What is Wordle?

Intro

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.

The hardest problem on the hardest test

Exponential growth and epidemics

Introduction

Simulating an epidemic

How the best first guess is chosen

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

Fake proof that all triangles are isosceles

How secure is 256 bit security?

Final performance

Why do prime numbers make these spirals?

Solving Wordle using information theory

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

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

Where do convolutions show up?

The essence of calculus

The pattern

Visualizing quaternions (4d numbers) with stereographic projection

The players

Roots of polynomials

Add two random variables

Who cares about topology? (Inscribed rectangle problem)

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

What does it feel like to invent math?

Recap, the surprise pi

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

Featured guests

Newton’s method

How to lie using visual proofs

How to start

Moving average analogy

Image processing

Music And Measure Theory

What is a Hologram?

Moving averages

Alice's initial thoughts

Bayes theorem, and making probability intuitive

The impossible chessboard puzzle