44
Views
19
CrossRef citations to date
0
Altmetric
Original Articles

Circle Packing: Experiments In Discrete Analytic Function Theory

&
Pages 307-348 | Published online: 03 Apr 2012

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (1)

AlexanderI. Bobenko & Tim Hoffmann. (2001) Conformally Symmetric Circle Packings: A Generalization of Doyle's Spirals. Experimental Mathematics 10:1, pages 141-150.
Read now

Articles from other publishers (18)

Martin Cramer Pedersen, Stephen T. Hyde, Stuart Ramsden & Jacob J. K. Kirkensgaard. (2023) Mapping hyperbolic order in curved materials. Soft Matter 19:8, pages 1586-1595.
Crossref
Xilal Y. Rima, Jingjing Zhang, Luong T. H. Nguyen, Aaron Rajasuriyar, Min Jin Yoon, Chi-Ling Chiang, Nicole Walters, Kwang Joo Kwak, L. James Lee & Eduardo Reátegui. (2022) Microfluidic harvesting of breast cancer tumor spheroid-derived extracellular vesicles from immobilized microgels for single-vesicle analysis. Lab on a Chip 22:13, pages 2502-2518.
Crossref
Sharon Zhou, Jiequan Zhang, Hang Jiang, Torbjörn Lundh & Andrew Y Ng. (2021) Data augmentation with Mobius transformations. Machine Learning: Science and Technology 2:2, pages 025016.
Crossref
Ulrike Bücking. 2017. Symmetries and Integrability of Difference Equations. Symmetries and Integrability of Difference Equations 153 193 .
Daniel Alpay, Palle Jorgensen, Ron Seager & Dan Volok. (2012) On discrete analytic functions: Products, rational functions and reproducing kernels. Journal of Applied Mathematics and Computing 41:1-2, pages 393-426.
Crossref
G. Williams. (2006) A circle packing measurable Riemann mapping theorem. Proceedings of the American Mathematical Society 134:7, pages 2139-2146.
Crossref
Charles R. Collins, Tobin A. Driscoll & Kenneth Stephenson. (2013) Curvature Flow in Conformal Mapping. Computational Methods and Function Theory 3:1, pages 325-347.
Crossref
G. Brock Williams. (2003) Noncompact surfaces are packable. Journal d'Analyse Math?matique 90:1, pages 243-255.
Crossref
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.
Crossref
Charles R. Collins & Kenneth Stephenson. (2003) A circle packing algorithm. Computational Geometry 25:3, pages 233-256.
Crossref
Alexander I. Bobenko & Tim Hoffmann. (2003) Hexagonal circle patterns and integrable systems: Patterns with constant angles. Duke Mathematical Journal 116:3.
Crossref
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.
Crossref
Boris A. Springborn. 2003. Visualization and Mathematics III. Visualization and Mathematics III 59 68 .
Kenneth Stephenson. 2002. Geometric Function Theory. Geometric Function Theory 333 370 .
G. Brock Williams. (2001) Earthquakes and circle packings. Journal d'Analyse Mathématique 85:1, pages 371-396.
Crossref
Zheng-Xu He & Oded Schramm. (1997) On the distortion of relative circle domain isomorphisms. Journal d'Analyse Math?matique 73:1, pages 115-131.
Crossref
Philip Bowers & Kenneth Stephenson. (1997) A “regular” pentagonal tiling of the plane. Conformal Geometry and Dynamics of the American Mathematical Society 1:5, pages 58-86.
Crossref
Kenneth Stephenson. (1996) A probabilistic proof of Thurston's conjecture on circle packings. Rendiconti del Seminario Matematico e Fisico di Milano 66:1, pages 201-291.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.