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math.CV2001
Hexagonal Circle Patterns and Integrable Systems. Patterns with Constant Angles
Alexander I. Bobenko, Tim Hoffmann
Hexagonal 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…
math.CV2001
Hexagonal circle patterns and integrable systems: Patterns with the multi-ratio property and Lax equations on the regular triangular lattice
A. I. Bobenko, T. Hoffmann, Yu. B. Suris
Hexagonal circle patterns are introduced, and a subclass thereof is studied in detail. It is characterized by the following property: For every circle the multi-ratio of its six in…
math.CV2000
Conformally symmetric circle packings. A generalization of Doyle spirals
Alexander I. Bobenko, Tim Hoffmann
From the geometric study of the elementary cell of hexagonal circle packings --- a flower of 7 circles --- the class of conformally symmetric circle packings is defined. Up to Moeb…