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CirclePack

swMATH ID: 7662
Software Authors: Stephenson, Ken
Description: CirclePack is software for creation, manipulation, analysis, and display of circle packings; it handles circle packings having from 4 to (current record) 5,000,000 circles. For more about this topic see ”Introduction to Circle Packing: the Theory of Discrete Analytic functions” by Ken Stephenson, Cambridge University Press, 2005 (ISBN 0521823560) and papers on my web page http://www.math.utk.edu/ kens/
Homepage: http://www.math.utk.edu/~kens/CirclePack/
Related Software: Schwarz-Christoffel; SC Toolbox; SageMath; GAP; JULIA; MinSurfTool; Triangle; ABF++; Python; Gurobi; Matlab; DGD gallery; LEDA; SCIP; plantri; OEIS; SG; Harmony; RepnDecomp; PESTO
Cited in: 132 Documents

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
Introduction to circle packing. The theory of discrete analytic functions. Zbl 1074.52008
Stephenson, Kenneth
2005
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Cited by 181 Authors

9 Wegert, Elias
7 Bobenko, Alexander Ivanovich
7 Ge, Huabin
6 Bücking, Ulrike
6 Stephenson, Kenneth
5 Luo, Feng
5 Nachmias, Asaf
4 Bazhanov, Vladimir V.
4 Dai, Daoqing
4 Eppstein, David Arthur
4 Gu, Xianfeng David
4 Hutchcroft, Tom
4 Krieg, David
4 Lan, Shiyi
4 Sergeev, Sergeĭ Mikhaĭlovich
4 Springborn, Boris Andre
4 Williams, G. Brock
4 Xu, Xu
3 Angel, Omer
3 Glickenstein, David
3 Gortler, Steven J.
3 Gurel-Gurevich, Ori
3 Lam, Wai Yeung
3 Pinkall, Ulrich
3 Yau, Shing-Tung
3 Zhou, Ze
2 Bauer, David F.
2 Bowers, Philip L.
2 Butler, Steven Kay
2 Connelly, Robert
2 Crane, Edward
2 Devanny, William E.
2 Dostert, Maria
2 Felsner, Stefan
2 Graham, Ronald Lewis
2 Guettler, Gerhard
2 Guo, Ren
2 Hua, Bobo
2 Ivrii, Oleg V.
2 Kraus, Daniela
2 Li, Shengyu
2 Mallows, Colin Lingwood
2 Ray, Gourab
2 Sechelmann, Stefan
2 Wood, William E.
2 Xu, Yaping
2 Zhang, Min
1 Abou Chakra, Maria
1 Akopyan, Arseniy V.
1 Amon, Cristina H.
1 Ashe, James
1 Ba, Te
1 Bannister, Michael J.
1 Barlow, Martin T.
1 Beck, J. Christopher
1 Ben Chen, Mirela
1 Benjamini, Itai
1 Born, Stefan
1 Boyd, Stephen Poythress
1 Brilleslyper, Michael A.
1 Bumpus, J’lee
1 Cao, Yingying
1 Chen, Shikui
1 Chow, Bennett
1 Church, Richard L.
1 Collins, Charles R.
1 Cromwell, Peter R.
1 Curien, Nicolas
1 Da Lozzo, Giordano
1 Dai, Junfei
1 David, François
1 de Klerk, Etienne
1 De Mesmay, Arnaud
1 de Oliveira Filho, Fernando Mário
1 Diamond, Steven
1 Dimitrov, Nikolay
1 Doliwa, Adam
1 Dorff, Michael John
1 Elber, Gershon
1 Eynard, Bertrand
1 Fuchs, Urs
1 Gilat, Ben
1 Gilat, Tom
1 Goodman, Jacob Eli
1 Goodrich, Michael Truman
1 Gotsman, Craig
1 Günther, Felix
1 Hass, Joel
1 He, Xiaokai
1 Henrion, Didier
1 Hubard, Alfredo
1 Jiang, Wenshuai
1 Joshi, Nalini
1 Kajigaya, Toru
1 Kajiwara, Kenji
1 Kaluža, Vojtěch
1 Kels, Andrew P.
1 Knauer, Kolja B.
1 Koehl, Patrice
1 Kotani, Motoko
...and 81 more Authors
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Cited in 68 Serials

11 Discrete & Computational Geometry
6 Beiträge zur Algebra und Geometrie
6 Transactions of the American Mathematical Society
5 Advances in Mathematics
4 Complex Variables and Elliptic Equations
3 Nuclear Physics. B
3 Geometriae Dedicata
3 Calculus of Variations and Partial Differential Equations
3 Conformal Geometry and Dynamics
3 Geometry & Topology
3 Computational Methods and Function Theory
2 Discrete Applied Mathematics
2 Israel Journal of Mathematics
2 Journal of Mathematical Analysis and Applications
2 The Annals of Probability
2 Inventiones Mathematicae
2 Journal of Geometry
2 Proceedings of the American Mathematical Society
2 European Journal of Combinatorics
2 Computer Aided Geometric Design
2 Computational Geometry
2 Bulletin of the American Mathematical Society. New Series
2 Journal of Graph Algorithms and Applications
2 Journal of Physics A: Mathematical and Theoretical
2 Forum of Mathematics, Sigma
1 Applicable Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 American Journal of Mathematics
1 Applied Mathematics and Computation
1 Canadian Mathematical Bulletin
1 Journal of Differential Geometry
1 Journal of Functional Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Topology and its Applications
1 Journal of Computational Mathematics
1 Numerical Algorithms
1 Geometric and Functional Analysis. GAFA
1 European Journal of Operational Research
1 Expositiones Mathematicae
1 Russian Mathematics
1 The Journal of Analysis
1 International Journal of Computer Vision
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Optimization Methods & Software
1 Mathematical Physics, Analysis and Geometry
1 Annals of Mathematics. Second Series
1 Oberwolfach Reports
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Pure and Applied Mathematics Quarterly
1 Journal of Mathematics and the Arts
1 Complex Analysis and Operator Theory
1 SIAM Journal on Imaging Sciences
1 Statistics Surveys
1 Science China. Mathematics
1 Analysis and Mathematical Physics
1 Journal of Mathematics in Industry
1 Journal of Theoretical Biology
1 EURO Journal on Computational Optimization
1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
1 Journal of Applied and Computational Topology
1 Discrete Mathematics and its Applications
1 Annales Henri Lebesgue
1 Classroom Resource Materials
1 La Matematica
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Cited in 38 Fields

84 Convex and discrete geometry (52-XX)
40 Functions of a complex variable (30-XX)
26 Combinatorics (05-XX)
26 Differential geometry (53-XX)
14 Numerical analysis (65-XX)
13 Geometry (51-XX)
13 Manifolds and cell complexes (57-XX)
10 Computer science (68-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Probability theory and stochastic processes (60-XX)
7 Operations research, mathematical programming (90-XX)
6 General and overarching topics; collections (00-XX)
5 Number theory (11-XX)
4 Quantum theory (81-XX)
3 History and biography (01-XX)
3 Group theory and generalizations (20-XX)
3 Mechanics of deformable solids (74-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Mathematical logic and foundations (03-XX)
2 Associative rings and algebras (16-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Difference and functional equations (39-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Real functions (26-XX)
1 Special functions (33-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)
1 Mathematics education (97-XX)

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