论文标题

阿波隆的深度和意外分形

Apollonian depth and the accidental fractal

论文作者

Kocik, Jerzy

论文摘要

引入了代表三个相互切线圆圈的曲率的三个数字的深度函数。它的2D图导致了相互切线圆圈/磁盘三元组的模量空间的分区,这是一个美丽的分形,其一般形式类似于Apollonian磁盘包装的分形,除了它由椭圆形组成,而不是圆圈。

The depth function of three numbers representing curvatures of three mutually tangent circles is introduced. Its 2D plot leads to a partition of the moduli space of the triples of mutually tangent circles/disks that is unexpectedly a beautiful fractal, the general form of which resembles that of an Apollonian disk packing, except that it consists of ellipses instead of circles.

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