24小时热门版块排行榜    

查看: 205  |  回复: 0
当前主题已经存档。
【有奖交流】积极回复本帖子,参与交流,就有机会分得作者 alakeseafish 的 20 个金币

alakeseafish

银虫 (正式写手)

[交流] 【求助】散金币请教两道很有趣的数学问题。

请教大家一个数学问题.
1、How many (untouched) balls with radius 0.5 can be packed into a ball with radius 1.5?
也就是问:一个半径为1.5的球体里面最多能放几个半径为0.5的小球体? 小球体彼此不能触摸..但是小球体可以与大球体内壁触摸.
我不清楚是否有人已经解决了这个问题..答案是多少呢?谢谢
2、How many independent points can be contained
by two balls with radius 1 and center distance < 1?  
问题也就是说,这两个相交的球体里面,最多能放几个彼此距离大于1的点的数目?
请大家告诉答案已经证明过程,或者参考文献。谢谢

[ Last edited by laizuliang on 2008-6-27 at 20:04 ]
回复此楼
已阅   回复此楼   关注TA 给TA发消息 送TA红花 TA的回帖
相关版块跳转 我要订阅楼主 alakeseafish 的主题更新
普通表情 龙 兔 虎 猫 高级回复 (可上传附件)
最具人气热帖推荐 [查看全部] 作者 回/看 最后发表
[考博] 售SCI一区T0P文章,我:8O.55.1.O.5.4,科目齐全,可+急 +3 czAiolzR0IJC 2026-11-10 5/250 2026-11-12 02:20 by 9fOTqj074tIg
[基金申请] 售SCI文章,我:8O5.5.1.O.54,科目齐全,可+急 +4 czAiolzR0IJC 2026-11-10 7/350 2026-11-12 02:14 by 9fOTqj074tIg
[公派出国] 售SCI一区T0P文章,我:8O.55.1.O.5.4,科目齐全,可+急 +3 czAiolzR0IJC 2026-11-10 4/200 2026-11-12 02:12 by 9fOTqj074tIg
[考研] 售SCI一区T0P文章,我:8O.55.1.O.5.4,科目齐全,可+急 +6 czAiolzR0IJC 2026-11-10 7/350 2026-11-12 02:03 by 9fOTqj074tIg
[硕博家园] 售SCI文章,我:8O.5.5.1O.54,科目全,可十急 +3 czAiolzR0IJC 2026-11-10 6/300 2026-11-12 02:01 by 9fOTqj074tIg
[基金申请] 售SCI一区文章,我:8.O.551.O.5.4,科目全,可伽急 +4 G2rhSvqvhNzl 2026-11-10 5/250 2026-11-12 01:52 by 9fOTqj074tIg
[硕博家园] 售SCI文章,我:8O5.5.1.O.54,科目齐全,可+急 +3 G2rhSvqvhNzl 2026-11-10 4/200 2026-11-12 01:50 by 9fOTqj074tIg
[考研] 售SCI一区文章,我:8O5.5.1.O5.4,科目全,可伽急 +3 G2rhSvqvhNzl 2026-11-10 5/250 2026-11-12 01:50 by 9fOTqj074tIg
[教师之家] 售SCI-T0P文章,我:8O.5.5.1.O.54,科目齐全,可+急 +4 C6CRn66RYYXS 2026-11-10 4/200 2026-11-12 01:28 by 9fOTqj074tIg
[公派出国] 售SCI-T0P文章,我:8O.5.5.1.O.54,科目齐全,可+急 +4 YHiw1gou1Eda 2026-11-10 4/200 2026-11-12 01:17 by 9fOTqj074tIg
[教师之家] 售SCI一区T0P文章,我:8O.55.1.O.54,科目全,可伽急 +4 FChKX8meu1ds 2026-11-09 6/300 2026-11-12 00:55 by 9fOTqj074tIg
[考研] 售SCI一区文章,我:8O5.5.1.O5.4,科目全,可伽急 +7 cqv1zKnzd7hr 2026-11-09 10/500 2026-11-12 00:41 by 9fOTqj074tIg
[硕博家园] 售SCI文章,我:8O.5.5.1O.54,科目全,可十急 +6 0TEMgxdT1eIw 2026-11-09 8/400 2026-11-12 00:33 by 9fOTqj074tIg
[基金申请] 售SCI一区T0P文章,我:8.O.55.1.O.54,科目齐全,可+急 +5 zSbvVX9JFl9J 2026-11-09 7/350 2026-11-12 00:30 by 9fOTqj074tIg
[教师之家] 售SCI一区文章,我:8O5.5.1.O5.4,科目全,可伽急 +3 czAiolzR0IJC 2026-11-10 3/150 2026-11-11 18:26 by TgvkbZZl9tqB
[硕博家园] 售SCI-T0P文章,我:8O.5.5.1.O.54,科目齐全,可+急 +4 G2rhSvqvhNzl 2026-11-10 5/250 2026-11-11 17:58 by TgvkbZZl9tqB
[考研] 售SCI一区T0P文章,我:8.O.55.1.O54,科目全,可伽急 +4 FChKX8meu1ds 2026-11-09 6/300 2026-11-11 17:09 by TgvkbZZl9tqB
[硕博家园] 售SCI-T0P文章,我:8O.5.5.1.O.54,科目齐全,可+急 +4 zSbvVX9JFl9J 2026-11-09 7/350 2026-11-11 16:41 by TgvkbZZl9tqB
[文学芳草园] 厉娜 +3 张丹枫1991 2026-11-09 5/250 2026-11-09 16:53 by 张丹枫1991
[考研] 售SCI文章,我:8O.5.5.1O.54,科目全,可十急 +6 5sJFDKp2kwuI 2026-11-06 14/700 2026-11-09 11:52 by GwrQVVR6Oenx
信息提示
请填处理意见