种树, Post Doc ranking

怀疑1 · 发表于 2005-4-7 20:44:07

No. 14 is only on one line. Well, I am not sure whether I can arrange to make 8, 12, and 4 be on one line. It might need some boring computation, though it looks possible.

I guess higher than 13 or 14 is not so interesting. And PostDoc is not really higher than PHD.

怀疑1 · 发表于 2005-4-7 21:50:42

These three points can not be on one line?

怀疑1 · 发表于 2005-4-7 21:59:57

Then my contruction is surely wrong.

Maybe you can specify the problem strictly and mathematically. Thanks.

Anyway, it is kind of comlpicated.

怀疑1 · 发表于 2005-4-8 07:12:23

I think you mean one must plant a tree at each intersection and any line should contain exactly four trees.

The picture I drew satisfies the second condition but not the first.

怀疑1 · 发表于 2005-4-8 07:42:05

There are no five trees on one row. Maybe my picture is bad, but no. 14 is on the same line as 4, 12, and 8. Trees 1, 4, and 14 are not on the same row.

As I said, I am not sure whether I can make 4, 12, and 6 be on the same row unless I do a careful computation, though it looks possible.

怀疑1 · 发表于 2005-4-8 07:51:01

based on my solution to the 13 -tree-on-9-row problem. Assuming that 8, 12, and 4 are on the same row, my solution should be correct. There are no five trees on any row.

怀疑1 · 发表于 2005-4-8 19:52:17

Obviously, 5, 9 13, and 8,12 are not colinear.

If 14 were with 5, 9, 13, 4, there is no point to put a new line.

Noet that except the line for 14, 4, 8, and 12, the picture is a solution for 13-9. No. 4 is the intersetion of three lines now.

怀疑1 · 发表于 2005-4-8 19:55:45

tree on a single line.

怀疑1 · 发表于 2005-4-8 21:07:35

It will always happen. Please see my new post.

		自动登录	找回密码
密码			立即注册

动态微博

种树, Post Doc ranking

回复：种树, Post Doc ranking（图）

These three points can not be on one line?

probably you want a tree at every intersection.

Honest， still not clear. But I can guess your poi

Really? Then please check again

I only added one line and one point [:%]

No. With 8, 12, and 4.

My solution for 14 trees is similar. There is an

It will always happen. Please see my new post.