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Mouthful of Pi

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A quick way to show that a character is a genius is to have him recite pi to an absurd number of places. With its endless parade of decimal digits, π has both mystique and geek cred — it has its own holiday, it's splashed across mugs and T-shirts, calculating 1–10 millions of digits of π is a very common way of testing your CPU's power, and it's honored by movies and songs. Most of us never memorize it past a few places, so anyone who can fire off a hundred surely must be a genius, right?
For the record, odds are that your computer "knows" pi to the nearest multiple of 2-52, about 2.168×10-15, so about fifteen reliable digits. Ditto for e. You can compute it much more precisely, but you'll need to make your own storage.
The truth is, only a handful of digits are needed for most applications — only 11 decimal places are needed to calculate the circumference of the Earth to a millimeter,note and due to the effects of General Relativity, you would get the wrong answer anyway while only 42 are needed to find the circumference of a circle the size of the entire universe to within less than the diameter of a single proton. There's not much point in memorizing a hundred places other than to show off. (And indeed, after that many digits you can use whatever wrong digits you want because the math will still be pretty darn close — though you'll have a lot of mathematicians gritting their teeth…) For obvious reasons, this is a go-to Overly Long Gag.
For reference, here's a handy guide,◊ and another.
On the other hand, some people really do just enjoy the challenge of memorization, the same way a theater geek might memorize scenes from Shakespeare or a Trekker entire scenes from their favorite episode, and they do it for personal satisfaction rather than any desire to show up anyone else; any feelings of inadequacy are the responsibility of those who feel them, not the math geek's.
Perhaps the reason Reed Richards Is Useless is because he spends his time memorizing numbers he'll never use. It's also a common attribute of the Absent-Minded Professor and the TV Genius, as the contrast is a wonderful thing to show or rant about.
Inversely, a quick way to show that a character is stupid is to have him not know what pi is at all: "Apple or cherry?"
Compare Calculus Is Arcane Knowledge.
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Bree from jPod did a grade-school report on pi and wound up becoming slightly freakishly obsessed with it.
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In the Count Duckula episode "Igor's Busy Day", engaged Americans Scott and Laura stay at Castle Duckula overnight. Scott, a mathematician, reveals that he has memorised pi to 15,000 places; Duckula unwisely asks him about this and he starts demonstrating. Every time the scene cuts back to him for most of the remainder of the episode, he is still reciting. (At the end of the episode, he changes to reciting the largest known prime number, prompting Duckula to wail in despair.)
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Minamimoto from The World Ends with You can not only recite Pi to 156 places but use it as a massive attack so strong that Crystal Dragon Jesus had to retreat to another universe. "Pi-Face" is also his nickname, and his HP from the two different times you fight are 3141 and 5926.
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In the novel version of Carl Sagan's Contact it is discovered that at a particular distant point of the base 11 expression of pi a long sequence of 0 and 1's occurs that forms a bitmap of a circle. (Incidentally, pi is believed to be a normal number, which means that any sequence of numbers will eventually occur, with a frequency that corresponds to its random probability.)
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Early from Navigating Early has not only memorized hundreds of digits of pi, but sees each number as having color and texture. To him, the numbers tell a story about Polaris, the first navigator, who leaves his home to prove himself worthy of his name.
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As noted in the page quote, Fred from Angel has memorized 452 digits of pi. In the same scene the quote comes from, she scares away a homeless guy by reciting it.
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Mouthful of Pi
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Psych: In "Mr. Yin Presents," Shawn and Gus find pi written out to several digits along the tops of the walls in Mary's apartment.
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Mouthful of Pi
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The Simpsons:
Some girls on a playground of a school for the gifted play hopscotch, singing, "Cross my heart and hope to die / Here's the digits that make pi / 3.1415926535897932384...".
Apu mentions he can recite Pi to 40,000 places as proof of his excellent memory, correctly stating that the last digit is a 1. Homer throws in an obligatory "mmmmm, pi" here.
Inverted in "Bye Bye Nerdie", where Professor Frink shouts out "Pi is exactly 3!" to shock an audience of rowdy scientists into silence, apologizing afterward for taking such extreme measures.
