| 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]
(In reply to
solution by Dej Mar)
Thanks for the solution Dej Mar! This one really had me going and I can finally get a decent nights sleep. I certainly didn't grasp the significance of brianjn's latest hint about the sum of the pi digits given (being 25), which yields your 25 number string of 33314444... for the 25 letter encryption. Hey, you can do this same thing with any string of numbers (duh!!).
You had me a bit confused though on how you necessarily selected advancing the cylinder 22 clicks before then rotating each wheel backward by these new numbers. Another way that works is simply to rotate each wheel in the initial encryption backward, again by 33314444..., then locking and rotating the whole cylinder from there. Your solution will appear in one of the other 25 encryptions that result; in this case, 22 clicks down!
Nice work, and thanks again Dej Mar!
re: solution
