perplexus.info :: Shapes : More Trees

More Trees (Posted on 2003-10-30)

After figuring how to plant your 10 trees in 5 rows, the tree keeper walks up to you.

I like your idea, but sometimes I get vicious squirrels that come and steal all the fruit off it...

I am installing some garden path such that it is harmless to humans but will shock squirrels. (This means the squirrels won't pass over it.) Can you place those 10 trees along 5 lines of straight garden path so that there are 4 trees on each garden path and there are some trees on the inside?

How would you arrange the trees this time?

Submitted by Gamer

Rating: 3.5000 (6 votes)

Solution: (Hide)

One solution is to have it look just like a star, but take the horizontal 4 in a row below the point where two lines cross, rather than above it. If you have the points as follows, you will find 2 trees on the inside.

A: -12, -7
B: -5,0
C: -4,1
D: -2, 0
E: 0,-1
F: 0,5
G: 2,0
H: 4,1
I: 5,0
J: 12,-7

Line 1 contains A B C F
Line 2 contains A E G H
Line 3 contains B D G I
Line 4 contains C D E H
Line 5 contains F H I J

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Alternate Solution	Ed	2007-04-08 04:13:26
Alternate Solution	Eli	2005-05-16 01:49:06
Notes about squirrels	Rawlyn	2004-02-04 19:04:26
re: Solution notes: (in reply to Gamer)	Victor Zapana	2003-10-31 19:37:42
Solution with 2 in the middle.	Gamer	2003-10-31 15:48:56
re: Full Solution - Another solution	Brian Smith	2003-10-31 13:02:02
Solution notes:	Gamer	2003-10-31 12:43:10
re(3): Full Solution	Victor Zapana	2003-10-31 10:21:52
re(2): Full Solution	SilverKnight	2003-10-31 00:06:57
re: Full Solution	rerun141	2003-10-30 23:49:10
Full Solution	SilverKnight	2003-10-30 23:13:26
re(2): It seems to me.. i have a solution	Victor Zapana	2003-10-30 20:34:23
re: It seems to me.. i have a solution	rerun141	2003-10-30 20:27:49
It seems to me.. i have a solution	Victor Zapana	2003-10-30 20:07:28
ok. so...	rerun141	2003-10-30 19:46:39
re: It seems to me	Gamer	2003-10-30 19:24:57
It seems to me	rerun141	2003-10-30 19:19:24
After thought	nikki	2003-10-30 18:57:49
re: Not so simple	nikki	2003-10-30 18:50:27
oops	rerun141	2003-10-30 18:13:07
AND some on the inside	rerun141	2003-10-30 18:10:51
Also:	Gamer	2003-10-30 18:08:09
Not so simple	Gamer	2003-10-30 18:06:20
Solution	Jason	2003-10-30 17:55:38
re(2): Maybe I'm missing something...	SilverKnight	2003-10-30 16:17:56
re: Maybe I'm missing something...	Gamer	2003-10-30 16:15:39
Maybe I'm missing something...	nikki	2003-10-30 16:02:08

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