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Mouthful of Pi
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Manabe does this in episode 7 of Kotoura-san in an attempt to prevent Haruka from finding out what he may or may not be up to.
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An episode of Clarissa Explains It All featured the title character and her brother on a game show, where he blows the question "What is pi?" with the standard flavors-of-pi mistake. Since he prides himself on being a child prodigy and hates when people prove he's not, this sends him into a period of stunned shock...from which he resurfaces in time to interrupt his sister and prevent her from winning them the game.
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Mouthful of Pi
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Gale Galleon of First Stage Production did a stream where he recited one-hundred and sixty digits of Pi for Pi Day 2024, typing in each number as he said it. With every white number he typed in, it slowly revealed a secret message written in black telling the viewers to check the bottom of the video's description for a link to the waiting room of his first unarchived karaoke later that day.
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Mouthful of Pi
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In Ratchet & Clank: Going Commando, Clank gets repaired by Ratchet, and nearly speaks the final digit of Pi when he wakes up.
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Mouthful of Pi
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Walter from Fringe recited pi to 101 places to help him sleep. And the code to a combination lock on his old garage is 314159. And in "The Plateau", video of a mentally impaired man who's been made intelligent by an experimental drug trial show him reciting the digits of pi to 1000 decimal places while solving differential equations in his head.
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Mouthful of Pi
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"Donald In Mathmagic Land" has a circular bird who recites digits of pi. And gets them wrong.
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Mouthful of Pi
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In The Ancestral Trail, Richard defeats Madelbiot by asking him "What is the complete value of pi?"
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Colin from An Abundance of Katherines by John Green memorized the first 99 digits of pi when he was ten by making up a 99-word sentence in which the first letter of each word corresponds to a digit of pi (a=1, b=2, etc.). (A well-known Real Life rhyme in which the lengths of the words correspond to pi to the first ten places is "See, I have a rhyme assisting my feeble brain, its tasks ofttimes resisting.")
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The 100 Girlfriends Who Really, Really, Really, Really, Really Love You: In Nano Eiai's introduction, after falling in love with Rentarou and realizing that it's distracting her from studying, she starts writing down an absurd number of pi's digits on her board to stay focused. When it runs out of space, she starts writing them on paper and plastering them over her room before giving up.
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Mouthful of Pi
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Discussed Trope in a The Cartoon History of the Universe footnote — the author believes that the accuracy of Pi is a pretty good indicator of a civilization's general mathematical/scientific ability. He then goes on to point out that The Bible specifies that the dimensions of the bronze basin for the Temple should be 10 cubits across, and 30 cubits around, putting the value of Pi at exactly three.
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Happens in Cutie Honey: THE LIVE to show that Honey Kisaragi/Cutey Honey and Miki Saotome/Sister Miki are not normal.
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Mouthful of Pi
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Discworld:
The numbers-obsessed Mr. Bent from Making Money mentions that he'd mastered all the numbers except pi, but was working on it in his spare time and was sure it would give in sooner or later.
Inverted in Moist's previous adventure, Going Postal. The Post Office's old sorting engine was designed by the infamous Bergholt Stuttley "Bloody Stupid" Johnson, who decided that pi was untidy, what with all that "never ending" nonsense, and therefore designed the crucial cog of the engine to have a pi that was exactly 3. This required or resulted in the machine containing a small part of the universe where pi does equal 3, causing some kind of rupture in space-time so that the machine started to spit out letters that hadn't been written yet, and then letters that would have gotten written if the writer hadn't written a different letter instead, and then letters that would never have been written in this particular leg of the Trousers of Time but were starting to bleed over from other legs because the engine was hurting for things to sort.
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One source in the Planescape campaign setting of Dungeons & Dragons mentions the moignos, creatures native to Mechanus (the Plane of Ultimate Law) that are obsessed with finding the finite value of Pi and spend every second of their existence trying to do so.
The same source says that one easy way to confuse a modron (a far more common resident of Mechanus) is to ask it to define Pi. It will eventually give up, but trying to do so should distract it long enough for you to maybe get at something it's guarding or sneak something past it. (This usually only works on the less intelligent ones.)
