论文标题
在一个圆圈中填充一致圆圈的广义表达
A generalized expression for filling congruent circles in a circle
论文作者
论文摘要
该论文报告了在（半径r）中填充（半径r）的一致圆的广义表达式。首先，开发了大圆（R）第n个部分中刻有最大圆圈（R）的广义表达。此外，随着n个这样的圆圈（r）相互接触和更大的圆（r），它被扩展到。为了填补更大的圆（R），将较大的圆半径视为R-2R，R-4R等，进一步重复了练习。在此过程中，推导了总数。可以用这种填充更大圆圈（R）的方式刻有这种圆圈（R）。该方法并不始终声称最接近包装，尽管它可能有助于实际目的。
The paper reports a generalized expression for filling the congruent circles (of radius r) in a circle (of radius R). First, a generalized expression for the biggest circle (r) inscribed in the nth part of the bigger circle (R) was developed. Further, it was extended as n such circles (r) touching each other and the bigger circle (R). To fill the bigger circle (R), the exercise was further repeated by considering the bigger circle radius as R-2r, R-4r and so on. In the process, a generalized expression was deduced for the total no. of such circles (r) which could be inscribed in this way of filling the bigger circle (R). The approach does not claim the closest packing always though it could be helpful for practical purposes.
