The
cache is not at the listed coordinates.
Some of the greatest
mathematical minds of all ages, from Pythagoras and Euclid in
ancient Greece, through the medieval Italian mathematician Leonardo
of Pisa and the Renaissance astronomer Johannes Kepler, to
present-day scientific figures such as Oxford physicist Roger
Penrose, have spent endless hours over this simple ratio and its
properties. But the fascination with the Golden Ratio is not
confined just to mathematicians. Biologists, artists, musicians,
historians, architects, psychologists, and even mystics have
pondered and debated the basis of its ubiquity and appeal. In fact,
it is probably fair to say that the Golden Ratio has inspired
thinkers of all disciplines like no other number in the history of
mathematics.
—Mario Livio, The Golden Ratio: The Story of Phi, The World's
Most Astonishing Number
The Golden Ratio can be found in many things naturally, see the
examples below. Also, a stunning video on how Phi occurs in nature
can be found here. Nature by
Numbers
It has also been used
aesthetically for providing the most eye-pleasing geometries and
has captured the imagination of artists, architects, scientists,
and mystics with the properties, mathematical and
otherwise.
Until recently, it was not
widely known that Phi also has also been found in geocaching as
finding the longest, most complex route to the cache due to
"following the arrow" on the GPS.
On to the Puzzle: Below are the coordinates for the 4
corners of a very large rectangle. Your challenge is to determine
the location of the cache, based on rectangle these points
define.
Point A = N 29 43.119, W 95 44.436
Point B = N 29 43.809, W 95 44.436
Point C = N 29 43.809, W 95 43.158
Point D = N 29 43.119, W 95 43.158
So, you ask yourself, what am I
to do with these coordinates? Well, the below picture should give
you a clue. However, there are several possible answers to this
puzzle and this drawing is only intended to show you the approach
to the solution.
You can validate your puzzle solution with certitude.