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| Pieces of Pi (Posted on 2008-08-30) |
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| The multiple rollers of a coding machine are each embossed with the 26 letters and wrapped in order similar to an odometer.
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With the rollers displaying the message:
"FOUR IS A SQUARE",
each roller position is advanced by the value of successive digits of the irrational √2 to yield:
"GSVV KT D XWWDYH".
If the rollers are locked as one cylinder and rotated through the display window one may view 25 other encryptions.
Using a related but not identical process, and just the values of Π (= 3.141592), the following is the encrypted result:
"PAZYPMEPTUNYRXEWHFGNJRQMK".
Determine the original phrase.
Notes:
1. Spaces do not exist on the machine and are provided here (above example)for readability.
2. If it helps, each vowel occurs at least once.
3. [√2 = 1.41421356237]
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Submitted by brianjn
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Rating: 4.0000 (1 votes)
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Solution:
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(Hide)
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The original read:
"ITS THE WHOLE PI OR JUST A WEDGE".
This was originally encrypted to read:
"LWVULIALPQJUNTASDBCJFNMIG".
With those positions locked together all were advanced 4 more to yield:
"PAZYPMEPTUNYRXEWHFGNJRQMK"
As to the values of Pi, each was used in succession in the manner described in the problem but for the number of times of that value before passing to the next value. The encryption therefore advanced each roller in succession by 3,3,3,1,4,4,4,4,1,5,5,5,5,5,9,9,9,9,9,9,9,9,9,2 and 2.
In essence then each letter position of the encryption needs to be decremented by 7,7,7,5,8,8,8,8,5,9,9,9,9,9,13,13,13,13,13,13,13,13,13,6 and 6 places respectively. |
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