Hexagonal Circle Patterns and Integrable Systems. Patterns with Constant Angles

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dc.creatorBobenko, Alexander I.
dc.creatorHoffmann, Tim
dc.date2001-09-04
dc.date.accessioned2026-07-07T04:43:15Z
dc.date.available2026-07-07T04:43:15Z
dc.descriptionHexagonal circle patterns with constant intersection angles are introduced and studied. It is shown that they are described by discrete integrable systems of Toda type. Conformally symmetric patterns are classified. Circle pattern analogs of holomorphic mappings $z^c$ and $\log z$ are constructed as special isomonodromic solutions. Circle patterns studied in the paper include Schramm's circle patterns with the combinatorics of the square grid as a special case.
dc.description33 pages, 14 figures
dc.identifierhttps://arxiv.org/abs/math/0109018
dc.identifierhttp://arxiv.org/abs/math/0109018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62136
dc.subjectComplex Variables
dc.subjectExactly Solvable and Integrable Systems
dc.subject52C26; 37K20; 37K60
dc.titleHexagonal Circle Patterns and Integrable Systems. Patterns with Constant Angles
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