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Puzzler #2 - Trigons Mystery Cache

This cache has been archived.

Zorkmid: Adjacent land recently changed ownership and, even though the container isn't on that land it's close enough to cause issues. The container will be moved to a new location, but the trigon puzzle will remain unchanged.

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Hidden : 12/12/2018
Difficulty:
4.5 out of 5
Terrain:
2.5 out of 5

Size: Size:   regular (regular)

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Geocache Description:


The cache is NOT at the posted coordinates.

Trigon Puzzles are logic puzzles that can greatly vary in difficulty, sometimes requiring multiple attempts using some degree of guess work.  The better ones can be reasoned logically and this one is of that type.  It is pretty straightforward and shouldn't take too much time to solve if you're careful.

The diagram is made up of a series of open triangles with a number in the center. That number represents the sum of the digits you are to write into the spaces on the sides of the triangles. Where two triangles share a side, they share the number to be written into that side. All the combinations in this puzzle use only the digits 0 through 6. All the possible combinations for every sum are listed in the chart below, so all you have to do is figure out the correct location for each. The numbers in a combination can go in any order around their triangle, and each combination will be used exactly once.

Trigon Puzzle
Trigon Puzzle

Once you've solved the puzzle, calculate the following values:

  1. α = A × C + B
  2. β = D × G × H
  3. δ = D × E × C

The final coordinates are N43° [α × β × (A + α) / 1000]' W80° [α × δ × (C + A + G) / 1000]'

Additional Hints (No hints available.)