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 } , 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.
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 have him not know what pi is at all: "Apple or cherry?"
Examples
- In the Cowboy Bebop movie, Teen Genius Ed sings a little song that involves reciting pi. (With a few wrong numbers!)
- Sayonara, Zetsubou-Sensei had a kid recite the first few digits of pi...and get excessively hyped for this feat.
- 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."
- 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.
- In The Prince of Tennis, one of Sadaharu Inui's Image Songs has him reciting pi.
- 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.
- Subverted in a Fourth-Wall Mail Slot omake of Eyeshield21, a reader asked how many digits of pi Hiruma can memorize. He replied, "3.14. If you need more than that, go check it from a book or something." The team mascot commented that he's the kind of guy who doesn't remember useless trivial stuffs.
- 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.
- 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.
- 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.
- 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.
- 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.
Solomon: And now you know why I hired outside contractors as the architects!
- 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.
- This is the motif of Darren Aronofsky's film π. The protagonist is a Mad Mathematician who seems to discover a 216-digit number that holds the Meaning of Life. In the climax of the film, he recites the numbers while having a breakdown. Ironically, the actual number pi appears nowhere in the movie except the opening credits. (The credits show pi to many decimal places, but only the first 8 digits after the decimal point are correct.)
- 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.
- In Night at the Museum: Battle of the Smithsonian the protagonist and his "girlfriend" have to solve a riddle to which the answer is Pi (something about the heart of the tomb of the pharaoh). They were helped by Bobblehead Einsteins, who proceed to tell them the (supposedly) correct combination. The protagonist constantly mixes them up, but the girlfriend remembers the numbers correctly. Apparently pi is less than ten digits long.
- In The Film of the Book Life of Pi, the title character writes it to a ludicrous length while introducing himself in elementary school. He does this to hopefully impress the kids enough so they would stop intentionally mispronouncing his actual name, Piscine, as "pissing". It works. From that day on, he's just "Pi".
- 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.
- 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" (altough he lampshades that he is refraining himself)
- In The Ancestral Trail, Richard defeats Madelbiot by asking him "What is the complete value of pi?"
- 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 was all well and good until they started getting 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.
- 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.
- 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. (Incidentially, 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.)
- Cadaeic Cadenza, a pi mnemonic taken to 14 chapters and 3835 digits, containing "Pilish" imitations of The Raven, Hamlet, etc. And then the author went even further with Not A Wake, which encodes over ten thousand digits.
- 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 then first letter of each word corresponds to a digit of pi (a=1, b=2, etc.).
- Bree from jPod did a grade-school report on pi and wound up becoming slightly freakishly obsessed with it.
- 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.
- 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.
- Two characters in Douglas Coupland's Microserfs engage in what the narrator calls a "pi fight".
- 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.
- 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.
- Aibou - a murdered genius mathematician leaves behind a series of apparent nonsense words that actually form a mnemonic for the first several digits of pi as a Dying Message.
- 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.
- 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.
- 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.
- Happens in Cutey Honey The Live to show that Honey Kisaragi/Cutey Honey and Miki Saotome/Sister Miki are not normal.
- 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 places^{note } 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.
- 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.
- 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".
- 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).
- 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.
- Grant has 3.14 as his "prisoner number" in Mythbusters's "Prison Escape" myth.
- In an episode of Sliders, Quinn Mallory recites pi to 13 places while playing a full-contact trivia/ball game on a giant Othello board.
- On Stargate Atlantis, Rodney tracked his memory loss by reciting pi to twelve places every so often.
- 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".
- 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.
- "Weird Al" Yankovic's "White & Nerdy" - "My myspace page is so totally pimped out/ Got people beggin' for my top 8 spaces/ Yo, I know pi to a thousand places/ Ain't got no grills, but I still wear braces..."
- Kate Bush wrote a song called "π", about a mathematician who's fascinated with the number, and some verses consist of her singing a few hundred digits.
- The Hard N Phirm song linked above is really more a parody of this.
- Songs to Wear Pants To once wrote a song to serve as a mnemonic for the first 50 digits of pi. Just count the letters in each word:
Man, I can't — I shan't — formulate an anthem where the words comprise mnemonics, dreaded mnemonics for pi. The numerals just bother me always, even the dry anterior. Try to request something lower (zero) in numerary aptitude. Even I, pantaloon gallant, I cannot actualize the requested mnemonics, the leading fifty, I...
- No points for guessing what famous song Public Enema used as the framework for their musical mnemonic unofficially titled "Mathematical Pi." Memorize the chorus and play along with Mouthful of Pi at home today!
- The rhyme "Secant, tangent, cosine, sine/Three point one four one five nine" appears in football chants/cheers at particularly nerdy colleges.
- This cover of "Ren'ai Circulation" is basically just a Kana Hanazawa sound-alike singing the first 400 or so digits of pi.
