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Home > Shapes > Geometry
Linked Rings (Posted on 2004-05-29) Difficulty: 2 of 5
Three rings (planar circles) are "linked" together, but you'll notice that none is directly linked with another.
  • The red ring is "behind" the yellow.
  • The yellow ring is "behind" the blue.
  • The blue ring is "behind" the red.
Still, while none is intertwined with another, it is impossible to pull them apart.
_____________________

Is this a paradox?

Can this really be built?

No Solution Yet Submitted by SilverKnight    
Rating: 3.6000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: String theory | Comment 4 of 19 |
(In reply to String theory by Larry)

Larry,
I think you've got it there.  If the rings are flat and unbendable then this is impossible as it breaks the rule of transitivity (X<Y, Y<Z therefore X<Z).  However if the rings are flexible, then certain parts of X may still be greater than Z. 

So I guess my version is...  yes it could be made (if the rings are alowed to bend) and if it was, then you would not be able to pull it apart.

But what I liked best about this problem was the fact that it had a picture and lots of bright colours!


  Posted by Popstar Dave on 2004-05-29 13:15:26
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