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Season 2018
2018x1
But what is the Fourier Transform? A visual introduction
Episode overview
An animated introduction to the Fourier Transform, winding graphs around circles.
An animated introduction to the Fourier Transform, winding graphs around circles.
The Heisenberg uncertainty principle is just one specific example of a much more general, relatable, non-quantum phenomenon.
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.
A most beautiful proof of the Basel problem, using light.
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?
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?
A story of winding numbers and composition.
A story of winding numbers and composition.
A new and more circularly proof of a famous infinite product for pi.
A new and more circularly proof of a famous infinite product for pi.
A visual for derivatives which generalizes more nicely to topics beyond calculus.
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.
Intuitions for divergence and curl, and where they come up in physics.
A beautiful proof of why slicing a cone gives an ellipse.
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.
How to think about this 4d number system in our 3d space.
This episode has no summary.
This episode has no summary.
Here we look at some of the order amidst chaos in turbulence.
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.
Solving a discrete math puzzle using topology.
2018x14
Season finale
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.
Two lovely ways of relating a sphere's surface area to a circle.
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