The cache is a metal cylinder with a
dual lid/locking mechanism.
The cache measures: diameter 7 cm,
height 20 cm.
As this is a
”mystery-cache” you will not get any additional
waypoints, for that reason the last 50-100 meters is VERY
challenging. There are steep cliffs almost all the way round the
cache. That’s the reason why the terrain rating is set as
high as it is.
Please be VERY careful. It’s
not recommended to bring dogs or children.
Do not be scared by the description
above! It might require some climbing to get to the cache, but
I’m sure you’ll find it a fulfilling and fruitful
experience.
Pi
p (sometimes written pi) is a
mathematical constant whose value is the ratio of any circle's
circumference to its diameter; this is the same value as the ratio
of a circle's area to the square of its radius. p is approximately
equal to 3.14159 in the usual decimal positional notation. Many
formulae from mathematics, science, and engineering involve p,
which makes it one of the most important mathematical
constants.
p is an irrational number, which
means that its value cannot be expressed exactly as a fraction m/n,
where m and n are integers. Consequently, its decimal
representation never ends or repeats. p is also a transcendental
number, which implies, among other things, that no finite sequence
of algebraic operations on integers (powers, roots, sums, etc.) can
be equal to its value; proving this was a late achievement in
mathematical history and a significant result of 19th century
German mathematics. Throughout the history of mathematics, there
has been much effort to determine p more accurately and to
understand its nature; fascination with the number has even carried
over into non-mathematical culture.
Probably because of the simplicity of
its definition, the concept of p has become entrenched in popular
culture to a degree far greater than almost any other mathematical
construct. It is, perhaps, the most common ground between
mathematicians and non-mathematicians. Reports on the latest,
most-precise calculation of p are common news items. The current
record for the decimal expansion of p, if verified, stands at 5
trillion digits.
The Greek letter p was first adopted
for the number as an abbreviation of the Greek word for perimeter
(pe??µet???), or as an abbreviation for "periphery/diameter", by
William Jones in 1706. The constant is also known as Archimedes'
Constant, after Archimedes of Syracuse who provided an
approximation of the number, although this name for the constant is
uncommon in modern English-speaking contexts. (Quoted from
Wikipedia).
Phi
The golden ratio has fascinated Western
intellectuals of diverse interests for at least 2,400 years.
According to Mario Livio:
“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.”
Ancient Greek mathematicians first studied
what we now call the golden ratio because of its frequent
appearance in geometry. The division of a line into "extreme and
mean ratio" (the golden section) is important in the geometry of
regular pentagrams and pentagons. The Greeks usually attributed
discovery of this concept to Pythagoras or his followers. The
regular pentagram, which has a regular pentagon inscribed within
it, was the Pythagoreans' symbol.
Euclid's Elements (Greek:
St???e?a) provides the first known written
definition of what is now called the golden ratio: "A straight line
is said to have been cut in extreme and mean ratio when, as the
whole line is to the greater segment, so is the greater to the
less." Euclid explains a construction for cutting (sectioning) a
line "in extreme and mean ratio", i.e. the golden ratio. Throughout
the Elements, several propositions (theorems in modern terminology)
and their proofs employ the golden ratio. Some of these
propositions show that the golden ratio is an irrational
number.
The name "extreme and mean ratio" was the
principal term used from the 3rd century BC until about the 18th
century.
The modern history of the golden ratio
starts with Luca Pacioli's De divina proportione of 1509, which
captured the imagination of artists, architects, scientists, and
mystics with the properties, mathematical and otherwise, of the
golden ratio.
Michael Maestlin, first to publish
a decimal approximation of the golden ratio, in 1597.The first
known approximation of the (inverse) golden ratio by a decimal
fraction, stated as "about 0.6180340," was written in 1597 by Prof.
Michael Maestlin of the University of Tübingen in a letter to his
former student Johannes Kepler.
Since the twentieth century, the golden
ratio has been represented by the Greek letter F or f (phi, after
Phidias, a sculptor who is said to have employed it) or less
commonly by t (tau, the first letter of the ancient Greek root
t?µ?—meaning cut).(Quoted from Wikipedia).
To find the cache:
Coordinates NORTH:
3.14159265348979323846264338
3279502884147169399375145820
974944592407816406286208998
6280448253421170479821480865
132843066470938446095505822
31725359408128481117450284102
7019
Coordinates EAST:
1.61843398874989484820458683
436563841772430947980576246
213544864270526046281890244
970720720418949113748475408
807538684175212663386222353
693179318006076672635443338
9086595
