*This
nOde
last updated
April 8th,
2008 and is
permanently
morphing...
(2
Ik (Wind) / 5
Pohp (Mat)
- 2/260 -
12.19.15.4.2)*

3.14...

22/7

pi (pì) noun

plural pis

1. The 16th letter of the Greek
alphabet.

2. Mathematics. A
transcendental number, approximately 3.14159, represented by the
symbol p, that expresses the ratio of the circumference to the
diameter of a circle and appears as a constant in many mathematical
expressions.

[Medieval Greek, from Greek
pei, of Phoenician origin; akin to Hebrew pê.]

pi also pie (pì) Printing.
noun

plural pis also pies

An amount of type that has been
jumbled or thrown together at random.

verb

pied (pìd) also pied piing
pieing pies pies verb, transitive

To jumble or mix up (type).

verb, intransitive

To become jumbled.

[Origin unknown.]

The most decimal places to which pi (p) has been calculated is 206,158,430,000. Professor Yasumasa Kanada of the University of Tokyo and Dr Daisuke Takahashi made the calculation by running two different programs in September 1999. The programs ran for 37 hours 21 minutes.

pi, in mathematics, the ratio of the circumference of a CIRCLE to its diameter; its symbol is p. The ratio is the same for all circles and is approximately 3.1416. The NUMBER p is irrational and transcendental. An early value was the Greek approximation 3 1/7; by the mid-20th cent. a computer had calculated p to 100,000 decimal places.

The formula shown below allows
one--- if one wishes---to find the billionth digit of pi without first
computing the preceding 999,999,999 digits. In other words, __isolated__
digits of pi can be quickly calculated should an urgent need arise.
P.B. Borwein et al, at Simon Fraser University, announced this
"curious" discovery in October 1995.

This is the equation mathematicians use in
calculating isolated digits of pi. |

Innuendo aside, there is
something more than "curious" here. It seems that the formula works __only__
for hexadecimal (base-16) digits of pi. These can be easily converted
into binary (base-2) digits. Strangely, it does not work at all for
our familiar decimal (base-10) digits of pi.

Not to worry though. Y. Kanada and colleagues, at the University of Tokyo, have now computed pi to 4,294,960,000 decimal digits. But, they have found a puzzling asymmetry. In the first 4 billion digits, the decimal digit 6 occurs 400,033,035 times, but 2 shows up only 399,965,405 times! Shouldn't all ten digits appear with the same frequency? Obviously, we do not appreciate all of the subtleties of pi.

Consider the positive integer, 8. It can be written as m 2 + n 2 , a sum of two squares of integers, in just 4 ways, namely when the pair (m, n) is (2, 2), (2, -2), -2, 2), and (-2, -2). The integer 7, on the other hand, cannot be written as the sum of any squared integers. On the average, over a very large collection of integers from 1 to n, in how many ways can an integer be written as the sum of such squares? The answer is little short of astounding: closer and closer to pi!

(Anonymous; "Closing Pi Surprise," Algorithm, p. 7, n.d. Cr. C.H. Stiles)

- 604 release _Pi-Man/Photogram_ 12" by Eargear on Naja #18
- sample on _Pi-Man_:
*"we do what we want..."*

- 604 track _Patterns Of..._ by BLT & Danny Markov
- sample:
*"But my guess is that certain problems cause computers to get stuck in a particular loop. The loop leads to meltdown, but right before they crash they... they become "aware" of their own structure. The computer has a sense of its own silicon nature and it prints out its ingredients."*- from the film _Pi_ -

- ambient track _Low Frequency
Inversion Field_ MP3 (6:57) by Spacetime Continuum off of _Pi -
Soundtrack_ compilation CD on Silva Screen (1999)
- sample:
*"it is my hypothesis. within the stock market there is a pattern as well. right in front of me. hiding behind the numbers."*

- sample:
- trance release _Pi MP3/Wave Intruder_ promo12" on Internal (1997)
- techno release _Pi_ 12" by Asem Shama on on Ghostline Electronics #002
- a1 _Pi_ MP3 (192k)
- a2 _Bioport_ MP3 (192k)
- references game controller through spinal column in film _eXistenZ_ (vhs/ntsc) (1999) directed by David Cronenberg
- b1 _The First Android_ MP3 (192k)
- release _Neverending Math Equation MP3/Grey Ice Water_ 7" by Modest Mouse on Sub Pop (1998)
- dubstep track _Alone
In The Darkness_ MP3 by Artikal off of _Alone In The Darkness_ 12"
on Artikal Music UK #001 (2012)

- samples from the film _Pi_:
*“9:13, Personal note: When I was a little kid my mother told me not to stare into the**sun. So once when I was six I did. The doctors didn’t know if my eyes would ever heal. I was terrified, alone in that darkness.”*

- samples from the film _Pi_:

- ambient techno track _Pi Machine_ MP3 (vK) by Move D & Pete Namlook off of _Live In Heidelberg 2001_ CD on FAX (2001)
- 604 track _Pi-Symptom_ MP3 (160k) by Haldolium off of _Deagua_ CD on Nova Tekk