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The Genius: this reality game show presents challenges based on math and memorization. When Pi digits sequence eventually pops up as way to win the game there is a contestant who have committed 100 first digits of Pi to memory. "For fun".
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Mouthful of Pi
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In The Big Bang Theory episode "The Thanksgiving Decoupling", a drunken Sheldon shows off by burping pi. We only hear him get to "...23846", which would be the twenty-first place.
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Mouthful of Pi
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The numbers-obsessed Mr. Bent from Making Money mentions that he'd mastered all the numbers except pi, but was working on it in his spare time and was sure it would give in sooner or later.
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Mouthful of Pi
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Variation in Homestuck: the Autoresponder doesn't show off just by reciting pi to an excessive number of digits, which isn't really all that impressive for a computer program, but by claiming to have calculated the final digit of pi (four). This is obviously impossible (pi is an irrational number that has no end) and he's only saying it to screw with Dirk, as Dirk rightly points out.
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Legostar Galactica: Security Chief 46 takes offense to being asked to help with a mission on a world with a math-based culture:
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Metal Gear:
In Metal Gear Solid 4: Guns of the Patriots, Sunny can be heard singing the digits of pi before a Mission Briefing.
In Metal Gear Solid: Peace Walker, the Boss AI contained in Peace Walker's AI Pod will attempt to recite pi as Snake removes the pod's memory boards. After a few are removed, it will incorrectly state the number as "3.2546373698888...", and when even more are removed, it will struggle to give the precise number, estimating it as "about 3."
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A character begins mouthing off the Pi sequence in Persona 2 after being challenged by a Jerkass professor. Only the professor doesn't know if the student's right, as he's an English teacher.
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In Monty, when Robotman disappears, he is replaced by an alien-human hybrid whose full name is 3.1415..., but his friends call him Mr Pi. Because the name was given to him as an insult he later changes it to Dave.
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Spiked Math:
Parodied in "Guide to Acting Like a Math Geek", which suggests memorizing the first three digits and making up the rest because no one will care enough to check if you are right.
In "Math Club Rules", a new member is forced to recite pi.
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Mouthful of Pi
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In MAD's "Potrzebie System of Weights and Measures", halavah (used to define the unit of mass) is described as a form of pie whose specific gravity is 3.1416 and specific heat is .31416.
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In Metal Gear Solid 4: Guns of the Patriots, Sunny can be heard singing the digits of pi before a Mission Briefing.
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Mouthful of Pi
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Inverted in Moist's previous adventure, Going Postal. The Post Office's old sorting engine was designed by the infamous Bergholt Stuttley "Bloody Stupid" Johnson, who decided that pi was untidy, what with all that "never ending" nonsense, and therefore designed the crucial cog of the engine to have a pi that was exactly 3. This required or resulted in the machine containing a small part of the universe where pi does equal 3, causing some kind of rupture in space-time so that the machine started to spit out letters that hadn't been written yet, and then letters that would have gotten written if the writer hadn't written a different letter instead, and then letters that would never have been written in this particular leg of the Trousers of Time but were starting to bleed over from other legs because the engine was hurting for things to sort.
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Kyon of Haruhi Suzumiya supposes that the Intergrated Data Entity is smart enough that it "could calculate pi to the hundred millionth decimal point in just two seconds and do all sorts of advanced tricks."
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Reversed in a Pinky and the Brain short on Animaniacs. Brain tells Pinky to ask him any question:
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In Tantei Opera Milky Holmes, Queen Claris (as Sherlock) only needs to get as far as "3.14" to convince the others that she's not Sherlock.
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Mouthful of Pi
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AsapSCIENCE: "The Pi Song", listing the first 100 digits of pi, ends with the line "Learning random digits so that you can brag to your friends". Its succeeding version with 200 digits, "The Pi Song 2.0", also includes this line after the first 100 digits.
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Star Fox Zero: During the Area 3 mission, Fox has to leave behind his Arwing to control the Gyrowing, which is needed to control the reprogrammed Gigarilla superweapon. Rob guides the player in learning the controls, and at the end goes onto to say "It's as easy as pie", only to begin rattling off the numbers of pi. He's only heard going up to so many digits before fading away (presumably Fox cutting the transmission).
