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math.MG2015
Discrete uniformization of finite branched covers over the Riemann sphere via hyper-ideal circle patterns
Alexander Bobenko, Nikolay Dimitrov, Stefan Sechelmann
With the help of hyper-ideal circle pattern theory, we have developed a discrete version of the classical uniformization theorems for surfaces represented as finite branched covers…
math.MG2014
Hyper-ideal circle patterns with cone singularities
Nikolay Dimitrov
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 consis…
math.MG2010
On Some Results Related to Napoleon's Configurations
Nikolay Dimitrov
The goal of this paper is to give a purely geometric proof of a theorem by Branko Grünbaum concerning configuration of triangles coming from the classical Napoleon's theorem in pla…