Please see number 1 in the series (Are you a square?) for a full description of the walk, there is street parking available in the village of Weald.
The cache is not at the posted coordinates.
This is a relatively simple puzzle, the information below will help you to solve it and might assist with a slightly harder one placed close by.
How many squares are there in a non complex grid?
The general equation for the total number of squares in a grid with a size of nxn is N = n(n + 1)(2n + 1)/6, using this equation N has been determined or a selection of grid sizes.
| Grid size (nxn) |
Number of squares (N) |
| 1x1 |
1 |
| 2x2 |
5 |
| 3x3 |
14 |
| 4x4 |
30 |
| 5x5 |
55 |
| 6x6 |
91 |
The first example is based on six 2x2 squares with four joined to form a large square. The other two are sub-divided into four 1x1 squares and positioned in an off-set position top and bottom. The figure is non-complex because each group of four squares can be considered individually as three 4x4 squares. The total number of squares is 3x5=15
The second example is based on twenty 2x2 squares with 16 positioned to form a large square. The other four are sub-divided into four 1x1 squares and positioned in an off-set position. The figure can be considered as one grid of 4x4 and four 2x2 grids. The total number of squares is 30+(4x5)=50.
Now to the puzzle shape
If the number of squares is abc then the cache can be found at
N51 13.(b-a)(b+b-c)b E000 10.(b+b-a)bb
*** Congratulations to -KROP- on FTF ***