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Mouthful of Pi
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Mentioned as a subversion in Harry Potter and the Methods of Rationality, chapter nine, to lampshade Harry's broader intellect as compared to Hermione's Book Smarts. Harry knows pi down to six decimals because that's accurate enough for most practical purposes. Hermione knows a hundred decimals because that was what was printed in her math textbook.
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Ichika from Infinite Stratos recites Pi in his mind to force him to get his mind off the naked Charlotte who's changing right next to him after she dragged him into a changing room both to hide from some girls and to show him her outfit. It largely works as he enters a mantra and seems to be determined to recite the numbers.
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Sam and Max Save the World: In episode 4, "Abe Lincoln Must Die!", Sam reads off the number for a payphone, prompting Max to start reciting the first thousand digits of pi. Sam cuts him off before he can get too far in his count:
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In The Prince of Tennis, one of Sadaharu Inui's Image Songs has him reciting pi.
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Mike in Cesium recited pi to the annoyance of everyone around him, until his memory was erased.
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In Cowboy Bebop: Knockin' on Heaven's Door, Teen Genius Ed sings a little song that involves reciting pi. (With a few wrong numbers!)
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In the Star Trek: The Original Series episode "Wolf in the Fold", Spock Logic Bombs a villain who's taken over the Enterprise's computer by instructing it to "compute to the last decimal place the value of pi".
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Mouthful of Pi
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Subverted in Spanish comedy film Toc Toc. One of the characters has a very bad case of arithmomania but when asked about Pi he just says "3.1416" (although he lampshades that he is refraining himself)
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In Sliders episode Eggheads, Quinn Mallory recites pi to 13 places while playing a full-contact trivia/ball game on a giant Othello board.
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In the first episode of Malcolm in the Middle, on Malcolm's first day in the gifted class, Eraserhead challenges him to recite π to 50 places. Malcolm shoos him away.
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In one of the Time Warp Trio books, the main characters Logic Bomb a security robot that demands their ID numbers (which they don't have) by telling it that their numbers are three different irrational numbers, one of which is pi. The robot's attempts to calculate the exact decimal values of these numbers cause it to self-destruct.
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The title character from Life of Pi earns his nickname by being able to recite over two whole blackboards worth of digits in front of the classroom. He did this because his full name is Piscine, which sounds a lot like "pissing", and he wanted to get a different nickname before his classmates made that connection.
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Mouthful of Pi
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Sayonara, Zetsubou-Sensei had a kid recite the first few digits of pi...and get excessively hyped for this feat.
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In Ghostbusters: The Video Game, the Stasis Stream Amplifier upgrade has the flow oscillate at pi to the fifth decimal place.
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Futurama:
One episode mentions the last digit of Pi as a game show question. The joke, of course, is that unless our understanding of mathematics is proven wrong within the next thousand years, there is no last digit of pi.
There is a Πth Avenue in New New York and ΠKEA stores.
In a special feature of the first Futurama movie, there is a math lecture and one of the topics is about pi. The lecturer asks the audience (that is, the Futurama staff which is chock full of math PhDs) how many digits of pi they know. Eventually, Matt Groening starts rattling off the correct digits...then some nonsense digits before ending with "333...and then just a whole bunch of 3's!"
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In the Netrunner collectible card game there exists a card "PI in the 'Face"; its cover art includes a decimal expansion of the number Pi.
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The first episode of Hell Girl: The Cauldron of Three had Enma Ai ask the person she was taking to hell (a teacher) to recite pi while ferrying him there.
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Mouthful of Pi
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In Magic: The Gathering, Quandrix students take it one step further by reciting pi backwards.maths noteThis is impossible because pi is irrational - it keeps going forever, so there's nowhere to even begin reciting the whole thing backwards. It's unclear if this is intended them going Beyond the Impossible, or just a case of Writers Cannot Do Math. An alternative interpretation is that the students like to recite the first N digits of pi backwards, which is very much doable.
