2. Everything around us can be represented and understood through numbers.
3. If you graph these numbers, patterns emerge. Therefore: There are patterns everywhere in nature.
A brilliant mathematician and his home-built supercomputer Euclid search for the underlying patterns of the universe.Max Cohen is a reclusive, paranoid, migraine-afflicted genius driven by the unshakable belief that the universe can be explained entirely through math. Chased by agents of a Wall Street firm interested in profiting from his work as well as a sect of Hasidic Jews who want him to help find patterns in the Torah, Max stumbles upon a 216-digit number that seems to hold some universal secret. As he continues his research, his headaches worsen and he begins experiencing vivid hallucinations. Though he pushes on, determined to puzzle out the number's meaning, his mind might not be ready to comprehend it.Shot in minimalist black and white, the film is mostly atmosphere, with relatively little dialogue. At its core, it's a Mind Screw with a Gainax Ending, but an intriguing one indeed. The whole experience is often compared to Eraserhead.π is the directorial debut of Darren Aronofsky, who also wrote the film. It was made for a mere $60,000 and won the 1998 Sundance Film Festival award for Best Director. In his first film-score work, the movie's soundtrack was assembled by Clint Mansell of "Lux Aeterna" fame, who contributed the frenetic drum-and-bass theme.
Animal Motifs: Max finds ants as well as goo infesting his apartment after he loads it into his computer Euclid. A possible interpretation is that the number, which is the blueprint for all creation, causes Euclid to begin creating simple organic matter. The goo and ants also fit into the themes of madness and decay that increasingly plague Max.
Asexual: Max isn't interested when his pretty neighbor constantly hits on him and doesn't seem interested in men, either. Due to his anti-social behavior, he is likely asexual. There are hints during one of his last hallucinations that he does yearn for a romantic connection to his neighbor, though.
Body Horror: Subtle. A small, hebrew-letter shaped lump appears in Max's head. This, and his headaches getting worse, and Sol's two strokes, all imply that the number can literally mess with your head.
Book Ends: "When I was a little kid my mother told me not to stare into the sun. So once when I was six, I did" is said at the beginning and end of the film.
Brown Note: The film is about a number sequence that helps define the universe. However, the process of determining this number is fatally destructive to a computer, be it machine or human.
Child Hater: Downplayed, then subverted. Max is annoyed when the young neighbor girl tries to constantly test him on his math skills. He warms up to her by the end, it seems.
Combat Pragmatist: Max prefers to run from Marcy Dawson's thugs but at one point, they chase him into a grocery store where he grabs a can of soup and uses it to mass effect.
Cyber Punk: Max's apartment is taken up by a super-computer so every scene at home has a ton of wires and machinery everywhere. The evil stock firm further tips it into this genre.
Formulaic Magic: Max's dogmatic treatment of math as "the language of nature" seems to push past "math is capable of explaining everything in existence" into "math determines our existence." The effects of the number point to the latter.
Instant A.I., Just Add Water: What happens after Max connects the mysterious Ming-Mecca chip to Euclid: the extravagantly-cheap, lovingly-customized mainframe (threatening to overrun every square centimeter of Max's tiny fortress of an apartment). That is, if one can believe Sol—outwardly rationalistic, yet painfully aware of forbidden mysticism—when the former professor explains how the 216-digit number makes machines "aware of their silicon nature."
Intelligence Equals Isolation: Max's quest for the universal number has left him utterly disconnected from the rest of humanity, to the extent that he even fears leaving his apartment if he could run into someone.
Logic Bomb: The universal number for both computers and people.
Mad Mathematician: Max is already neurotic before he starts going insane from the number.
Madness Mantra: Max "restates his assumptions" several times throughout the film, which includes his various theories as well as the story of how he started getting migraines after looking into the sun too long.
Maybe Magic, Maybe Mundane: Either the number really is connected to God and Max's insanity is due to some supernatural force, or the number is just a really complex equation that Max obsesses over to the point of insanity. The climax counts as well since it could be literal or symbolic.
Minimalistic Cover Art: Some posters (and covers of a few DVD versions) of the Darren Aronofsky film π were this. All it showed is the ratio's mathematical symbol.
Mouthful of Pi: Not strictly pi, but Max can do rather complicated arithmetic in his head. The opening credits do show Pi itself counted out to thousands of numbers.
Near Death Experience: In the climax, Max experiences his greatest migraine attack so far. As he goes mad from the pain, he suddenly finds himself in a white void and recites the numerical designation of God's name which he was never supposed to discover. His neighbor begs him to come back and comforts him in her arms when he is resuscitated. Then it turns out that he was hallucinating all of it and is truly alone.
Nonindicative Name: Neither the actual number π, nor what it represents (the ratio of the circumference of a circle to its diameter), is important to the plot of this film at all.
The Professor: Sol, Max's mentor and one of the few people Max actually talks to.
Religion is Magic: Played straight and subverted in equal measure. The Kabbalistic Jews know about the universal number, and it is related to the Torah, but they are unable to discover it themselves. In the end, they are no closer to it than a stockbroking firm.
Right Through the Wall: Max can hear his neighbor having sex with her boyfriend right through the wall of his apartment. Not played for laughs however; at the same time Max is obsessively working on his computer to pursue the universal number, emphasizing how detached he is from everyday life.
These Are Things Man Was Not Meant to Know: The 216-digit number repeatedly crashes Euclid and drives Max insane. It's also implied that Sol's second stroke came about because he started researching the number again. It's repeatedly linked with the sun, which fried Max's optic nerves when he gazed at it and killed Icarus when he flew too close to it.
Through the Eyes of Madness: There is one scene which is clearly a hallucination: Max finding an human brain in the subway. The rest? Who knows?
Video Full Of Film Clips: A music video for the soundtrack's "πr^2" is included on the DVD, with shots from the film interspersed with random color footage of ants (a major recurring motif).
White Void Room: In one of his visions, Max finds himself in exactly that setting. It's implied that he's standing on the border of life and death as he calmly starts to recite the universal number, which has previously been noted to possibly be God's true name. He wakes up from this state, only to realize that he was probably hallucinating.
Several mathematical facts get mixed up (for example, the golden ratio is usually phi, not theta), but it doesn't detract too much from the plot.
Max guesses that the Jews have already "intoned" every possible name of God, which the rabbi does not deny. This would be completely impossible if each name were a 216 digit number. However, earlier Lenny shows that words in Hebrew have numeric values based on the sum of the values of their letters, so the Jews might actually be looking for a word that adds up to 216. Barring some unmentioned grammatical limitations, it would probably still be impossible to intone every single possible permutation.