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arxiv: math/0703183 · v1 · submitted 2007-03-07 · 🧮 math.GT

A note on circle patterns on surfaces

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keywords circleanglespatternbobenkocellularconedecomposeddifferent
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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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