Infinite Lighthouses and π // TRAIN BRAIN

Infinite Lighthouses and π

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Or, for reference: https://youtu.be/d-o3eB9sfls

3Blue1Brown

3blue1brown, by Grant Sanderson, is some combination of math and entertainment, depending on your disposition. The goal is for explanations to be driven by animations and for difficult problems to be made simple with changes in perspective. Contact and F...

Simulating the electric field and a moving charge

How the Mandelbrot set is defined

A challenging puzzle about subset sums

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Why do we call them "scalars"?

A beautiful international math olympiad problem

Definition of a "bit", in information theory

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What is a group?

How to derive a formula for π

The limit of limiting arguments

For anyone who might not know how links in shorts work

Infinite Lighthouses and π

"Proof" of a sphere's surface area

Can you even imagine 2^256?

Order from chaos

The surface area of a sphere

A short on shorts

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These integrals all equal π, until...

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Error correction is incredible

The chessboard and coins puzzle

Prime spirals

The barber pole effect

Fourier series

Seeing with sound

The standard explanation of a prism falls short

I'm still astounded this is true

Don't let it fool you!

Prime spirals

X-rays "faster" than the speed of light, and more refractive index questions | Optics puzzles part 4

You can't explain prisms without understanding springs | Optics puzzles part 3

The origin of light, scattering, and polarization | Barber pole, part 2

This demo tests your understanding of light | Barber pole, part 1

Wanna help judge SoME3?

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How They Fool Ya | Mathematical parody of Hallelujah

X+Y, in probability, is a beautiful mess | Visualizing continuous convolutions

Why π is in the normal distribution (beyond integral tricks)

But what is a convolution?

Researchers thought this was a bug (Borwein integrals)

How to lie using visual proofs

Olympiad level counting

The mathematically optimal Wordle strategy

Alice, Bob, and the average shadow of a cube

A few of the best math explainers from this summer

Where Newton meets Mandelbrot (Holomorphic dynamics)

Newton's Fractal (which Newton knew nothing about)

A quick trick for computing eigenvalues | Essence of linear algebra, chapter 15

How (and why) to raise e to the power of a matrix | DE6

Hamming codes part 2, the elegance of it all

Hamming codes, h■w to ov■rco■e n■ise.

Why I love 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000

The impossible chessboard puzzle

Contact Tracing and Privacy Protection (via Nicky Case)

Lockdown math announcement

Exponential growth and epidemics

The quick proof of Bayes' theorem

Bayes theorem, and making probability intuitive

Why do prime numbers make these spirals?

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

Understanding e to the i pi in 3.14 minutes | DE5

Pure Fourier series animation montage

But what is a Fourier series? From heat flow to circle drawings | DE4

Solving the heat equation | DE3

But what is a partial differential equation? | DE2

Differential equations, studying the unsolvable | DE1

Cramer's rule, explained geometrically | Essence of linear algebra, chapter 12

How colliding blocks act like a beam of light...to compute pi.

So why do colliding blocks compute pi?

The most unexpected answer to a counting puzzle