A polyomino is a shape made by connecting any number of squares together by their edges. A domino is a polyomino. So is every black area of every crossword puzzle. Polyominoes are an important part of various kinds of logic puzzles including, as you may have guessed, the one on this page. Perhaps I should have named this cache “Poly Want a Cracker” or “The Poly and the Ivy” or something. (If you have a stupid/amusing alternative cache title, you could include it in your log. It would make my day. Yes, really.)
An Example Puzzle
Please consider the “map” below. It contains four items: two CACHEs and two TREEs. When the proper borders are drawn in, each item is represented on the map by a polyomino containing all of the item's letters, in no particular order or configuration. Each letter on the map is used in exactly one item – in other words, items cannot overlap and all the letters on the map must be used. Can you divide the map into the four polyominoes?
Well, sure you can. Here's what you came up with - the only possible solution. Good job!
The Real Deal
Bigger is better, right? Please find below a 10x10 map which contains a SHELTER, a LIGHTPOLE, and a number of CACHEs and TREEs. Your mission is to divide the map into the appropriate polyominoes, following the same rules as the example.
Once you’ve done that, you can find this cache at N 39° 56.ABC W 086° 0D.EFG where:
- A = the number of TREEs touching the SHELTER
- B = the number of CACHEs shaped like a plus sign
- C = the number of CACHEs touching the edge of the map
- D = the number of CACHEs touching the LIGHTPOLE
- E = the number of TREEs shaped like a square
- F = the number of CARs on the map if you treat it like a word-search grid
- G = the number of CACHEs that won't fit into a 3x3 area
Here's a geochecker link to verify your solution.
The cache is a few steps off an established dirt path, well into the park. Please DO NOT trespass on the nearby residential property or seek this cache when the park is closed. Please DO consider long pants, bug spray and appropriate footwear. Mark your car with your GPS, enable your bread crumbs and/or carefully note your turns on the paths. Have fun!