Ta' bom, eu sei que foi ontem, but... what the hell...

(thx  to Deepak Punjabi )

July 22 - Pi Approximation Day

Pi Approximation Day is celebrated on July 22, because of the Ancient
Greek mathematician Archimedes' first rough approximation of Pi (p) as
being 22/7.


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Happy Pi Approximation Day!

By Rene Sance
Published: July 22, 2009

Pi, as everyone but samuraipandapoetry will recall, is the ratio
between a circle’s circumference and its diameter.  If the diameter of
a circle is 1, than its circumference is π.  Its value is
traditionally represented as 3.14159…  Some people celebrate the 22nd
of July for its approximation of π (22/7).  Others celebrate March 14
(3.14), although the deluded followers of the March date refer to it
simply as Pi Day.  But all values for π are approximations, because π
is irrational.  The ancients did not know this - and it wasn’t finally
proven until the 18th century - but π cannot be expressed as any exact
fraction. (This despite the Indiana House of Representatives passing a
law stating that π = 3.2.) Pi extends forever and ever, and where π
goes, its devotees follow.

A major breakthrough for calculating π came with the invention of
electronic computers and yet more efficient algorithms.  Suddenly,
thousands of digits were being calculated, and records were being
overturned more and more rapidly.  In 1973, 1 million decimal places
of π were computed.  By the 1980s, records of 16 million and then over
201 million digits had been set.  In 1989, David and Gregory
Chudnovsky found 480 million digits using a home supercomputer they
custom built from off-the-shelf parts that took up most of their
apartment.  Later that year, they reached 1 billion digits.  When a
competitor reached 6 billion digits 6 years later, the Chudnovskys
turned around and attained 8 billion digits the year after that.  In
1997, a Japanese team calculated 51.5 billion digits of π.  The same
team set the current record of just over 1 trillion digits.

Make no mistake: 30 decimal places would suffice to measure a circle
the size of the observable universe to within the width of an atom.
Calculating decimal places beyond that has no practical value.  The
strenuous, sometimes life-long exertions of number theorists
throughout history to eke out the next digit of π, and then the one
after that, have served the goal of finding patterns in the unending
river of numbers.  The mystery is the message.  But as far as anyone
has been able to determine, the digits are more or less random.

Deepak Punjabi

--
[ ]'s
Claudiß

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