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Friday, December 26, 2008

Sajak Untuk Menghapal Pi.. ^^

Sir, I bear a rhyme excelling
In mystic force and magic spelling
Celestial sprites elucidate
All my own striving can't relate

Tahukah kamu untuk apakah sajak di atas digunakan? (Lihat kembali judul di atas.. ^^). Sajak di atas merepresentasikan digit-digit pi () yang bernilai 3,14159 26535 89793 23846. Eitss.. Kalian bisa menemukan sajak-sajak lain (atau mungkin cerita) yang akan membuatmu terkagum-kagum.. Lihat lanjutan post di bawah.. ^^


3,14159 2
How I wish I could calculate pi.

3,14159 26
May I have a large container of coffee?

3,14159 26
Can I have a small container of coffee?

3,14159 26535 89
See, I have a rhyme assisting
my feeble brain, its tasks
oft-times resisting.

3,14159 26535 897
How I wish I could recollect of circle round
The exact relation Archimede unwound.

3,14159 26535 89793 23846
Sir, I wish I could determine pi
Eureka! cried the great inventor
Christmas pudding, Christmas pie
Is the problem's very center.

3,14159 26535 89793 23846 26433 83279
Sir, I send a rhyme excelling
In sacred truth and rigid spelling
Numerical sprites elucidate
for me the lexicon's full weight.
If nature gain, who can complain
tho' Dr Johnson fulminate.

Sir, I bear a rhyme excelling
In mystic force and magic spelling
Celestial sprites elucidate
All my own striving can't relate.
Or locate they who can cogitate
And so finally terminate.

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.

Now I will a rhyme construct
By chosen words the young instruct.
Cunningly devised endeavour,
Con it and remember ever.
Widths of circle here you see.
Sketched out in strange obscurity.

Now I, even I, would celebrate
In rhymes inapt, the great
Immortal Syracusan, rivaled nevermore,
Who in his wondrous lore,
Passed on before,
Left men his guidance
How to circles mensurate.

See, I have a rhyme assisting
My feeble brain, its tasks sometime resisting,
Efforts laborious can by its witchery
Grow easier, so hidden here are
The decimals all of circle's periphery.

3,14159 26535 89793 23846 26433 83279 5
Sir: I wish I could recapture my memory about Sir
Jeans' diabolic mnemonics! However, invention
now of any reliable easy phrase is beyond what shy
and fumbling aid my present intellect gives.

May I have a month, professor,
To figure these, you brain assessor?
Calculate, student, calculate now!
As the figuring gets longer,
My friend, hope you get stronger
And no figures incorrect allow!

You I sing, O ratio undefined
By strict assay and lined,
Sequence limitless. Stunned regarding you,
We see eternity -- alas -- unwind
In random cast and rue,
Dejected out of measure, reckoning blind.

May I tell a story purposing to render clear
the ratio circular perimeter-breaths, revealing
one of the problems most famous in modern days,
and the greatest man of science anciently known.

3,14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 82148 08651 32823 06647 09384 46095 50582 23172 53594 08128 48111 74502 84102 7
How I need a drink, alcoholic of course, after the tough lectures involving quantum mechanics; but we did estimate some digits by making very bad, not accurate, but so goddamn efficient tools! By dropping valuable wood, a dedicated student, I, Volokh, Alexander, can determine beautiful and curious stuff, O! Smart, gorgeous me! Descartes himself knew wonderful ways that could ascertain it too! Revered, glorious - a wicked dude! Behold an unending number: pi! Thinkers' ceaseless agonizing produces little, if anything! For this constant, it stops not -- just as e, I suppose. Vainly, ancient geometers computed it -- a task undoable. Legendre, Adrien Marie: "I say pi rational is not!" Adrien proved this theorem. Therefore, all doubters have made errors. (Everybody that's Greek.) Today, counting is as bad a problem as years ago, maybe centuries even. Moreover, I do consider that variable x, y, z, wouldn't much avail. Pi, imaginary, like i? No, buffoon!

