Our original aim in this work was to establish certain results about circle packings which were suggested by classical complex function theory. We succeeded in doing that, but along the way we found that we could in fact extend the classical results themselves, independently establishing a theorem of Z. Nehari. A circle packing is a collection of circles in the plane with a prescribed pattern of tangencies satisfying certain combiriatoric conditions, which will be described in a moment. Connections between circle packings and analytic functions were introduced by W. Thurston in 1985.
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机译：我们在这项工作中的最初目的是要建立关于圆堆积的某些结果，这是由经典复函数理论提出的。我们成功地做到了这一点，但是一路走来，我们发现实际上可以扩展经典结果本身，独立地建立Z. Nehari定理。圆堆积是平面中具有满足某些组合条件的预定切线图案的圆的集合，将在稍后描述。 W. Thurston于1985年引入了圆盘根与分析函数之间的联系。
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