论文标题
单线Apollonian垫片：极限是空间填充分形曲线吗？
Single line Apollonian gaskets: is the limit a space filling fractal curve?
论文作者
论文摘要
在本手稿中，我们根据阿波罗尼亚垫圈研究单线近似值和分形。众所周知的阿波罗尼亚垫圈是接吻圆圈配置的极限情况。我们没有将圆圈绘制为颜色不同的背景（传统表示），而是将所有圆圈绘制为一条线，而无需抬起笔，而不会越过自己。此外，配置是嵌套的。在本手稿中，我们探讨了线图的极限是否会导致空间填充分形曲线。
In this manuscript we study single-line approximations and fractals based on the Apollonian gasket. The well-known Apollonian gasket is the limit case of configurations of kissing circles. Rather than plotting the circles as discs on a differently colored background (the traditional representation), we draw all circles as one line without lifting the pen and without crossing itself. Moreover, the configurations are nested. In this manuscript we explore whether the limit of the line drawings gives rise to a space filling fractal curve.
