Skip to content

9. The Triangle Within Mystery Cache

Hidden : 12/9/2020
Difficulty:
2 out of 5
Terrain:
2.5 out of 5

Size: Size:   micro (micro)

Join now to view geocache location details. It's free!

Watch

How Geocaching Works

Please note Use of geocaching.com services is subject to the terms and conditions in our disclaimer.

Geocache Description:


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.

The number of small triangles in a larger triangular shape is given by N=4n3+10n2+4n-1+(-1)n/16 where n is the number of rows of small triangles within the large triangle. An alternative way of solving this problem is to used N=(n(n+2)(2n+1)-1)/8 when n is an odd number or N=n(n+2)(2n+1)/8 when n is an even number.

Number of Rows Number of triangles
1 1
2 5
3 13
4 27
5 48
6 78
7 118

If there are ab triangles in the figure above, the cache can be found at

N51 13.a(a-a)(a+a)    E000 09.(a+a+b)(a+a+b)(a+b)

*** Congratulations to -KROP- on FTF ***

Additional Hints (Decrypt)

Ehooyr, haqre oevpx

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)