Rigidity of Thin Disk Configurations.

Keywords

Rigidity (electromagnetism), Materials science, Composite material

References

• Über die gegenseitige Beziehung der Ränder bei der konformen Abbildung des Inneren einer Jordanschen Kurve auf einen KreisConstantin Carathéodory — 1913
• Introduction to Circle Packing: The Theory of Discrete Analytic FunctionsKenneth Stephenson — 2005
• THE UNIFORMATION THEOREM FOR CIRCLE PACKINGS靖 山下 — 1995
• Complex AnalysisJ. D. Buckholtz, T. J. Suffridge — 1977
• The Schwarz-Pick Lemma for circle packingsAlan F. Beardon, Kenneth Stephenson — 1991
• Über isoperimetrische Probleme bei konvexen Polyedern.Ernst Steinitz — 1927
• The convergence of circle packings to the Riemann mappingBurt Rodin, Dennis Sullivan — 1987
• A circle packing measurable Riemann mapping theoremGretchen M. Williams — 2006
• Euclidean Structures on Simplicial Surfaces and Hyperbolic VolumeIgor Rivin — 1994
• Coin graphs, Polyhedra, and conformal mappingH. Sachs — 1994
• A characterization of ideal polyhedra in hyperbolic 3-spaceIgor Rivin — 1996
• Hyperbolic and parabolic packingsZheng-Xu He, Oded Schramm — 1995
• Noncompact surfaces are packableG. Brock Williams — 2003
• Circle packings and co-compact extensions of Kleinian groupsRobert Brooks — 1986
• Representations of Planar GraphsGraham Brightwell, Edward R. Scheinerman — 1993
• A polynomial time circle packing algorithmBojan Mohar — 1993
• Solving Beltrami equations by circle packingZheng-Xu He — 1990
• Circle packings in different geometriesAlan F. Beardon, Kenneth Stephenson — 1991
• A characterization of compact convex polyhedra in hyperbolic 3-spaceCraig D. Hodgson, Igor Rivin — 1993
• ThesisK. Roberts, K. Roberts, R. Moots — 2002

Cited by

• Rigidity of thin disk configurations, via fixed-point indexAndrey M. Mishchenko — 2013
• Fixed-point index, the Incompatibility Theorem, and torus parametrizationAndrey M. Mishchenko — 2013
• Patterns Formed by CoinsAndrey M. Mishchenko — 2013

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