The multiple rollers of a coding machine are each embossed with the 26 letters and wrapped in order similar to an odometer.

Z A Y A B Z B C A

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.

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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]

Rotating the wheels of the cylinder initially showing "PAZYPMEPTUNYRXEWHFGNJRQMK" forward 22 clicks, then individually rotating each wheel back a number equal to a digit of pi will result in the following message (spaces and punctuation added):

"IT'S THE WHOLE PI OR JUST A WEDGE."

The 25 digits are queued as the number of digits of the digit of pi being represented. i.e., 3.141592 represents three 3s, one 1, four 4s, one 1, five 5s, nine 9s, and two 2s: 3331444415555599999999922.
 

Posted by Dej Mar on 2008-10-22 07:22:33