Abstract
Abstract Circle packings – configurations of circles with specified patterns of tangency – came to prominence with analysts in 1985 when Thurston conjectured that maps between such configurations would approximate conformal maps. The proof by Rodin and Sullivan launched a topic which has grown steadily as ever more connections with analytic functions and conformal structures have emerged. Indeed, the core ideas have matured to the point that one can fairly claim that circle packing provides a discrete analytic function theory .
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