What would you talk about if you met a mathematician at the movie theater?
Fourteen Fascinating Reviews of Mathematical Devices in Film

On the blackboard of a scientist's secret laboratory, on the bathroom mirror of a lonely genius...
There was always math there!

Here's a mad scientist who wants to blow up the city.
Even today, scientists are busy developing terrifying weapons, and they write down formulas on the blackboard that will fulfill their desires.
But wait, the equation is wrong?! At first glance, math might seem unrelated to film, but in reality, we encounter it everywhere in movies and dramas.
Math is everywhere: on a scientist's secret lab chalkboard, on a solitary genius's bathroom mirror, in a room filled with cubes you've been kidnapped from for no apparent reason, in the marks left by a serial killer.
The author, a popular blogger and mathematician, selects fourteen beloved math-related movies and shares entertaining stories about the math in them.
As we watch each film, we will delve into the fascinating world of mathematics that we have never known before, exploring the secrets of the number '1729', tuning machines, John Nash's game theory, and the laws of four-dimensional geometry.

On March 14, 2019 (known as Pi Day because of the English date notation 03/14), the 31,415,000,000,000,000,000,000 digits of π were discovered thanks to a program developed by Japanese Google engineer Emma Haruka Iwao.
But to be honest, calculating the number of decimal places of p this many times is meaningless from a mathematical perspective and should be considered an achievement of computer science.
However, as we observed the increasingly longer values ​​of π, we discovered that there was no pattern to the arrangement of digits after the decimal point.
No unique pattern is found in π.
No matter how perfectly it is determined, the numbers below the decimal point of p appear to be randomly selected.
Naturally, these characteristics of π have opened the door to all numerologists who wish to uncover some hidden meaning, recurring pattern or 'sequence' within π.
As in a Darren Aronofsky film.
--- 「Chapter 1.
"Is the meaning of life written in pie (p)?"

The area that Ramanujan spoke about the most was partitioning of natural numbers.
This method of writing a natural number N as a sum of positive integers is called 'partitioning N', and the number of divisions of N is written as p(N).
To help the audience better understand partitioning, Hardy explains in detail in the film the example of p(4) with a value of 5.
So we easily saw that the number 4 can be divided into five different ways.
All 1 + 1 + 1 + 1, 2 + 1 + 1, 2 + 2, 3 + 1, 4 (in fact, 3 + 1 and 1 + 3 are not included as they are considered the same division method).
There are seven ways to divide the number 5: 1 + 1 + 1 + 1 + 1, 2 + 1 + 1+ 1, 2 + 2 + 1, 3 + 1 + 1, 3 + 2, 4 + 1, and 5.
So, we denote p(5) = 7.
(Omitted) As such, the question naturally arises: 'Is there a way to calculate the number of divisions of a given natural number without having to write them down one by one, just like when counting the number of prime numbers?'
--- 「Chapter 4.
From "If a Hindu goddess tells you a mathematical proof, do you need to prove it?"

The International Mathematical Olympiad, which is the backdrop for the film, began in 1959.
This annual math competition is open to young people from over a hundred countries around the world.
Each country holds regional qualifiers to select six middle or high school students to represent the country. Students can participate multiple times if they have not yet started university education.
During the two days of the competition, each student solves six problems.
The problems are based on areas not typically included in school curricula, including algebra, combinatorics, number theory, and geometry.
No in-depth knowledge of mathematics is required to understand the problem theoretically.
In reality, the solutions to the problems are based on already known mathematical theorems, and only short and excellent solutions receive good scores.
--- Chapter 6.
Can you win the International Mathematical Olympiad with the Equation of Love?

The characters realize their error when they find an orange room with the number '665 972 545' engraved on it, which they had already entered and escaped from at the edge of the cube.
However, the number of the orange room was not the number mentioned at the beginning of the movie, but it was said to be the same room, which is another error that keeps appearing in the movie.
So the characters conclude that the rooms are moving.
According to the conversation between Worth and Riven, they need to study 'permutations' to predict the movement of the rooms.
What the characters understood was that the coordinates of the rooms that came out by adding up each digit of the numbers corresponded to the initial position before the cubic room moved.
To figure out how the rooms worked, Riven intuited that he had to subtract two from each digit of the number.

--- Chapter 9.
How to escape from a 3D space escape game?