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The asymptotic value of the circle-packing rigidity constants s n *

Authors:

P Doyle Zheng-Xu He B Rodin

Institution:

1. University of California, San Diego, 92091, La Jolla, CA, USA

Abstract:

The hexagonal circle-packing rigidity constantss _n are known to satisfys _n=O(1/n). In this paper it is shown that

$\mathop {\lim }\limits_{n \to \infty } ns_n = 2\sqrt3]{2}\Gamma ^2 (\tfrac{1}{3})/3\Gamma ^2 (\tfrac{2}{3}) = 4.45165....$

Keywords:
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