Irrational

Dear Cachers,

the above mentioned coordinates are without any use. This is a puzzle cache with a little bit of math. To solve the puzzle you need a topographic map of the area, e. g. the map TK 25 Blatt 4907 and 5007 and a math book (maybe of higher quality) or the internet. The tour starts in the north of cologne close to the Fühlinger See. You should come by car, or, better, by bicycle. If you park your car at the Fühlinger See, you will need about 3.5 km until the final and the same distance back.

Let's look at the puzzle.

At first you have to find a special mathematical factor (see below), lets say F to it. F is greater than 0 (null) and smaller than 1 and you need to get it up the fourth decimal digit (cut off the rest, do not round).

Now take 60’ angle minutes and multipy them with F:

60’ x F = AB.CDE’

And then take the completely not relevant coordinates N 50° 22.385’, E 7° 32.379’ and add to the geographic width AB.CDE. At last subtract AB.CDE from the geographic length. Now you have the coordinates of the cache! Easy, isn't it? Please take care of the angle degrees, thay may change during the addition/subtraction of minutes.

So, what about F? Go to N 51° 01.151’ E 6° 55.297’. There you will find a micro. This micro leads you to the next station. After collecting all stations you have to mark these points in your topographical map. To indicate that you have found all micros the last micro is empty! The pattern (o.k. a very simple pattern) on your map should give you all information you need to look up the correct page in your math book to finf F. All micros are small copper plates with imprinted numbers. They are located (freely visible) on trees in a hight of about 120 cm. They are fixed on the tree with stailess steel Torx screws.

2011-02-11: Important change!
The final box is locked by a combination lock. To open the lock you need the 6th, 7th and 8th decimal digit of the factor.

As a special joke I have created the travel bug The mysterious Bronstein. This TB is the solution of the puzzle! Everybody who nows this TB is able to find F without looking after the micros. O.K., for the first finder this is no help!

As a difficulty I have to mention that the location is full of muggles with dogs and it is very close to private properties, please be as careful as possible.

Greetings

Rheinflut1995