The circle pattern uniformization problem

DOI10.4067/S0716-09172017000300397MaRDI QIDQ4691294

Armando Rodado Amaris, Gina Lusares

Publication date: 23 October 2018

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

zbMATH Keywords

uniformization problemRiemann surfaces of genus twocircle pattern uniformization problem

Mathematics Subject Classification ID

Numerical analysis (65-XX) Algebraic geometry (14-XX) Manifolds and cell complexes (57-XX)

Uses Software

• AMPL
• Convex

Cites Work

• A flexible theoretical representation for the temporal dynamics of structured populations as paths on polytope complexes
• The convergence of circle packings to the Riemann mapping
• Natural triangulations associated to a surface
• A characterization of compact convex polyhedra in hyperbolic 3-space
• Combinatorial optimization in geometry
• Weierstrass points and \(\mathbb{Z}_ 2\) homology
• On the stability of identification patterns for Dirichlet regions
• Hyperbolic geometry: The first 150 years
• New parameters for Fuchsian groups of genus $2$
• WEIERSTRASS POINTS AND SIMPLE GEODESICS
• SURFACES OF GENUS 2: GENERIC FUNDAMENTAL POLYGONS
• Parametrised databases of surfaces based on Teichmüller theory
• Geometry and spectra of compact Riemann surfaces
• A picture of moduli space
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