Combinatorics encoding geometry: the legacy of Bill Thurston in the story of one theorem

2020/08/27 by Philip L. Bowers, Bowers, Philip L. · 3 citations
Mathematics · Computer Science · #History and Theory of Mathematics #Mathematical Dynamics and Fractals #Computational Geometry and Mesh Generation

paper · pdf · doi:10.48550/arxiv.2008.12357

Abstract

This article presents a whirlwind tour of some results surrounding the Koebe-Andre'ev-Thurston Theorem, Bill Thurston's seminal circle packing theorem that appears in Chapter 13 of The Geometry and Topology of Three-Manifolds. It will appear as a chapter in the volume: In the tradition of Thurston: geometry and topology (ed. K. Ohshika and A. Papadopoulos), Springer, 2020.

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