perplexus.info :: Shapes : Perplexing folds

Perplexing folds (Posted on 2007-01-10)

The yellow square below can be folded into a single square in many ways. For example, it is relatively easy to fold it so that the sequence of squares from front to back is 123654789. However, it can quickly get very complicated if you start tucking in squares in little holes, getting sequences like 231469785.

1	2	3		X
4	5	6	P	S
7	8	9	U

It is possible to fold the blue square above so that the letters on the squares from front to back spell PERPLEXUS, provided that you fill the unlabeled squares with the rest of the letters. How should you fill in the unlabeled squares?

Submitted by Tristan

Rating: 4.0000 (2 votes)

Solution: (Hide)

_______ |L|E|X| |P|R|S| |U|E|P|

If you were to replace the numbers with the letters 1 through 9, the sequence would be 985412376. This is a unique solution.

Here's one way of folding it:
1. Fold LEX back.
2. Fold SP back.
3. Fold UE towards you.
4. You should have two squares, the one on the right in the sequence PEREXS (985236), and the one on the left in the sequence UPL (741). Tuck PL inbetween R and E (5 and 2) while simultaneously tucking U inbetween X and S. While this is a very difficult fold to actually make, you should at least be able to see that it is possible.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): One possible solution?	Joel	2007-01-12 10:45:27
re: One possible solution?	Charlie	2007-01-11 09:27:10
One possible solution?	Joel	2007-01-11 05:22:42
Great puzzle	maryl	2007-01-10 20:01:41

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