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Thai exam cheating heist movie Bad Genius has one of the characters rattling off digits of Pi as establishing moment of his intelligence and rivalry with main character Lynn, another straight-A student.
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Bruno recites a few digits of pi to reassure herself that she's okay.
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In Anathem, chapter four of "The Book" consists of a large number of digits of pi, which avout are expected to memorize as a punishment.
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Moe the Clown does this in Phoenix Wright: Ace Attorney – Justice For All. It isn't to show intelligence, it's just one of his many puns.
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David from What to Say Next recites hundreds of digits of pi to calm himself when he's stressed out.
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In the manga Fate/EXTRA CCC Fox Tail, Saber/Suzuka Gozen starts bragging about her intelligence. Caster/Tamamo no Mae dares her to prove it by reciting the exact value of pi. Suzuka says she's not going to fall for that because pi has an infinite number of digits. Leo and Rani comment they have memorized pi to the 100th decimal, which shocks Hakuno.
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A mostly forgotten character in Peanuts was 5, a kid whose family had numbers instead of names. In one strip where he appeared, Linus asked Charlie Brown what sort of name he'd like if that were the case with everyone:
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Kureiji Ollie of hololive once held a stream that was nothing but her reciting Pi from memory. She managed to get around 2,400 digits.
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Mouthful of Pi
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In Cryptonomicon, Enoch Root says that where he grew up, memorising the digits of Pi was as close as they got to entertainment.
Of course, when Enoch was a boy, the value of pi was known to fewer than 40 digits...possibly a lot fewer, since we don't know how old he really is.
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Foxtrot:
One strip had Jason Fox reciting enough digits of pi to fill several panels after Paige asks him what it is. In the last panel, implied to take place hours later with Jason still reciting, she exclaims, "Mother, how is this MY fault?"
Another strip had a scene at a nerd camp that Jason and Marcus were attending. When a kid is late for Roll Call, the counselor tells him to do a pushup and recite pi to thirty places.
Another strip involved hiking the football on the count of pi. Naturally, they never got around to actually hiking the ball.
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In Metal Gear Solid: Peace Walker, the Boss AI contained in Peace Walker's AI Pod will attempt to recite pi as Snake removes the pod's memory boards. After a few are removed, it will incorrectly state the number as "3.2546373698888...", and when even more are removed, it will struggle to give the precise number, estimating it as "about 3."
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LoadingReadyRun's CheckPoint has Graham start to recite all the digits of pi in honor of it being Pi Day, cuts to "Time passes", and then to him finishing, and commenting that it was shorter than he thought. The last number was a 6.
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During one of SmallAnt's Super Mario Odyssey streams, he mentions that he tried memorizing pi out of boredom while he was in school, and recites it to 40 decimal places to prove he still knows it. He then claims it's really not that impressive or useful to know, and jokes that the real geniuses are the people who just use the pi button on their calculator instead.
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Mike: Bookseller: "Lark to cash/wrap 3.141592653589."
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Doctor Who:
In "The Five Doctors", the correct path across a trapped chessboard is based on pi... somehow. The Master has it memorized well enough to dance across the chessboard, and the First Doctor knows enough to get himself and Tegan across.
The Doctor reels off the square root of pi to thirty decimal placesnote 1.772453850905516027298167483341 in "Midnight". And the possessed woman who's copying everything he says recites it too. At the same time. Out of sync by several digits. By now everyone's realized that something is very wrong with the woman, but it's at this point when they start getting suspicious of the Doctor, too. Completely Played for Drama.
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In The Adventures of Jimmy Neutron, Boy Genius, Jimmy stops his Nanobots' second reign of terror by tricking them into deciphering the value of Pi. After a stressful read-through of all the digits, they seize up and overload on "five". He got the idea from seeing his Bumbling Dad with a lot of pie.
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Person of Interest. In the episode "2-Pi-R", Harold Finch is posing as a substitute teacher and on finding that Everybody Hates Mathematics gives them an inspiring speech about how all of the world’s infinite possibilities are contained within the mathematical constant Pi. Later Finch, who is paranoid about hiding his identity, tells a Teen Genius that his phone number is contained somewhere in the first 3000 digits of Pi to challenge him to find it. In later episodes Team Machine is shown using Pi as a combination code.
