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Intro
What is Wordle?
Initial ideas
But how does bitcoin actually work?
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
Information theory basics
This problem seems hard, then it doesn't, but it really is
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?
The essence of calculus
Where do convolutions show up?
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”…
The pattern
Visualizing quaternions (4d numbers) with stereographic projection
Roots of polynomials
The players
Add two random variables
Recap, the surprise pi
What is a Hologram?
Who cares about topology? (Inscribed rectangle problem)
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
To comb a hairy ball
Why is pi here? And why is it squared? A geometric answer to the Basel problem
Newton’s method
Image processing
Featured guests
Moving average analogy
How to start
Moving averages
Music And Measure Theory
Alice's initial thoughts
Bayes theorem, and making probability intuitive