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Crop Circles Mystery Cache

This cache has been archived.

geowyz: All things must pass. The cache is gone but I have left a brass token with a confirmation code stamped on it on top of a fence post. You will never get credit for a find here but if you send me the code you will get a good old-fashioned "atta boy" in return!

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Hidden : 6/27/2003
Difficulty:
3.5 out of 5
Terrain:
1 out of 5

Size: Size:   regular (regular)

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Geocache Description:

This is a summer-friendly park-and-grab cache. The time you spend outside air-conditioned comfort will be very short - if you do your homework.

In the crop fields south of Crabb, Texas are two giant circles formed neither by aliens nor jocular British pranksters. They are mathematical circles, constructs of the mind and imagination and they are going to help you find my cache.

The first and larger one, the center of which is defined by the coordinates given above, has a diameter of 1.5 miles exactly. The second is northwest of the first and is defined by its center at N29 27.602, W95 44.057 and a diameter of one mile. The cache itself is located at precisely the mid-point of the segment formed by the northern common external tangent of the two circles.

You now have all of the data you need to find the cache. If you do not know where to begin you might try a search on the internet for tangent, circles, tangent of two circles, etc. There is usually more than one way to skin a geometric cat but this problem can be solved with one trig function and normal projection techniques. You might even get close doing it graphically. I will get you started below with several hints that will hopefully stimulate some ideas.

Finally about the cache itself: It consists of a tupperware container. You'll have to be on top of it to see it. Watch for spiders and snakes. And have fun. If the cache is missing, e-mail me the word on the brass disk on top of the nearby fence post for credit.

Additional Hints (Decrypt)

Pbfvar Evtug gencrmbvq N evtug natyr vf sbezrq ol gur vagrefrpgvba bs gur enqvhf bs n pvepyr naq vgf gnatrag. Qe. Zngu

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)