3Blue1Brown

Intro

What is Wordle?

But how does bitcoin actually work?

Initial ideas

The Bug

The most unexpected answer to a counting puzzle

But what is the Fourier Transform? A visual introduction.

Introduction

The hardest problem on the hardest test

Exponential growth and epidemics

How the best first guess is chosen

Simulating an epidemic

This problem seems hard, then it doesn't, but it really is

Information theory basics

Fake sphere proof

Fake pi = 4 proof

Does this ruin the game?

Incorporating word frequencies

Final performance

Fake proof that all triangles are isosceles

How secure is 256 bit security?

Solving Wordle using information theory

Why do prime numbers make these spirals?

Why do colliding blocks compute pi?

Group theory and why I love 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000

Where do convolutions show up?

Oh, wait, actually the best Wordle opener is not “crane”…

The essence of calculus

The pattern

Visualizing quaternions (4d numbers) with stereographic projection

Roots of polynomials

The players

Add two random variables

Who cares about topology? (Inscribed rectangle problem)

What is a Hologram?

Recap, the surprise pi

What does it feel like to invent math?

But WHY is a sphere's surface area four times its shadow?

How to lie using visual proofs

Why is pi here? And why is it squared? A geometric answer to the Basel problem

Newton’s method

Featured guests

Image processing

Moving average analogy

How to start

Music And Measure Theory

Moving averages

Alice's initial thoughts

Bayes theorem, and making probability intuitive

The impossible chessboard puzzle