- 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 didn't get that far.
- 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.
- 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:
Charlie Brown: How about 3.14159?Linus: I don't know, Charlie Brown... I have a feeling that every Tom, Dick, and Harry would be called 3.14159!
- In Pearls Before Swine, Goat tries to recite pi as a pickup line. It doesn't work.
- 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.
Like so many concepts of Netrunner, this card's design can be traced back to R. Talsorian's Cyberpunk 2.0.2.0. Roleplaying Game. Interestingly, in Cyberpunk, PI in the 'Face is not a defense program for data forts, but an attack program used by Runners to fry a data fort's CPU. [...] If the program makes a successful attack, the CPU will be trapped calculating Pi.
- 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.)
- Moe the Clown does this in the second Phoenix Wright: Ace Attorney game. It isn't to show intelligence, it's just one of his many puns.
- 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.
- In Ratchet & Clank: Going Commando, Clank gets repaired by Ratchet, and nearly speaks the final digit of Pi when he wakes up.
- In Metal Gear Solid 4, Sunny can be heard singing the digits of pi before a Mission Briefing.
- In Tales of the Abyss, Lorelei's fonon frequency is Pi.
- 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).
- 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.
- In Ghostbusters: The Video Game, the Stasis Stream Amplifier upgrade has the flow oscillate at pi to the fifth decimal place.
- 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.
- This◊ Toothpaste For Dinner cartoon.
- According to this Nothing Comes Naturally strip, Cerine regularly uses pi as a password.
- This Saturday Morning Breakfast Cereal Comic.
- Legostar Galactica: Security Chief 46 takes offense to being asked to help with a mission on a world with a math-based culture:
46: What? Because I'm a robot I'm automatically good at math? That's just stupid!Bob: What's the 22nd decimal of π?46: 6. Damnit!
- 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.
- Mike: Bookseller: "Lark to cash/wrap 3.141592653589."
- Brüno recites a few digits of pi to reassure herself that she's okay.
Bruno: I hope I don't have amnesia or something. Oh, wait... Name? Bruno. Occupation? Vagrant writer. First ten digits of pi? Three point one four one five nine two six five four. Okay, I guess I'm okay.
- Parodied by Rapunzel in Pocket Princesses. She can recite pie to 4,256 fillings.
- Mike in Cesium recited pi to the annoyance of everyone around him, until his memory was erased.
- Pi was the basis of one hideously difficult puzzle in the Alternate Reality Game Lockjaw, as chronicled in The Unholy Saga of Where.gif.
"Day 7: ...Despite the fact that we've spent an entire friggin week on this problem, it should be simple high school mathematics from here on in. Day 8: 300 grown men and women suddenly simultaneously realize that they learned nothing in high school math.".
- Pi has become something of a Running Gag on Homestar Runner, so much so, in fact, that it even has its own article on the site's Wiki site.
- In one cartoon, Strong Bad receives an email that contains a computer virus that quickly takes over and messes up the website. One character finds himself in an issue of Teen Girl Squad. What is the issue number? It is "3.14159265and the rest"!
- 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.
- 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.
- Professor Frink shouts out "Pi is exactly 3!" to shock an audience of rowdy scientists into silence, apologizing afterward for taking such extreme measures.
- 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.)
- One episode of The Batman involved the Cluemaster, a bitter ex-child genius forcing the people who fixed the game where he lost to play a mock game show. 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, 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.
- Reversed in a Pinky and the Brain short on Animaniacs. Brain tells Pinky to ask him any question:
Pinky: All right, what is Pie?Brain: The ratio of the circumference a circle to its diameter having a value of eight decimal places of 3.14159265. But ask me something difficult, Pinky.
- 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!"
- Inverted in another episode where Professor Farnsworth is trying to get the attention of a room full of scientists all talking to each other. After repeatedly failing, he resorts to shouting "PI IS EXACTLY THREE!" and they immediately all turn to him and gasp in horror.
- "Donald In Mathmagic Land" has a circular bird who recites digits of pi. And gets them wrong.
- 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.
- Daniel Tammet, an Asperger's savant, holds the current European record of reciting 22,514 digits from memory. He describes the experience in his autobiography, Born on a Blue Day.
- Richard Feynman stated that he wanted to memorize the first 761 digits of pi because at that point, there is a sequence of six 9's so he could recite the numbers to there, then go "999999...and so on." "That point" was named in his honor afterwards. Douglas Hofstadter told the same anecdote. This may just be a genius thing.
- Taken to an extreme with the San Francisco Exploratorium's Pi Progression 2015. Each volunteer was given a yardstick with a digit of pi attached, then tasked with marching around the museum's pier. There was such a huge turnout that they ran out of materials, and the procession went continuously for nearly ten minutes.
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