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Experimental Mathematics Volume 10, 2001 - Issue 1
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Original Articles

Conformally Symmetric Circle Packings: A Generalization of Doyle's Spirals

Alexander I. Bobenko Fachbereich Mathematik, Technische Universitat Berlin, Str. 17 Juni 136, 10623, Berlin, Germany E-mail: [email protected]
&
Tim Hoffmann Fachbereich Mathematik, Technische Universitat Berlin, Str. 17 Juni 136, 10623, Berlin, Germany E-mail: [email protected]
Pages 141-150 | Published online: 04 Apr 2012

Citations (13)

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Read on this site (2)

Shi-Yi Lan & Li-Juan Nong. (2016) The Möbius invariants for circle packings. Complex Variables and Elliptic Equations 61:10, pages 1409-1417.
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Wolfgang Karl Schief. (2003) Lattice Geometry of the Discrete Darboux, KP, BKP and CKP Equations. Menelaus’ and Carnot’s Theorems. Journal of Nonlinear Mathematical Physics 10:sup2, pages 194-208.
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Articles from other publishers (11)

Ulrike Bücking. (2021) Conformally Symmetric Triangular Lattices and Discrete ϑ-Conformal Maps. International Mathematics Research Notices 2021:24, pages 18442-18475.
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Nalini Joshi, Kenji Kajiwara, Tetsu Masuda & Nobutaka Nakazono. (2021) Discrete power functions on a hexagonal lattice I: derivation of defining equations from the symmetry of the Garnier system in two variables. Journal of Physics A: Mathematical and Theoretical 54:33, pages 335202.
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Ulrike Bücking. 2017. Symmetries and Integrability of Difference Equations. Symmetries and Integrability of Difference Equations 153 193 .
Mario Botsch, Leif Kobbelt, Mark Pauly, Pierre Alliez & Bruno Levy. 2010. Polygon Mesh Processing. Polygon Mesh Processing 203 225 .
Marcel BergerMarcel Berger. 2010. Geometry Revealed. Geometry Revealed 61 139 .
S. I. Agafonov & A. I. Bobenko. (2003) Hexagonal circle patterns with constant intersection angles and discrete Painlevé and Riccati equations. Journal of Mathematical Physics 44:8, pages 3455-3469.
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Alexander I. Bobenko & Tim Hoffmann. (2003) Hexagonal circle patterns and integrable systems: Patterns with constant angles. Duke Mathematical Journal 116:3.
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A D King & W K Schief. (2003) Tetrahedra, octahedra and cubo-octahedra: integrable geometry of multi-ratios. Journal of Physics A: Mathematical and General 36:3, pages 785-802.
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Сергей Иванович Агафонов & Sergei Ivanovich Agafonov. (2003) Дискретное отображение $Z^\gamma$: вложенные системы окружностей с комбинаторикой квадратной решетки и дискретные уравнения ПенлевеDiscrete $Z^{\gamma}$: Embedded Circle Patterns with the Square Grid Combinatorics and Discrete Painlevé Equations. Теоретическая и математическая физика Teoreticheskaya i Matematicheskaya Fizika 134:1, pages 5-17.
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B G Konopelchenko & W K Schief. (2002) Menelaus$apos$ theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy. Journal of Physics A: Mathematical and General 35:29, pages 6125-6144.
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Tim Hoffmann. 2002. Multimedia Tools for Communicating Mathematics. Multimedia Tools for Communicating Mathematics 117 130 .

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