3Blue1Brown

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2018
2018x1
But what is the Fourier Transform? A visual introduction
Episode overview
An animated introduction to the Fourier Transform, winding graphs around circles.
2018x2
The more general uncertainty principle, beyond quantum
Episode overview
The Heisenberg uncertainty principle is just one specific example of a much more general, relatable, non-quantum phenomenon.
2018x3
Why is pi here? And why is it squared? A geometric answer to the Basel problem
Episode overview
A most beautiful proof of the Basel problem, using light.
2018x4
How pi was almost 6.283185...
Episode overview
Happy pi day! Did you know that in some of his notes, Euler used the symbol pi to represent 6.28..., before the more familiar 3.14... took off as a standard?
2018x5
Winding numbers and domain coloring
Episode overview
A story of winding numbers and composition.
2018x6
The Wallis product for pi, proved geometrically
Episode overview
A new and more circularly proof of a famous infinite product for pi.
2018x7
What they won't teach you in calculus
Episode overview
A visual for derivatives which generalizes more nicely to topics beyond calculus.
2018x8
Divergence and curl: The language of Maxwell's equations, fluid flow, and more
Episode overview
Intuitions for divergence and curl, and where they come up in physics.
2018x9
Why slicing a cone gives an ellipse
Episode overview
A beautiful proof of why slicing a cone gives an ellipse.
2018x10
Visualizing quaternions (4d numbers) with stereographic projection
Episode overview
How to think about this 4d number system in our 3d space.
2018x11
Quaternions and 3d rotation, explained interactively
Episode overview
This episode has no summary.
2018x12
Visualizing turbulence
Episode overview
Here we look at some of the order amidst chaos in turbulence.
2018x13
Sneaky Topology | The Borsuk-Ulam theorem and stolen necklaces
Episode overview
Solving a discrete math puzzle using topology.
2018x14
But WHY is a sphere's surface area four times its shadow?
Episode overview
Two lovely ways of relating a sphere's surface area to a circle.