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Circle Packing: Experiments In Discrete Analytic Function Theory

Circle Packing: Experiments In Discrete Analytic Function Theory

Circle packings are configurations of circles with specified patterns of tangency, and lend themselves naturally to computer experimentation and visualization. Maps between them display, with surprising faithfulness, many of the geometric properties associated with classical analytic functions. This paper introduces the fundamentals of an emerging “discrete analytic function theory” and …