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Infinite Series
Can We Hear Shapes?
Season 1
Episode 6
Mathematician Mark Kac asked the question “Can we hear the shape of a drum?” It was a question that took over 20 years to answer. Sine waves, fundamental frequencies, eigenvalues, this episode has got it all!
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14:17
What does the inside of a tesseract look like? Pascal’s Triangle can tell us.
13:31
Can you turn your pants inside out without taking your feet off the ground?
13:23
Using the harmonic series we can build an infinitely long bridge.
16:35
Classical computers struggle to crack modern encryption.
15:37
Only 4 steps stand between you and the secrets hidden behind RSA cryptography.
13:29
Can you produce a rational number by exchanging infinitely many digits of pi and e?
13:10
At one time, Wolverine served on four different superhero teams. How did he do it?
12:35
To understand finance, search algorithms and even evolution you need to understand Random
11:17
What is Pick's Theorem and how can we prove it?
8:44
How logic, induction, visuals, bijections, and a little algebra can prove surprising math theorems.
12:19
How long will it take to win a game of chess on an infinite chessboard?
16:21
You can find out how to fairly divide rent between three different people even when you do