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A note on circle patterns on surfaces

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Abstract

In this paper we give two different proofs of Bobenko and Springborn’s theorem of circle pattern: there exists a hyperbolic (or Euclidean) circle pattern with proscribed intersection angles and cone angles on a cellular decomposed surface up to isometry (or similarity).

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, Piscataway, NJ, 08854, USA

    Ren Guo

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  1. Ren Guo
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Correspondence to Ren Guo.

Additional information

This work is partially supported by NSF Grant #0625935.

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Guo, R. A note on circle patterns on surfaces. Geom Dedicata 125, 175–190 (2007). https://doi.org/10.1007/s10711-007-9150-z

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