论文标题

Apollonian的深度,纺纱器和超级黑色的镶嵌

Apollonian depth, spinors, and the super-Dedekind tessellation

论文作者

Kocik, Jerzy

论文摘要

显示三轮车的配置空间(接触中的磁盘的三元)与复杂平面相吻合,该平面是从切线和保利纺纱器构造的射影空间。值得注意的是,深度功能的分形假定了一种特别简单而优雅的形式。此外,由于某个对称组引起的因子空间提供了阿波罗尼亚磁盘包装的参数化。

The configuration space of tricycles (triples of disks in contact) is shown to coincide with the complex plane resulting as a projective space costructed from the tangency and Pauli spinors. Remarkably, the fractal of the depth functions assumes a particularly simple and elegant form. Moreover, the factor space due to a certain symmetry group provides a parametrization of the Apollonian disk packings.

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