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Where's Yoda? Mystery Cache

This cache has been archived.

firstbass: Thanks to everyone who took interest in this one. It was in an unfortunate location, both in terms of winter safety and being susceptible to muggles, and changing the coordinates is too much hassle (I know, rr, offset...) Maybe the basic idea will resurface in another puzzle...

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Hidden : 2/7/2008
Difficulty:
3 out of 5
Terrain:
3 out of 5

Size: Size:   small (small)

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Geocache Description:


The cache at the posted coordinates is not. New container placed and final coordinates updated 4/10/08.


This is the online geocaching version of a game I often play with my students.

Your job is to find Yoda, who is located at a point (X,Y), where X and Y are whole numbers between 000 and 999, inclusive.

To play, go to the Where's Yoda? calculator. (Note: the link is to a page that contains Javascript, which your browser may incorrectly identify as a virus. Check your browser settings if you are unable to access this page.)

For each guess you make, the calculator returns the distance between Yoda and your guess (in units that are unrelated to the cache's location or any measurement units on the Earth).

If you guess randomly, that's fine; you only have one million possible locations to choose from. The goal is to devise a strategy for determining Yoda's location in fewer guesses than that. One of my brightest students once devised a strategy for determining, AFTER ONE GUESS, Yoda's coordinates. Let me know if you'd like to hear about that strategy.

Once you have Yoda's coordinates, you can determine the cache coordinates as follows: if Yoda is at (X,Y), then the north and west minute decimals after N44 58. and W093 14. are (7X - 2Y + 194 , Y^2 - 7(X^2) - 48360). (Incidentally, these equations -- designed to thwart Google Earth twiddlers -- create a "back door" around the calculator, but analyzing them is at least as difficult as working with the calculator. Does anyone see what the back door is?)

The cache is a small clear lock'n'lock container. Please use stealth as necessary and replace carefully to preserve the hide. The cache contains TB dog tags for the first to find, and some other stuff, but not the original Yoda Pez dispenser, which I used to award candy to the students who could locate Yoda in the fewest guesses. It did hold candy after all, and I don't want to take chances.


You can check your answers for this puzzle on Geochecker.com.

Thanks to rickrich, Millah, and speedysk1 for help with the hosting of the calculator.

Additional Hints (Decrypt)

Hfr pvephyne ernfbavat.

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)