- 604 track _Numerous Numerics_ MP3 (192k) by Hux Flux off of _Division By Zer0_ 12"x2 on Spiral Trax #017 (2003)

- avante-noise track _Di To Solve Pi_ MP3 (224k) by Arab On Radar off of _Yaweh Or The Highway_ CD on Skin Graft (2001)
- track _Pi_ MP3 by The Orb off of _Orblivion on Island (1997)

- techno track _Wrath Of The Math_ MP3 (vK) by Christian Morgenstern off of _Hawaii Blue_ (2001)
- Jedi Mind Tricks with Mr. Lif - _Speech Cobras_ MP3
- sample:
*" 1) mathematics is the language of nature. 2) everything around us can be represented and understood through numbers. 3) if you graph the numbers of any system, patterns emerge. therefore, there are patterns...everywhere in nature..."*- from the film _Pi_

If you take the perimeter of The Great Pyramid of Giza, and divide it by two times the height, you get a number that is exactly equivelant to the number pi (3.14159...) up to the fifteenth digit. The chances of this phenomenon happening by sheer chance is remarkably small. Did the ancientEgyptians know what the number pi was? Not according to traditional history, seeing as it was a number not calculated accurately to the fourth digit, until the 6th century; and the pyramids calculate it to the fifteenth.

*the film _Pi_. i had high hopes for this
one, and it was fantastic 3/4 of the way through. unfortunately
it completely lost it in the end, pummeling you with every david lynch
cliche imaginable. it barely touches upon all the interesting
elements re: kabbalah and chaos theory. i walked out of
the theater disgusted and vowing never to see another fictional film
ever again... - @Om*
11/24/00*

directed by Darren Aronofsky

references to:

- the game Go

- Chaos Theory

- stock market
- Pythagoras
- Leonardo Da Vinci and the Golden Mean
- The Golden Spiral is a mystical shape that is an absolute in both abstract mathematics and chaotic nature. It was first discovered by Pythagoras, a failed Greek messiah and mathematical cult leader in the 5th century B.C. The spiral is derived via the golden rectangle, a unique rectangle which has the golden ratio. When squared, it leaves a smaller rectangle behind, which has the same golden ratio as the previous rectangle. The squaring can continue indefinitely with the same result. No other rectangle has this trait. When you connect a curve through the corners of these concentric rectangles, you have formed the golden spiral. The Pythagoreans loved this shape for they found it everywhere in nature: the Nautilus Shell, Ram's horns, milk in coffee, the face of a Sunflower, your fingerprints, our DNA, and the shape of the Milky Way.

- sample:
*"1..2..3...5...8...13...21.....mathematics is the language of nature..."*- from the film _Pi_

**PHYSICS NEWS UPDATE**

The American Institute of
Physics Bulletin of Physics News Number
428 May 14, 1999 by Phillip F. Schewe and Ben
Stein

PI AND RANDOM NUMBERS. Pi is a "quark" of mathematics: it is one of the basic building blocks out of which various geometrical and algebraic relations are built. Normally thought of as the ratio of a circle's circumference to its diameter, pi keeps turning up in odd places. For example, Georges Leclerc, Count de Buffon, was the first to show a connection between pi and the occurrence of random events. In 1777 he performed an experiment in which needles are randomly dropped onto a surface covered with ruled lines spaced apart by an amount equal to the size of the needle; the fraction of times the needle comes down astride a line is related to pi. Mathematicians have exploited this relation tomake random number generators. Sylvan Bloch (813-961-0778), of the University of South Florida does the converse of this. He and Robert Dressler developed software (for the classroom) for using random numbers to generate a statistical estimation of pi. By the way, in warped space/time pi is not necessarily equal to the ratio of a circle's circumference to its diameter. As an appendix to hisarticle in the April issue of the American Journal of Physics, Bloch shows how "pi" varies as space becomes increasingly curved. (Asusual science journalists can obtain copies of articles from AIP public information. For pi lore, seehttp://forum.swarthmore.edu/dr.math/faq/faq.pi.html

fragrance _Pi_ by Givenchy

Bottle Designer: Serge Mansau

Fragrance famiily: Oriental

"Professor Hans-Henrik Stolum, an earth scientist at Cambridge University has calculated the ratio between the actual length of rivers from source to mouth and their direct length as the crow flies. Although the ratio varies from river to river, the average value is slightly greater than 3, that is to say that the actual length is roughly three times greater than the direct distance. In fact the ratio is approximately 3.14, which is close to the value of the number pi... The ratio of pi is most commonly found for rivers flowing across very gently sloping planes, such as those found in Brazil or the Siberian tundra."

- _Fermat's Enigma_ by Simon Singh

film _Matrix: Reloaded_ (2003)

To return to the
Source, Neo must first go to the Keymaker, another program/person
with "keys" to everything. The door to the mainframe, under intense
security, can only be accessed for "just over five minutes" (until an
alternate security system kicks in), or as the Keymaker puts it "exactly
314 seconds." This of course is a reference to pi, the only "anomaly"
in an otherwise "perfect" system of numbers.