caa a22 4500 606200851 CHVBK 20210128100945.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s00025-015-0453-3 doi (NATIONALLICENCE)springer-10.1007/s00025-015-0453-3 Dimitrov Nikolay Insitut für Mathematik MA 8-4, Technische Universität Berlin, Straße des 17. Juni 136, 10623, Berlin, Germany aut Hyper-ideal Circle Patterns with Cone Singularities [Elektronische Daten] [Nikolay Dimitrov] The main objective of this study is to explore how hyper-ideal circle patterns can be reconstructed from given combinatorial angle data. More precisely, we focus on the existence, uniqueness and construction of hyper-ideal circle patterns with prescribed combinatorics and intersection angles between adjacent circles. In essence, we propose a new proof of the already existing results from Jean-Marc Schlenker's work on the topic. Our attempt is to develop a slightly different approach that is potentially more suitable for applications and thus leading to a more direct convex variational principle than Schlenker's. Springer Basel, 2015 Hyper-ideal circle pattern nationallicence cell complex nationallicence hyper-ideal tetrahedron nationallicence hyperbolic volume nationallicence variational principle nationallicence Results in Mathematics Springer Basel 68/3-4(2015-11-01), 455-499 1422-6383 68:3-4<455 2015 68 25 https://doi.org/10.1007/s00025-015-0453-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00025-015-0453-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Dimitrov Nikolay Insitut für Mathematik MA 8-4, Technische Universität Berlin, Straße des 17. Juni 136, 10623, Berlin, Germany aut NATIONALLICENCE 773 0- Results in Mathematics Springer Basel 68/3-4(2015-11-01), 455-499 1422-6383 68:3-4<455 2015 68 25