Pi Day

Friday the 13th today, and Pi Day tomorrow. Horror is cold-shouldering me a little, so here‘s a piece of pi:
3.1415926535897932384626433832795028841971693993751058209749445923078164062 862089986280348253421170679821480865132823066470938446095505822317253594081
284811174502841027019385211055596446229489549303819644288109756659334461284 756482337867831652712019091456485669234603486104543266482133936072602491412 737245870066063155881748815209209628292540917153643678925903600113305305488 20466521384146951941511609… (If you’re still hungry, there’s some more here.)

Can I give a small anecdotal … life’s too short, but that’s a fragment of ‘Pilish’ apparently:

Many poems have been written in pilish – “piems”, of course – and there’s even a pilish novel 10,000 words long.

Since π was proven to be transcendental (by Ferdinand von Lindemann in 1882) we’ve known that squaring the circle is impossible. Everyone reveres Euler’s identity (e^iπ + 1 = 0), but there’s more: “Pi is also interesting to mathematicians because it crops up frequently in areas with no obvious connection to geometry or circles. For example, if you toss a coin 2n times, and n is very large, the probability of getting equal numbers of heads and tails is 1/√(nπ).”

… since pi is an irrational number … the digits in its decimal expansion will never repeat in a periodic pattern. It is also likely that pi is “normal”, meaning that each of the digits from 0 to 9 will appear in the expansion exactly one tenth of the time. Pi’s digits seem to mimic randomness exceptionally well, meaning that – theoretically, at least – it should be possible to find any number string somewhere in pi.

Since Gödel it has been understood that any possible statement can be coded as a number, which means that everything that could ever be said lurks somewhere in π. Conceive a library, of arbitrary vastness, and its entire contents — perfectly ordered — are virtually pre-existent within it. π implicitly anticipates every religious doctrine, philosophy, scientific theory, epic novel, and poem — to restrict ourselves to its loftier regions. There is nothing mathematics can ever discover that the single sign π does not already tacitly whisper to us, if only we could read it with absolute intelligence. To taste a speck of infinity tomorrow would be appropriate.

ADDED: Joseph Shipley’s 31 digit Pilish poem —

But a time I spent wandering in bloomy night;
Yon tower, tinkling chimewise, loftily opportune.
Out, up, and together came sudden to Sunday rite,
The one solemnly off to correct plenilune.

(31 is, of course, the qabalistic key of Thelema — as well as the first two digits of π — but that is no doubt a coincidence (or perhaps two)).

ADDED: Why Pi matters. (Tau gets an early mention.)

March 13, 2015admin 20 Comments »


20 Responses to this entry

  • Steve Johnson Says:

    All these examples convince me more and more that pi is a mistake.

    Look at how much more elegant they are with tau as the fundamental constant instead.


    admin Reply:

    Doesn’t Euler’s Identity suggest the opposite?


    Steve Johnson Reply:

    e^(tau * i) = 1

    That’s not more elegant?


    admin Reply:

    For anybody else out there who’s participating in my migraine, this might be helpful. Scroll down to the Euler’s identity section (2.3).

    E. Antony Gray (@RiverC) Reply:

    I am a tauist, of course. double-pi is the sign of the cross. Bless yourselves, gentlemen.

    Jesus Christ TΦ Reply:

    Tau is evil. Tau is distance, Pi is Space. Tau is circumference. Pi is area. Tau is line. Pi is circle. The volume of Gabriel’s Trumpet is not Tau, iit’s Pi.


    Posted on March 13th, 2015 at 3:48 pm Reply | Quote
  • Pi Day | Neoreactive Says:

    […] By admin […]

    Posted on March 13th, 2015 at 4:10 pm Reply | Quote
  • Orthodox Laissez-fairist Says:

    Since information resolves uncertainty, and only thing π tells us is number π itself, that means, that unless you have a decoder that translates from digits of π to something humans can understand, the informational content of π is exactly 1 Sh. However, such decoder need not be actually made, just proven possible in order to prove that everything that could ever be said lurks somewhere in π.


    admin Reply:

    Yes, it’s the Library of Babel. (Not for us.)


    survivingbabel Reply:

    Do what thou wilt shall be the whole of the law.

    True Will – The Face of Gnon – The Will of God – The Dao

    Love is the law, love under will.

    “Teacher, which commandment in the law is the greatest?”

    He said to him, “You shall love the Lord, your God, with all your heart, with all your soul, and with all your mind.

    This is the greatest and the first commandment.

    The second is like it: You shall love your neighbor as yourself.

    The whole law and the prophets depend on these two commandments.”


    E. Antony Gray (@RiverC) Reply:


    Is that not also become a ‘universalist’ mystery word? It helps that it is a universal mystery word, for every language has it, but no one is quite certain what it really means.

    It is clear that a component of love is suffering, as we have the origin of the word ‘passion’, which we associate with ‘love’ in our language. The endless capacity for humans to suffer is related to their capacity to love. But so much of our present system is an attempt to short-circuit or remove suffering; from others only to the extent that it relieves suffering in us. Ergo, it is a loveless system. And if loveless, is has no strength, no will, and no law.

    “America is not going to be okay” – The Duck

    Posted on March 13th, 2015 at 4:41 pm Reply | Quote
  • Stirner (@heresiologist) Says:

    The elegance of section 3 (Table 3) is rather astounding.


    Posted on March 13th, 2015 at 5:44 pm Reply | Quote
  • Tom Hunt Says:

    I became less enchanted with the π-as-infinite-library bit when I realized that, on average, the index of any string within π is as long as the string itself. Still fun to think about, though.


    Posted on March 13th, 2015 at 6:15 pm Reply | Quote
  • Pi Day | Reaction Times Says:

    […] Source: Outside In […]

    Posted on March 13th, 2015 at 7:42 pm Reply | Quote
  • hillary in yoga pants Says:

    3.14.15 9:26:53


    admin Reply:

    Yes, but the year part is deeply degenerate. Logical format goes: 2015 / 03 / 14.


    E. Antony Gray (@RiverC) Reply:

    Non-Julian gtfo


    Hegemonizing Swarm Reply:

    Yes, the only logical date ordering is YYYY MM DD* as DD changest fastest and YYYY slowest.

    One doesn’t write numbers in little-endian, or worse, middle-endian, so why dates?

    * …at least until we give up the Earth-centric crutches and switch to a unit such as seconds since the epoch


    Posted on March 13th, 2015 at 9:45 pm Reply | Quote
  • Joseph sans Brothers Says:

    “Pi is an interference pattern in the elementary references of any observer” – Louis Kauffman

    See here: http://homepages.math.uic.edu/~kauffman/VirtualLogic.pdf

    He expands Euler’s Formula to show how Pi is an expression of relations between i, Infinity, the infinite root of -1, and One.


    Posted on March 14th, 2015 at 2:20 am Reply | Quote
  • This Week in Reaction (2015/03/13) | The Reactivity Place Says:

    […] a public service, Nick Land wishes gently to remind us whence NRx sprang. Also tomorrow is Pi Day… omigosh, that came up quickly! Better dust off my roundest hat. An especially significant […]

    Posted on March 14th, 2015 at 4:37 am Reply | Quote

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