All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes
In and Out The Box (Posted on 2005-04-06) Difficulty: 2 of 5

The goal is to trace a line with your pencil across each edge on the box only once without crossing the vertices or picking your pencil up.

Note that this "box" contains 16 unique "edges".

Prove why this is an impossible task regardless of where you first place your pencil.

See The Solution Submitted by Michael Cottle    
Rating: 3.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(3): Solution | Comment 7 of 10 |
(In reply to re(2): Solution by Michael Cottle)

Michael, what I'm trying to say and certainly I am being misunderstood (excuse if this is not correct in english), is the following : if you "quote" the results of Euler in his study involving networks, results obtained trough a extensive proof, and apply these results to a particular network, you are not proving. 

One thing is "prove that it is impossible", other is "show that it is impossible".

It seems only a matter of semantics, but they are quite different.

And I apologyze to Eric if I didn't make myself clear.


  Posted by pcbouhid on 2005-04-06 23:47:58
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information