mersenneforum.org  

Go Back   mersenneforum.org > Fun Stuff > Puzzles

Reply
 
Thread Tools
Old 2005-07-05, 01:00   #1
JuanTutors
 
JuanTutors's Avatar
 
Mar 2004

509 Posts
Default Classic puzzle

I THINK it's a classic:
Code:
*   *   *
*   *   *
*   *   *
Connect the 9 dots with 4 lines

Last fiddled with by JuanTutors on 2005-07-05 at 01:01
JuanTutors is offline   Reply With Quote
Old 2005-07-05, 01:03   #2
JuanTutors
 
JuanTutors's Avatar
 
Mar 2004

509 Posts
Default

Forgot: WITHOUT PICKING UP YOUR PEN
JuanTutors is offline   Reply With Quote
Old 2005-07-05, 01:23   #3
Wacky
 
Wacky's Avatar
 
Jun 2003
The Texas Hill Country

32·112 Posts
Default

Too easy. One line will do. Just make it curve around as needed to move from one row to the next.

Oh! You want us to use 4 connected straight line segments.
That's a little harder :)

I believe that the classical statement of the problem describes the 9 points as trees in an orchard.
Wacky is offline   Reply With Quote
Old 2005-07-05, 10:19   #4
mfgoode
Bronze Medalist
 
mfgoode's Avatar
 
Jan 2004
Mumbai,India

22×33×19 Posts
Thumbs up classic puzzle

They should be 4 straight lines to make it even harder.
Start with a diagonal and (say the right hand lower corner one) and go up this diagonal connecting to the top lefthand upper corner. Then draw the horizintal line connecting the 3 upper dots and move OUT of the square till its in line with the other three forming the straight line down to the left hand lower corner dot . What remains is the left side of 3 dots. Connect them and you have solved the problem. Try it any way but you must get OUT of the square. Most people restrict themselves only within the square .
Mally

Last fiddled with by Wacky on 2005-07-05 at 11:39 Reason: Spoiler-ized the posting
mfgoode is offline   Reply With Quote
Old 2005-07-06, 08:30   #5
ET_
Banned
 
ET_'s Avatar
 
"Luigi"
Aug 2002
Team Italia

17×283 Posts
Default

It is a puzzle psychiatrists (sp?) often use to show how lateral thinking and perspective vaalutation may improve your vision of yourself.

Luigi
ET_ is offline   Reply With Quote
Old 2005-07-06, 18:13   #6
mfgoode
Bronze Medalist
 
mfgoode's Avatar
 
Jan 2004
Mumbai,India

22·33·19 Posts
Thumbs up Classic puzzle

How right you are luigi and thanks for refreshing my mind on lateral thinking.
Dr. Edward de Bono is a pioneer in this field.
This is what he says about this particular problem in his book 'Lateral Thinking'
"The assumption is here that the straight lines must link up the dots and must not extend beyond the boundaries set by the outerline of dots. If one goes beyond the boundary the problem is easiy solved"
As you rightly say this problem can guage a person if he/she is an introvert or an extrovert. The ideal would be to strike an even balance of mind.
Mally
mfgoode is offline   Reply With Quote
Old 2005-07-29, 04:50   #7
hhh
 
hhh's Avatar
 
Jun 2005

37310 Posts
Default

Yeah, I knew this one already, so I cannot but post my standard reply: To make it a little harder, connect the nine above dots with
3 straight lines!!!
Enjoy, H.

Last fiddled with by hhh on 2005-07-29 at 04:51
hhh is offline   Reply With Quote
Old 2005-07-29, 10:56   #8
rogue
 
rogue's Avatar
 
"Mark"
Apr 2003
Between here and the

22·3·523 Posts
Default

Quote:
Originally Posted by hhh
Yeah, I knew this one already, so I cannot but post my standard reply: To make it a little harder, connect the nine above dots with
3 straight lines!!!
Enjoy, H.
Can you pick up your pen? Is this a Euclidean geometry problem?
rogue is offline   Reply With Quote
Old 2005-07-29, 11:19   #9
Wacky
 
Wacky's Avatar
 
Jun 2003
The Texas Hill Country

32·112 Posts
Default

Quote:
Originally Posted by rogue
Can you pick up your pen? Is this a Euclidean geometry problem?
Me thinks "hhh" is just a crank
Wacky is offline   Reply With Quote
Old 2005-07-29, 15:38   #10
rogue
 
rogue's Avatar
 
"Mark"
Apr 2003
Between here and the

188416 Posts
Default

Quote:
Originally Posted by Wacky
Me thinks "hhh" is just a crank
That might be true, but the question begs an answer. If you can pick up your pen, then the solution is obvious. If you cannot, then the solution depends upon whether or not you are using Euclidean geometry. AFAIK, in Euclidean geometry there is no solution, but that doesn't mean that there is no solution in non-Euclidean geometry. So if we expand the scope of the problem to hyperbolic geometry or spherical geometry, the answer could be (and probably is) different.
rogue is offline   Reply With Quote
Old 2005-07-29, 16:27   #11
akruppa
 
akruppa's Avatar
 
"Nancy"
Aug 2002
Alexandria

2,467 Posts
Default

Or hhh assumes that the dots have positive area.

Alex
akruppa is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Classic problem: Four 4's Ken_g6 Puzzles 105 2016-10-20 20:36
Suggestions for the "Classic Summary" page davieddy PrimeNet 26 2011-06-13 09:38
"Classic" (colourful) Status report davieddy PrimeNet 6 2009-10-04 08:33
Dot puzzle nibble4bits Puzzles 37 2006-02-27 09:35
Classic: Hats puzzle fetofs Puzzles 7 2005-10-16 11:45

All times are UTC. The time now is 22:55.

Sun Apr 11 22:55:14 UTC 2021 up 3 days, 17:36, 1 user, load averages: 1.89, 2.21, 2.50

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.