Solitude-Cache Stuttgart Mystery Cache
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Difficulty:
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Terrain:
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Size: 
(regular)
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Hunt Travel Bugs to get the coordinates for this cache in the woods around Palace Solitude in Stuttgart.
The coordinates given above are a good starting point for the cache hunt, but there are only a suggestion. There are several parking lots around. Enjoy the great view!
This cache needs preparation!
Original cache contents: 3 Books (The Illuminatus Trilogy, Neuromancer, Ground Zero), Logic Card game, 2 Play Doh pots, small electric tube, computer chip (ASIC), 10 EUR for the first finder
The final cache position is in the surroundings of the starting point. The exact position can be calculated using the information on a special set of eight travel bugs (seach for "SCS" in the travel bug list). You need to find at least three (sometimes four) SCS travel bugs in order to get the final coordinates for this cache.
The cache itself would have a difficulty of 2, but as you will have to find the travel bugs in advance, I rated it with difficulty 4.
Instructions:
There are 8 travel bugs, each with a unique name (e.g. Traugott, the travelling Trollinger [SCS-g]). Each travel bug carries a part of the coordinates (a number). The string in squared brackets gives the position in a magic square, where this number has to be filled in. See the attached picture "Instructions" for details (or read the following text if you have a text only browser).
1) The magic square looks like this:
a b c
d e f
g h i=191
You will get the values for a..h from the travel bugs (i is already given: i=191). Additionally, the following six equations hold:
a+b=c | a+d=g
d+e=f | b+e=h
g+h=i | c+f=i
(First two lines and columns add up to third line and column, respecively)
Because of this, you may complete a partially filled square (you need only 3 or 4 travel bugs to fill the square completely).
Example: If you have found the following travel bugs, you should be able to complete the square:
SCS-a, SCS-g and SCS-f (and i=191)
2) The position of the final cache is hidden in the variables a, b, d and e. All these are two digit numbers. Lets call the first digit of a a1, the second digit a2, the same notation holds for b, d and e, respectively.
The final coordinates are:
N 48°4[a1].[b1][a2][b2]'
E 009°0[d1].[e1][d2][e2]'
Example (These are not the real cache coordinates, you will find nothing at this place):
a = 12
b = 34
d = 56
e = 78
N 48°41.324'
E 009°05.768'
Happy hunting & have fun...
Additional Hints
(Decrypt)
Ybbx ng gur fvqr bs n fghzc.