemen, Arch. Math. 11 (1960), 159-165.Google Scholar
3. Kershner, R., The number of circles covering a set, Amer. J. Math. 61 (1939), 655-671.Google Scholar