Domain-filling circle packings

DOI10.1007/s13366-019-00479-2zbMath1444.52010OpenAlexW2991478226WikidataQ114687565 ScholiaQ114687565MaRDI QIDQ784755

David Krieg, Elias Wegert

Publication date: 3 August 2020

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://tubaf.qucosa.de/id/qucosa%3A32759

zbMATH Keywords

conformal mappingcircle packingSperner's lemmaconformal modulusprime enddiscrete conformal geometrycircle agglomerationtri-complextrilateral

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Planar graphs; geometric and topological aspects of graph theory (05C10) Circle packings and discrete conformal geometry (52C26) Cluster sets, prime ends, boundary behavior (30D40)

Uses Software

• CirclePack

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Circle packings as differentiable manifolds
• Conformal mappings onto domains with arbitrarily specified boundary shapes
• Existence and uniqueness of packings with specified combinatorics
• Square tilings with prescribed combinatorics
• Conformal uniformization and packings
• The inverse Riemann mapping theorem for relative circle domains
• Fixed points, Koebe uniformization and circle packings
• Incompressibility of domain-filling circle packings
• Incircles of trilaterals
• Modulus on graphs as a generalization of standard graph theoretic quantities
• On Beurling's boundary value problem in circle packing
• Squaring rectangles for dumbbells
• Rigidity of circle packings with crosscuts

This page was built for publication: Domain-filling circle packings