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ThePanacea
Joined: 29 Feb 2004
Posts: 1466
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Make this shape
Can any of you make the shape found at
http://www.angelfire.com/ak5/tightinn/shape.gif
without "lifting" your "pencil" and without retracing lines (you can cross over previous intersections)?
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Fri Apr 09, 2004 1:41 pm |
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Axolotl
Joined: 14 Sep 2000
Posts: 3772
Location: Vancouver BC |
I actually used to try this in class sometimes. I'll leave it at that.
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Fri Apr 09, 2004 1:50 pm |
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ThePanacea
Joined: 29 Feb 2004
Posts: 1466
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Can it definitely be done? We were trying to figure it out in class after someone brought it up ..
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Fri Apr 09, 2004 2:29 pm |
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Zeno
Joined: 18 Jul 2002
Posts: 285
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Re: Make this shape
quote:
Originally posted by ThePanacea
Can any of you make the shape found at
http://www.angelfire.com/ak5/tightinn/shape.gif
without "lifting" your "pencil" and without retracing lines (you can cross over previous intersections)?
My guess is that it is impossible looking at it from a logical standpoint. In this instance, you have four points with an odd number of lines coming from it (only including the vertices). To complete the drawing with only two point with an odd number of lines, you need to start on it, and using the lines:
1) go from it
2) go to it
3) go from it
4) go to it
5) go from it
so you are no longer on that point and are free to move to the rest of the points with no problems. To see what I mean, take away three of the triangle leaving you with the box, lines inside the box, and one triangle. This is easy to do because it only has two points with an odd number of lines.
I doubt that was very clear, but just think of it like this: You need two or zero points with an odd number of lines protruding to complete this puzzle.
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Fri Apr 09, 2004 3:52 pm |
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DjinnKahn
Joined: 12 May 2001
Posts: 579
Location: Okemos, MI |
look up Euler Path :P
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Fri Apr 09, 2004 5:20 pm |
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Bryter-
Joined: 03 Jul 2002
Posts: 347
Location: Directly above the center of the Earth |
quote:
Originally posted by Kith-Kanin
I did it first try actually.
Try this one then 
http://www.plunk.org/~hatch/MagicCube4dApplet/
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Fri Apr 09, 2004 5:28 pm |
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'Mage
Joined: 28 Feb 2001
Posts: 322
Location: canada |
its not possible as djinn said.. its called an eulerian walk if you happen to look that one up you could also look up hamiltonian walks, those are also interesting
_________________
~Mage
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Fri Apr 09, 2004 6:07 pm |
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Zeno
Joined: 18 Jul 2002
Posts: 285
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Oh, so I was right. ^_^
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Fri Apr 09, 2004 6:11 pm |
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Warcraft Occult Forum Index
-> Moderated General Discussion
You have to do triangles.
