Dense packings of congruent circles in a circle

@article{Graham1998DensePO,
  title={Dense packings of congruent circles in a circle},
  author={Ronald L. Graham and Boris D. Lubachevsky and Kari J. Nurmela and Patric R. J. {\"O}sterg{\aa}rd},
  journal={Discrete Mathematics},
  year={1998},
  volume={181},
  pages={139-154}
}
The problem of finding packings of congruent circles in a circle, or, equivalently, of spreading points in a circle, is considered. Two packing algorithms are discussed, and the best packings found of up to 65 circles are presented. 

From This Paper

Figures, tables, and topics from this paper.
68 Citations
21 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 68 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 21 references

Packing cylinders into cylindrical containers

  • S. Kravitz
  • Math. Mag. 40
  • 1967
Highly Influential
3 Excerpts

Constructing spherical codes by global optimization methods

  • K. J. Nurmela
  • Research Report A32, Digital Systems Laboratory…
  • 1995
1 Excerpt

Packing 16

  • H. Melissen, P. C. Schuur
  • 17 or 18 circles in an equilateral triangle…
  • 1995
1 Excerpt

Densest packing of eleven congruent circles in a circle

  • H. Melissen
  • Geom. Dedicata 50
  • 1994
1 Excerpt

Schuur , Packing 16 , 17 or 18 circles in an equilateral triangle

  • P. C. Melissen
  • Geom . Dedicata
  • 1994

Sphere Packings

  • J. H. Conway, N.J.A. Sloane
  • Lattices and Groups, 2nd ed., Springer, New York
  • 1993

Similar Papers

Loading similar papers…