Dynamics on Discrete Structures: A Dialog between Squares and Circles

Year: 2005 Authors: Tiziana Giorgi; Robert Smits

Core claim

Circle packing preserves the combinatorics of a hyperbolic tiling while enabling a dynamic visualization of boundary-driven stochastic evolution.

Topics

circle packing, hyperbolic tiling, Schramm-Loewner Evolutions, discrete dynamics

Domains

complex analysis, graph theory, hyperbolic geometry, stochastic processes, mathematical visualization, information design, digital geometry

Methods

discretization, circle packing construction, graph isomorphism, random boundary deletion

Media

Maple, rectangular tiling, circle packing diagram

Source status

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