Circle packings and polyhedral surfaces

DOI10.1007/BF02293057zbMath0765.52014MaRDI QIDQ1196204

Brett T. Garrett

Publication date: 17 December 1992

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131229

zbMATH Keywords

hyperboliceuclideanpolyhedral surfacetriangulated surface

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Polyhedral manifolds (52B70)

Related Items (7)

Approximation of analytic functions with prescribed boundary conditions by circle-packing maps ⋮ Hyperbolic and parabolic packings ⋮ The upper Perron method for labelled complexes with applications to circle packings ⋮ Duality structures and discrete conformal variations of piecewise constant curvature surfaces ⋮ Circle patterns on singular surfaces ⋮ Branched Circle Packings and Discrete Blaschke Products ⋮ Variational principles for circle patterns and Koebe’s theorem

Cites Work

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• The convergence of circle packings to the Riemann mapping
• Circle packings and co-compact extensions of Kleinian groups
• On the deformation theory of classical Schottky groups
• An estimate for hexagonal circle packings
• The Schwarz-Pick lemma for circle packings
• Existence and uniqueness of packings with specified combinatorics
• Circle packing and Riemann surfaces
• Circle packings in the approximation of conformal mappings
• Rigidity of Infinite (Circle) Packings
• The Hexagonal Packing Lemma and Discrete Potential Theory
• An Inverse Problem for Circle Packing and Conformal Mapping
• On the rodin and sullivan ring lemma
• ON CONVEX POLYHEDRA IN LOBAČEVSKIĬ SPACES

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