# Reviewer notes

Use this space to describe your geocache location, container, and how it's hidden to your reviewer. If you've made changes, tell the reviewer what changes you made. The more they know, the easier it is for them to publish your geocache. This note will not be visible to the public when your geocache is published.

##### This cache has been archived.

The Rat: The container, which is part of the charm of this cache, is unrepairable. I'm afraid I have to archive this.

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## A gathering of hands

A cache by PhilippeGPS (maintained by The Rat) Message this owner
Hidden : 5/14/2004
Difficulty:
Terrain:

Size:  (micro)

#### Watch

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### Geocache Description:

This is a puzzle cache. The posted coordinates are not the actual coordinates of the cache. Solve the puzzle below to get the coordinates, which will be within 2 miles of the posted coordinates.

Like Digits this is a puzzle with instructions. There are no hidden hints or clues. Find an elegant way to solve it, and you won't need any programming or a spreadsheet, maybe just a calculator (*).

On an analog clock with 3 hands (hours, minutes, seconds), the 3 hands overlap exactly only once every 12 hours, at noon and midnight. In between, those 3 hands have several  near misses, but never overlap perfectly. Find the exact time, in hours, minutes, seconds and 1000ths of a second, when the 3 hands have the closest near miss (excluding anything within 5 minutes before and after noon/midnight, which isn't a near miss). Define the closeness as the size of the inside angle between the hands at any time. You are looking for the time when the largest of the 3 inside angles formed by the 3 hands (h & m, h & s and m & s) is the smallest. You should find 2 solutions with the exact same angle.

Use the earliest solution, T1,  to calculate the coordinates of the cache:

T1 = A hours, B minutes, C seconds and D/1000ths of a second
(hours go from 0 to 11, minutes and seconds go from 0 to 59)

N = [((A * B) + 11) * D] + (C -5)

W = (C - 2) * D + (2 * A * B) + 1

The cache is located at:

North 37º nn.nnn (where nn.nnn = N/1000)

West 122º ww.www (where ww.www = W/1000)

Use the latest solution, T2, to get a  location hint:

T2 =  E hours, F minutes, G seconds and H/1000ths of a second
(hours go from 0 to 11, minutes and seconds go from 0 to 59)

X = (2 * E * F) - (H + G)

Y= (F + E + E + 4)/G

Cache is located X ft high, facing Y "hours" true north.

The cache can be found with the coordinates only. But it will be harder. The cache is slightly larger than a micro, but does only contain the log sheet and stash note. Bring your own pen.

(*) if you'd like to receive the elegant solution after your find, email me your final coordinates and I'll reply with the elegant solution.

[Do not remove the red tape. Peel it back to access the log sheet, and replace it when done.]

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)

Find...

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