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
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.