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In Digimon Adventure: (2020), on episode 38, Joe Kido recites a bunch of things, including the first 41 digits of pi, to.....combat Mephistomon's mind control chant on some mook Digimon. Somehow, it works.
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In Pearls Before Swine, Goat tries to recite pi as a pickup line. It doesn't work.
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In Never Been Kissed, the Denominators put on a bake sale with a banner reading: "Pie = $1.00. Pi = 3.1457869986". Only the first two digits after that decimal point are correct, the rest is gibberish.
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If you play as Ami/Sailor Mercury in the Sega Genesis Sailor Moon game, she starts off the second level beginning to recite pi before Luna interrupts her.
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In Mountain of Faith, Marisa, getting bored of going through the stages, grumbles that she could recite pi to a thousand places by the time she got to her destination. Cirno, in "A Genius Comes When You Least Expect!", one-ups her by claiming to know pi's EXACT value (the last digit, is, of course, 9; see Richard Feynman in Real Life below).
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On Stargate Atlantis, Rodney tracked his memory loss by reciting pi to twelve places every so often.
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In Violet, Julia once promised two men that she'd sleep with whoever could recite the most digits. They took turns reciting hundreds of digits, but in the end, she went with a guy who claimed he could generate random numbers.
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 Mouthful of Pi / int_e8343108
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In the third episode of Angel Beats!, after Noda questions Takeyama's usefulness, Takeyama literally drives him into submission by reciting hundreds of digits of pi.
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Parodied by Rapunzel in Pocket Princesses. She can recite pie to 4,256 fillings.
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 Mouthful of Pi / int_ecee4546
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The Librarians: In "And the Apple of Discord", Flynn attempts to Logic Bomb the Apple-influenced Cassandra by asking her the last digit of pi, but Cassandra simply scoffs at the attempt. Jacob has better success when he brings up Euler's number instead (and claims the last digit is 6).
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 Mouthful of Pi / int_f10619d8
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In Tales of the Abyss, Lorelei's fonon frequency is Pi.
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 Mouthful of Pi / int_f1112575
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Mouthful of Pi
 Mouthful of Pi / int_f1112575
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In one of the books in Bryan Davis' Dragons in Our Midst series, part-dragon genius Ashley has to verbally calculate the square root of pi out to a certain number of digits as a passcode for her own (artificially intelligent, talking, almost-as-smart-as-her) computer.
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 Mouthful of Pi / int_f2da188a
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Mouthful of Pi
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The Batman episode "Q&A" involved the Cluemaster, a bitter ex-child genius hosting a deadly mock game show for the people he believes cheated them out of a win. Rules were simple- everyone gets one question, on any topic. They win and he lets them go free if they can ask him a question he doesn't know the answer to. One of them tries asking him the exact value of pi- he dismisses the question as being impossible to answer and recognizes it as likely being a stalling tactic, but in the name of being a fair sport, he recites the first one hundred digits just to prove he's not weaseling out of it. Batman ruins the scheme by asking him "What is the true identity of the Batman?" Ironically, he is actually not a fair sport when he fails to answer, attempting to renege on the deal.
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The following is a list of statements referring to the current page from other pages.

 Mouthful of Pi
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Dialogue
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Intelligence Tropes
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Math Tropes
 Angel Beats! / int_331f410b
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Mouthful of Pi
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Mouthful of Pi
 Legion of X (Comic Book) / int_331f410b
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 The Cartoon History of the Universe (Comic Book) / int_331f410b
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 FoxTrot (Comic Strip) / int_331f410b
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 Harry Potter and the Methods of Rationality / Fan Fic / int_331f410b
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 Snuggles the Symbiote (Fanfic) / int_331f410b
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 π / int_331f410b
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Mouthful of Pi
 Five Nights at Freddy's: Fazbear Frights / int_331f410b
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 Infinite Stratos / int_331f410b
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 Life of Pi / int_331f410b
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 The Ancestral Trail / int_331f410b
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 Aurora (Singer) (Music) / int_331f410b
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 Avalon (1999) (Webcomic) / int_331f410b
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