Hostname: page-component-7b7567c8c-wxvwp Total loading time: 0 Render date: 2026-11-15T10:00:22.918Z Has data issue: false hasContentIssue false
  • English
  • Français

A Three-Fold Non-Lattice Covering

Published online by Cambridge University Press:  20 November 2018

W. J. Blundon
W. J. Blundon*
Affiliation:
Department of Mathematics Statistics and Computer Scicnce Memorial University of Newfoundland St. John's, Newfoundland
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

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

Information

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