论文标题

在生成所有积分apollonian垫片的二芬太汀方程式上

On a Diophantine equation that generates all integral Apollonian Gaskets

论文作者

Kocik, Jerzy

论文摘要

已知一个非常简单的二磷二次方程式会产生所有Apollonian积分垫圈(磁盘包装)。此处基于反作用几何形状提出了此公式的新推导。还讨论了此类垫片中毕达哥拉斯的三倍。

A remarkably simple Diophantine quadratic equation is known to generate all Apollonian integral gaskets (disk packings). A new derivation of this formula is presented here based on inversive geometry. Also occurrences of Pythagorean triples in such gaskets is discussed.

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