3,14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 82148 08651 32823 06647 09384 46095 50582 23172 53594 08128 48111 74502 84102 70193 85211 05559 64462 29489 54930 38196 44288 10975 66593 34461 28475 64823 37867 83165 27120 19091 45648 56692 34603 48610 45432 66482 13393 60726 02491 41273 72458 70066 06315 58817 48815 20920 96282 92540 91715 36436 78925 90360 01133 05305 48820 46652 13841 46951 94151 16094 330
For a time I stood pondering on circle sizes. The large computer mainframe quietly processed all of its assembly code. Inside my entire hope lay for figuring out an elusive expansion. Value: pi. Decimals expected soon. I nervously entered a format procedure. The mainframe processed the request. Error. I, again entering it, carefully retyped. This iteration gave zero error printouts in all - success. Intently I waited. Soon, roused by thoughts within me, appeared narrative mnemonics relating digits to verbiage ! The idea appeared to exist but only in abbreviated fashion - little phrases typically. Pressing on I then resolved, deciding firmly about a sum of decimals to use - likely around four hundred, presuming the computer code soon halted! Pondering these ideas, words appealed to me. But a problem of zeros did exist. Pondering more, solution subsequently appeared. Zero suggests a punctuation element. Very novel! My thoughts were culminated. No periods, I concluded. All residual marks of punctuation = zeros. First digit expansion answer then came before me. On examining some problemsunhappily arose. That imbecilic bug! The printout I possessed showed four nine as foremost decimals. Manifestly troubling. Totally every number looked wrong. Repairing the bug took much effort. A pi mnemonic with letters truly seemed good. Counting of all the letters probably should suffice. Reaching for a record would be helpful. Consequently, I continued, expecting a good final answer from computer. First number slowly displayed on the flat screen - 3. Good. Trailing digits apparently were right also. Now my memory scheme must probably be implementable. The technique was chosen, elegant in scheme: by self reference a tale mnemonically helpful was ensured. An able title suddenly existed - ``Circle Digits". Taking pen I began. Words emanated uneasily. I desired more synonyms. Speedily I found my (alongside me) Thesaurus. Rogets is probably an essential in doing this, instantly I decided. I wrote and erased more. The Rogets clearly assisted immensely. My story proceeded (how lovely!) faultlessly. The end, above all, would soon joyfully overtake. So, this memory helper story is incontestably complete. Soon I will locate publisher. There a narrative will I trust immediately appear, producing fame. THE END..


Sajak yang terakhir adalah sajak yang memuat 403 digit di belakang pi. Sajak itu ditulis di sebuah buku yang berjudul "The Mathematical Intelligencer", volume 8 no.3, halaman 56-57.. (but, aku gak yakin siapa penulisnya..). Bilangan nol (0) direpresentasikan dengan tanda baca lain selain single dot (.) seperti tanda seru (!), maupun 2 titik(..). Jika ada beberapa kata yang lebih dari 9 huruf, itu merepresentasikan 2 digit. Misalnya, "abbreviated" merupakan representasi terhadap digit "11".

Masih banyak sajak "Pi Mnemonics" yang lain yang tersebar di web. Silakan lihat bagian sumber di bawah untuk melihat referensi yang lebih lengkap. Sajak itu juga tidak hanya dalam bahasa Inggris, tapi juga ada dalam bahasa Spanyol, Romanian, Portugis, dan sebagainya. Namun, alangkah sayangnya. Belum ada sajak Pi dalam bahasa Indonesia (tentunya kita akan kesulitan dalam menemukan kata yang terdiri hanya 1 huruf..)

Sebenarnya, sajak di atas bukanlah untuk dihapal, terutama untuk sajak dengan 402 digit. Siapa yang mau menghapalnya??? Yah, kecuali jika kalian merupakan maniacs "Pi".. :P


  1. Salut sama yang bikin mnemonics....tapi lebih salut sama matematikawan yang menemukan pi.

  2. lha?ngomong2 napain nilai pi itu dihafal sedemikian detailnya??apa ada fungsi nya?kalau ada tolong dikasih tau donk..thanx ya...merry Chrismast! n Happy NewYear!

  3. Mas Hendri,

    Mulanya Rohedi tidak tahu kalau 14 Maret (3/14) itu dirayakan sebagai Pi Day. Tahunya ya malem ultah bilangan Pi itu waktu visit ke blog mathnya mas Ariaturns. Tadinya sih Rohedi pikir Pi itu sudah beres di 22/7 temuan Pak Archimedes itu, tapi waktu baca-baca link yang ditunjuk mas Aria, masyaallah ternyata perburuan formula eksak Pi itu telah 4000 tahun hingga kini. Rohedi iseng pengin tahu apa seh sulitnya bikin Formula Pi itu. Dan tak dinyana Rohedi dapatin formula Pi itu dengan mudah, dalam dua bentuk lagi.

    General Pi formulanya dipost di



    Formula Pi dalam ekspresi Golden Ratio Phi yang dipost di


    Ya barangkali bermanfaat untuk visitor blognya mas Hendri.

    Terima kasih banyak lho mas Hendri,