S2018 E1 • But what is the Fourier Transform? A visual introduction

An animated introduction to the Fourier Transform, winding graphs around circles.

Première diffusion : 26 janvier 2018

S2018 E2 • The more general uncertainty principle, beyond quantum

The Heisenberg uncertainty principle is just one specific example of a much more general, relatable, non-quantum phenomenon.

Première diffusion : 24 février 2018

S2018 E3 • Why is pi here? And why is it squared? A geometric answer to the Basel problem

A most beautiful proof of the Basel problem, using light.

Première diffusion : 2 mars 2018

S2018 E4 • How pi was almost 6.283185...

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?

Première diffusion : 14 mars 2018

S2018 E5 • How to solve 2D equations using color

A story of winding numbers and composition.

Première diffusion : 24 mars 2018

S2018 E6 • The Wallis product for pi, proved geometrically

A new and more circularly proof of a famous infinite product for pi.

Première diffusion : 20 avril 2018

S2018 E7 • What they won't teach you in calculus

A visual for derivatives which generalizes more nicely to topics beyond calculus.

Première diffusion : 19 mai 2018

S2018 E8 • Divergence and curl: The language of Maxwell's equations, fluid flow, and more

Intuitions for divergence and curl, and where they come up in physics.

Première diffusion : 21 juin 2018

S2018 E9 • What does genius look like in math? Where does it come from? (Dandelin spheres)

A beautiful proof of why slicing a cone gives an ellipse.

Première diffusion : 1 août 2018

S2018 E10 • What are quaternions, and how do you visualize them? A story of four dimensions.

How to think about this 4d number system in our 3d space.

Première diffusion : 6 septembre 2018

S2018 E11 • Quaternions and 3d rotation, explained interactively

Première diffusion : 26 octobre 2018

S2018 E12 • Visualizing turbulence with a home demo

Here we look at some of the order amidst chaos in turbulence.

Première diffusion : 7 novembre 2018

S2018 E13 • Sneaky Topology

Solving a discrete math puzzle using topology.

Première diffusion : 18 novembre 2018

S2018 E14 • But WHY is a sphere's surface area four times its shadow?

Two lovely ways of relating a sphere's surface area to a circle.

Première diffusion : 2 décembre 2018