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Two Cats One Can Mystery Cache

A cache by fog Message this owner
Hidden : 9/20/2005
Difficulty:
3 out of 5
Terrain:
2 out of 5

Size: Size:   regular (regular)

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Geocache Description:

The coords above are for a Trail Head on River Street that is within 9**-15 parsecs of the cache. Heavy math lifting is required.

I have two virtual cats, Vesica and Pisces, who share a single can of food at each meal. My cats are very finicky and get angry if their portions are unequal. I am finicky too, and I don't like dirtying dishes when I divvy it up. To split the food, then, I upend the open can of food onto a flat plate, then carefully lift the can off, leaving a perfectly formed virtual cylinder of food. Then I use the vanishingly small circular edge of the can to carefully cut the food into two exactly equal portions, one of which is shaped like a crescent moon, the other a cat's eye, or mandorla.

To find the cache, determine how far I need to offset the empty can in order to bisect the food equally. Find N42 22.NNN W71 49.WWW, where:

NNN is the offset expressed as the distance between the center of the can and the center of the food relative to the radius, i.e. a ratio like 0.NNN*r

WWW is the angle in whole degrees formed inside the two radii that connect the intersections of the two circumferii.

Important: The coordinates as described above are the original location of the cache, and also the coordinates that will yield "success" in geochecker. The cache was muggled twice in 2008. The final is now in a new location. Add .092 to the north coordinates and add .252 to the West coordinates. Thanks to Steve of gpscouts for helping maintain this cache while was fog away from 2008-10!


Apparently aliens don't bisect their circles proportionately


I invite solvers to show their work in the cache log (but not the online log). Two TB's are released with this cache, Vesica the Fish, and Pisces the Cat.

You can check your (un-offset) answers for this puzzle on Geochecker.com.

Good luck, and Peace - Love - Fog.

Additional Hints (Decrypt)

(pb)fvar dhn aba

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)