aequationes mathematicae

, Volume 9, Issue 1, pp 99–106 | Cite as

Improved bounds for the disk-packing constant

  • David W. Boyd
Research Papers


Improve Bound 
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  1. [1]
    Beckenbach, E. F. andBellman, R.,Inequalities (Springer-Verlag, 1965).Google Scholar
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    Boyd, D. W.,Lower Bounds for the Disk-packing Constant, Math. Comp.24, 697–704 (1970).Google Scholar
  3. [3]
    Boyd, D. W.,The Disk-packing Constant, Aequationes Math.7, 182–193 (1971).Google Scholar
  4. [4]
    Hirst, K. E.,The Apollonian Packing of Circles, J. London Math. Soc.42, 281–291 (1967).Google Scholar
  5. [5]
    Marcus, M. andLopes, L.,Inequalities for Symmetric Functions and Hermitian Matrices, Canad. J. Math.9, 305–312 (1957).Google Scholar
  6. [6]
    Melzak, Z. A.,On the Solid-packing Constant for Circles, Math. Comp.23, 169–172 (1969).Google Scholar
  7. [7]
    Wilker, J. B.,Open Disk Packings of a Disk, Canad. Math. Bull.10, 395–415 (1967).Google Scholar

Copyright information

© Birkhäuser Verlag 1973

Authors and Affiliations

  • David W. Boyd
    • 1
  1. 1.University of British ColumbiaVancouverCanada

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