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math.MGSep 22, 2010
85
citations (OpenAlex)
authors
  • Hai-Chau Chang
  • Lih-Chung Wang
arXiv abstractPDF
paper

A Simple Proof of Thue's Theorem on Circle Packing

arXiv:1009.4322

Abstract

A simple proof of Thue theorem on Circle Packing is given. The proof is only based on density analysis of Delaunay triangulation for the set of points that are centers of circles in a saturated circle configuration.

4 pages and 1 figure

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  • A generalization of Thue's theorem to packings of non-equal discs, and an application to a discrete approximation of entropy
  • Packings of equal disks in a square torus
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