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The Hexagonal Packing Lemma and Discrete Potential Theory

Published online by Cambridge University Press:  20 November 2018

Dov Aharonov
Dov Aharonov*
Affiliation:
Dov Aharonov Dept. of Mathematics Technion-I.I.T. Haifa 32000, Israel
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Abstract

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One of the questions concerning the Hexagonal Packing Lemma ([1], [3], [4]) is the rate of convergence of Sn. It was suggested in [3] and [4] that Sn = 0(1/n). In the following we prove this conjecture under the additional condition of some "nice" behaviour of the "circle function".

Keywords

30C3531C20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 2 , 01 June 1990 , pp. 247 - 252
Copyright
Copyright © Canadian Mathematical Society 1990

References

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5. Rodin, B. and Sullivan, D. The Convergence of Circle Packings to the Riemann Mappings. J. Differential Geometry 26 (1987), 349–360.Google Scholar