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A Simple Proof of Thue's Theorem on Circle Packing

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arxiv 1009.4322 v1 pith:WIQRHWPR submitted 2010-09-22 math.MG

Hai-Chau Chang , Lih-Chung Wang This is my paper · ORCID
classification math.MG
keywords circleproofpackingsimpletheoremthueanalysiscenters
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On Dense Tetrahedra in Binary Sphere Packings

    math.MG 2025-05 conditional novelty 6.0 of 10

    A computer-assisted geometric proof shows that packings of spheres of radii 1 and sqrt(2)-1 have density at most about 0.812542, slightly improving the previous best bound of 0.813.

  2. Sphere Packing on a Quantum Computer for Chromatography Modeling

    quant-ph 2024-11 conditional novelty 4.0 of 10

    A proof-of-concept that maps circle packing for chromatography to a maximum independent set problem and runs QAOA on 18 qubits, with resource estimates for harder sphere packing variants.

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