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arXiv · 1406.6741

Hyper-ideal circle patterns with cone singularities

Nikolay Dimitrov
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Abstract

The main objective of this study is to understand how geometric hyper-ideal circle patterns can be constructed from given combinatorial angle data. We design a hybrid method consisting of a topological/deformation approach augmented with a variational principle. In this way, together with the question of characterization of hyper-ideal patterns in terms of angle data, we address their constructability via convex optimization. We presents a new proof of the main results from Jean-Marc Schlenker's work on hyper-ideal circle patterns by developing an approach that is potentially more suitable for applications.

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Nikolay Dimitrov. 2014-06-26. Hyper-ideal circle patterns with cone singularities. https://arxiv.org/abs/1406.6741

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