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Filthy Rich Mystery Cache

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Mr.Charlie: Injuries have prevented me from getting out to replace the missing stage. Opening up the location for new caches.

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Hidden : 12/8/2011
Difficulty:
3.5 out of 5
Terrain:
3 out of 5

Size: Size:   regular (regular)

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Geocache Description:

The cache is not at the posted coordinates. The coordinates mark the location of the door to Richard Playfair's cabin. You will use this knowledge and the information below to find the location you seek.

Richard Playfair was a recluse. He stayed in his small cabin near the river and kept to himself. The locals all knew him as "Filthy Rich" and he was the source of much speculation. Nobody was quite sure if he gained the nickname due to his reputed great wealth or the fact that he rarely bathed. Nobody really wanted to get close enough to ask. It hardly mattered since he almost never came out. It was rumored that he had a stash of gold and jewels hidden on his property but nobody knew where.

When Filthy Rich finally died the neighbors all tore apart his cabin looking for his treasure. None was found. Apart from a few meager belongings the only thing the man seemed to have owned was a collection of books. The books were donated to the local library and the rest of the items and the cabin were burned. The village condemned the property and put it to good use by building a waste treatment plant on the land. They say it was built to cover up the lingering odor left behind by Filthy Rich but when the wind is blowing just right you can still smell him.

No clues to his treasure were found and the story faded away with the stench. But recently some strange writings were discovered in some of the books that landed in the library. It is believed that they may be related to finding the lost treasure of Filthy Rich. There were directions to decipher a message and a message to decipher but so far nobody has been able to solve the puzzle. It is suspected that a keyword is needed and that the keyword is in another book.

The directions to solve the message are a bit complex, but can be followed with careful attention.

The cipher uses a five by five letter grid with the arrangement of the letters determined by a variable keyword. The keyword is entered from left to right starting at the top of the grid. All unused letters are entered alphabetically after the keyword. The letters I and J are interchangeable and share a space in the grid. For example, if we use the keyword "sample" the grid would look like this.
S A M P L
E B C D F
G H I K N
O Q R T U
V W X Y Z


To encipher a message the text is divided into groups of two letters. Spaces and punctuation are ignored. If we are sending the message "LOOK HERE" we would divide the letters into LO OK HE RE for enciphering. If double letters occur in a group they are separated by an X. The message "HOLLOW LOG" would appear as HO LX LO WL OG. If a message is an odd number of letters an X will be added on to the end. The word "HOLLOW" by itself would become HO LX LO WX.

Once the message has been broken down into letter groups it is ready to be enciphered using three simple rules along with the letter matrix established by the keyword. The letters in each pair have one of three possible relationships with each other in the matrix; they can be in the same row, the same column, or neither in the same row nor same column.

If the letters in a pair are in the same row, the letter to the right of the letter being enciphered becomes the replacement for that letter. Using the example matrix above the letter pair AM would become MP. A is shifted one letter to the right to become M and the M is shifted right to be enciphered as P. The rows are cyclical and wrap around to the beginning of the same row so the letter N would be enciphered as G.

If the two letters in a pair are in the same column, the letter below will replace the letter being enciphered. So using our example above, DT would become KY. The D is shifted one letter down to become K because the D and T are in the same column in our matrix. The letter T is shifted to become Y. As with the rows, the columns are cyclical and wrap to the top of the column as needed. NZ would encoded as UL.

If the letter pairs are in neither the same column nor the same row then each is replaced by the letter at the intersection of its own row and the other letter's column. For example, the letter pair AT becomes PQ. A and T are in separate rows and columns. Move across the row containing A until the column containing T is reached. The letter in that space is P. The letter in the same row as T and same column as A is Q.

Using these rules we can encipher the message TEST MESSAGE with the keyword set as SAMPLE as above.

First the message would be broken down into groups of two letters as TE ST ME SX SA GE. Using the rules above the message would be enciphered as OD PO SC MV AM OG.

To decipher the message it is necessary to know the keyword used in the matrix. Then the rules can simply be reversed to spell out the original text. If the letters are in the same row they will be shifted one letter left to reveal the original message. If the letters are in the same column the cipher text letters shift one space up. If the letters in the pair are in neither the same row nor column then they would be replaced by the letter in the same row as themselves but the same column as the other letter in the pairing.

The message found in one of Mr. Playfair's books is as follows:

KA HP HA AD NE KN CW PE NE KP
ON KF KP BZ PO KN QY PY RN CW
PE WL DA GN EP KF KP NR MU IC
GO OA CF GD NK AE MR OK FO
BO RO DF EQ DA GS YS FW PE
PO LF ZX AD HB GK BC MR ZY

In another book the word HOARDINGS was circled. It is believed to be a keyword used in the cipher, but so far it hasn't been solved. Perhaps someday the mystery will be unraveled and the lost treasure of "Filthy Rich" Playfair will be discovered. If, that is, it ever existed.

You would be wise to bring paper and a pencil with you if you seek the treasure. Filthy Rich would not have given up his secret easily and there may be more than one layer of encryption involved. Please feel free to take a piece of treasure with you if you find it, but don't plunder the entire loot.

Additional Hints (No hints available.)