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Hamilton Maze Puzzle #893 by Thijs
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Johan


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Joined: 22/12/2006 20:08:51
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Number: Puzzle #893
Genre: Hamilton Maze
Author: Thijs
Appeared at: June 27, 2008
Johan


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Joined: 22/12/2006 20:08:51
Messages: 1046
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Very nice Sierpinski-puzzle. If I'm not mistaken this puzzle will remain to have a unique solution after any number of iterations, right?

It also reminds me of these Sierpinski earrings.
Thijs


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Joined: 13/06/2007 20:10:17
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Yes, I decided there weren't enough fractal puzzles here at puzzlepicnic.com, so I made one.

You can think of the puzzle as being created in the following way. Start with just three nodes arranged in a triangle. There's exactly one way to form a Hamilton cycle through this simple maze. Now replace each node by a new triangle. For each of these triangles, you know from which other triangle the Hamilton cycle must come in, and to which other triangle it must go next. Again, there's only one way to meet those requirements. If you now replace each node by a triangle one more time, you end up with the maze I made, but of course, you can repeat it as often as you like!
 
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