Piphilology

Later computers calculated pi to extraordinary numbers of digits (2.7 trillion as of August 2010),[4] and people began memorizing more and more of the output.

[8] The most common mnemonic technique is to memorize a so-called "piem" (a wordplay on "pi" and "poem") in which the number of letters in each word is equal to the corresponding digit of π.

Indeed, many published poems use truncation instead of one of the several roundings,[citation needed] thereby producing a less-accurate result when the first omitted digit is greater than or equal to five.

The following sonnet is a mnemonic for pi to 75 decimal places in iambic pentameter: Note that in this example, 10-letter words are used to represent the digit zero.

Sound-based mnemonic techniques, unlike pilish, do not require that the letters in each word be counted in order to recall the digits of pi.

Kur i hyej, e kryej, sigurisht, po përtoj andaj nuk fitoj If I start dealing with it, I will do it, but I am lazy therefore I do not win.

It is possible to construct piphilogical poems in Chinese by using homophones or near-homophones of the numbers zero through nine, as in the following well known example which covers 22 decimal places of π.

Some of the mnemonic characters used in this poem, for example "kill" (殺 shā) for "three" (三 sān), "jug" (壺 hú) for "five" (五 wǔ), "happiness" (樂 lè) for "six" (六 liù) and "eat" (吃 chī) for "seven" (七 qī), are not very close phonetically in Mandarin/Putonghua.

Dej, ó Bože, a číslo Ludolfovo já navždy pomnu, pro větší naplnění moudrosti početní.

Mám ó bože ó velký pamatovat si takový cifer řad, velký slovutný Archimedes, pomáhej trápenému, dej mu moc, nazpaměť nechť odříká ty slavné sice, ale tak protivné nám, ach, číslice Ludolfovy!

The following poem composed of alexandrines consists of words each with a number of letters that yields π to 126 decimal places:[21]

Immortel Archimède, artiste ingénieur, Qui de ton jugement peut priser la valeur ?

Jadis, mystérieux, un problème bloquait Tout l’admirable procédé, l’œuvre grandiose Que Pythagore découvrit aux anciens Grecs.

Nouvelle invention : Archimède inscrira Dedans un hexagone; appréciera son aire, Fonction du rayon.

Long ago, mysterious, a problem blocked All the admirable process, the great work That Pythagoras revealed to the Ancient Greeks.

Not too much to hold onto there: Will split each previous element; Always the calculated orb will approach Will define the limit; finally, the arc, the limiter Of this disturbing circle, an enemy too rebellious Teacher, teach its problem with zeal An alternative beginning: This statement yields π to twenty-two decimal places: English translation that does not encode pi: Looser English translation that encodes pi: Nem a régi s durva közelítés, Mi szótól szóig így kijön Betűiket számlálva.

Szüntelen felhőbe burkolózó idő az, Ami változni ámha akarna se tudhat, Mert azt nem írhattya már le halandó kívánsága.

For example, to 31 decimal places:[22] This is close to being ungrammatical nonsense, but a loose translation prioritizing word order yields: Japanese children also use songs built on this principle to memorize the multiplication table.

Ἀεὶ ὁ Θεὸς ὀ Μέγας γεωμετρεῖ, τὸ κύκλου μῆκος ἵνα ὁρίσῃ διαμέτρῳ, παρήγαγεν ἀριθμὸν ἀπέραντον, καὶ ὅν, φεῦ, οὐδέποτε ὅλον θνητοὶ θὰ εὕρωσι The Great God applies geometry forever; To define the length of the circle using its diameter, He produced an infinite number, Which, alas, mortals will never find in its entirety.

Daj, o pani, o boska Mnemozyno, pi liczbę, którą też zowią ponętnie ludolfiną, pamięci przekazać tak, by jej dowolnie oraz szybko do pomocy użyć, gdy się problemu nie da inaczej rozwiązać, pauza — to zastąpić liczbami.

Już i Lato i Deyna / strzelili do bramki obcej / dwa karne / Lubański dostrzegł mistrza Szarmacha / gdy on tak wypuścił cios szacha / że zdobyć musi cel gry / krzyknął Gol na Mundial Argentyna.

Lubański noticed the champion Szarmach, when he had so released a Shah's strike that he's got to attain the objective of the game; he shouted 'Goal' at the World Cup Argentina.

Esbeltas mulheres para o musculado, sereias e fêmeas pecadoras Até idolatram serpentes com ardente macho.

There is another phrase known in Romanian that will help to memorize the number by eight decimal places: Așa e bine a scrie renumitul și utilul număr.

Это я знаю и помню прекрасно, Пи многие знаки мне лишни, напрасны.

Čak i Grci i stari Vavilonci su kazali: obime kad deliš krugovim prečnikom dobijaš neophodan nam pi.

Now I, even I, would celebrate in rhymes inept, the great immortal Syracusan rivaled nevermore who in his wondrous lore passed on before left men his guidance how to circles mensurate.

Y queda solamente la inútil cifra con pocos destinos poderosos, tristes devenires sin el más sencillo bien.

Sen, o alan o çevre bölününce ve sonsuz rakam ile çıkan değişken dizilimli sayısın.

[28] Suresh Kumar Sharma holds Limca Book's record for the most decimal places of pi recited by memory.

Recent decades have seen a surge in the record number of digits memorized. [ 4 ]