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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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9:12
Can you save the target from his assassin in a square room with bouncy walls?
9:32
Can you stack four colored cubes so that each color only shows once on each side?
10:31
Set theory is the foundation of all of mathematics. How does it handle infinity?
9:36
When you think about math, what do you think of knots? Probably... knot.
13:02
Infinities come in different sizes. So what's the right way to describe the sum?
10:21
In SET, what is the maximum number of cards you can deal that might not contain a SET?
10:50
If Fermat had a little more room in his margin, what proof would he have written there?
10:07
In the physical world, objects are made of simpler parts. What are numbers made of?
9:35
Could you explain numbers to someone without using the notion of a number?
7:17
What shape do you most associate with a standard analog clock? Circle or... torus?
8:01
What happens when you divide things that aren’t numbers?
8:57
You know the Golden Ratio, but what is the Silver Ratio?