Skip to content

To Infinity and Beyond Mystery Cache

Hidden : 10/23/2015
Difficulty:
5 out of 5
Terrain:
2.5 out of 5

Size: Size:   small (small)

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:

The cache is not at the published coordinates. Solve the following puzzle to determine the actual coordinates.

I get really frustrated when I can solve a puzzle, but then fail to find the cache because it is hidden too well, I don't recognize the hide style, or I am just too blind to see the obvious (most likely cause for me). With this cache I went the extra step to help you avoid these types of situation. The puzzle below will give you the coordinates of GZ. But in addition, I have provided three (3) specific hints to pinpoint the exact location of the cache container. These hints are at three distinct stages on your journey to sign the log, starting with hint #1 on this page.


    \begin{equation*}\left(\begin{array}{cc}\displaystyle{
    \lim_{x\to\infty}\left\{\frac{a_1x^2-a_2x+a_3}{\sqrt{3}
    x^2+\pi}\right\}}&\displaystyle{\lim_{x\to\infty}\left\{
    \left(b_1-e^{x^2/4}+b_2\sin\frac{x}{\pi}+b_3\cos^2\frac
    {x}{\sqrt{3}}\right)e^{-0.25x^2}\right\}}\\&\\\displaystyle{
    \sin\left(\lim_{x\to\infty}\left\{\frac{1+\frac{x}{c_1}}
    {\frac{c_2}{c_1}+1}\frac{\pi x}{4x+\frac{c_2\pi}{x+\frac
    {\pi}{x+c_2\pi}}} \frac{c_1+c_2}{c_1+x}\right\}\right)}&
    \displaystyle{\lim_{x\to\infty}\left\{\frac{\sqrt{x^2+d_1^2}
    -d_1x+x^{3/2}}{(\sqrt{x}+d_2)^2+d_3x^{2/3}}\left(d_4x^{1/6}
    -\frac{1}{d_5}\right)^{-3}\right\}}\\\end{array}\right)
    \left(\begin{array}{c}N\\\\W\end{array}\right)=\left(
    \begin{array}{c}N_0\\\\W_0\end{array}\right)\end{equation*}
    \begin{eqnarray*}a_1&=&7.3945811\\a_2&=&37.4941857\\a_3&
    =&937.1845096\\b_1&=&5.7629111\\b_2&=&-0.1383465\\b_3&=&
    122.2210377\\c_1&=&-17.6265681\\c_2&=&9.6663122\\d_1&=&
    37.3737373\\d_2&=&-0.0010091\\d_3&=&101.5573423\\d_4&=&
    1.0845719\\d_5&=&47.8819231\\\end{eqnarray*}
    Yvzvg pnyphyngvbaf ner cneg bs gur Pnyphyhf V pheevphyhz, 
    naq qrgnvyf nobhg gurz pna or sbhaq va gur nccebevngr grkg 
    obbxf. Fbzr fvzcyr vagebqhpgvbaf nerq ng\ortva{rahzrengr}
    \vgrz\hey{uggcf://jjj.zngufvfsha.pbz/pnyphyhf/yvzvgf.ugzy}
    \vgrz\hey{uggc://ghgbevny.zngu.ynzne.rqh/Pynffrf/PnypV/YvzvgfNgVasvavglV.nfck#
    Yvzvg_YvzNgVas_Rk1n}\raq{rahzrengr}
  

Jan. 05 2020: hint #3 has been weathered away. Updated certitude hint is now more specific.



You can validate your puzzle solution with certitude.

Congratulations to Yaten for FTS and FTF.

Additional Hints (No hints available.)