Ask help for a simple question - 未名空间MITBBS历史存档

国际科技财经博客移民网络热点娱乐民生时事公众号

Redian新闻

>未名空间

>Computation - 科学计算

Ask help for a simple question

Ask help for a simple question# Computation - 科学计算

a*a2004-12-13 08:12

1 楼

a circular plate has diameter x, and many small balls has diameter y, x>y,
what is the maxmum number of balls can be placed on the circular plate?

a*a2004-12-13 08:12

2 楼

I just need a solution to solve a practical problem currently. Thanks for any
idea or suggestion or even any thought.

【在 a****a 的大作中提到】

: a circular plate has diameter x, and many small balls has diameter y, x>y,
: what is the maxmum number of balls can be placed on the circular plate?

k*g2004-12-13 08:12

3 楼

Your problem is related to 2-Dimensional packing.
For the 3-Dimensional ball packing, as I know, the minimum packing ratio is
52.36%, the maximum packing ratio is 74.06%, and the random close packing
ratio is about 63%. The 2-D cases also have been well developed, but
unfortunately,I do not remember the exact numbers now. You can try google or
some powder technology handbook.

a*r2004-12-13 08:12

4 楼

just search 'sphere packing' on isi or your library
many problems in 2-d packing are well understood already.
BTW, Salvador Torquto pointed out that rcp is ill-defined