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References
R. P. Bambah andC. A. Rogers, Covering the plane with convex sets,J. London Math. Soc.,27 (1952), pp. 304–314.
R. P. Bambah, C. A. Rogers andH. Zassenhaus, On covering with convex domains,Acta Arithmetica,9 (1964), pp. 191–207.
G. Blind, Über Unterdeckungen der Ebene durch Kreise,J. reine ang. Math.,236 (1969), pp. 145–173.
J. W. S. Cassels,An introduction to the geometry of numbers, Springer-Verlag, (Berlin-Göttingen-Heidelberg, 1959).
H. G. Eggleston, Approximation to plane convex curves. (I) Dowker-type theorems,Proc. London Math. Soc., (3),7 (1957), pp. 351–377.
G. Fejes Tóth andL. Fejes Tóth, Remark on a paper of C. H. Dowker,Periodica Math. Hung. (to appear).
L. Fejes Tóth,Lagerungen in der Ebene, auf der Kugel und im Raum (zweite Auflage), Springer-Verlag (Berlin-Göttingen-Heidelberg, 1972).
L. Fejes Tóth, Solid circle-packings and circle-coverings,Stud. Sci. Math. Hung.,3 (1968), pp. 401–409.
L. Fejes Tóth, Some packing and covering theorem,Acta Sci. Math. (Szeged),12/A (1950), pp. 62–67.
L. Fejes Tóth,Regular Figures, Pergamon Press (Oxford-London-New York-Paris, 1964).
A. Heppes, Filling a domain by discs,Publ. Math. Inst. Hung. Acad. Sci.,8/A (1964), pp. 363–371.
B. Matérn andO. Person, On the extremum properties of the equilateral triangular lattice and the regular hexagonal network,Förteckning Över, Rapporter och Uppsatser (Stockholm) Nr. 7 (1965).
C. A. Rogers, The closest packing of convex two-dimensional domains,Acta Math.,86 (1951), pp. 309–321.
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Tóth, G.F. Covering the plane by convex discs. Acta Mathematica Academiae Scientiarum Hungaricae 23, 263–270 (1972). https://doi.org/10.1007/BF01889922
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DOI: https://doi.org/10.1007/BF01889922