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Can We Hear Shapes?

Can We Hear Shapes?

Season 1 Episode 6
10:35
When Pi is Not 3.14

When Pi is Not 3.14

Season 1 Episode 7
11:31
Singularities Explained

Singularities Explained

Season 1 Episode 9
10:22
Kill the Mathematical Hydra

Kill the Mathematical Hydra

Season 1 Episode 10
13:29
How Infinity Explains the Finite

How Infinity Explains the Finite

Season 1 Episode 11
11:46
The Mathematics of Quantum Computers

The Mathematics of Quantum Computers

Season 1 Episode 12
12:35
Splitting Rent with Triangles

Splitting Rent with Triangles

Season 1 Episode 13
16:21
Infinite Chess

Infinite Chess

Season 1 Episode 14
13:21
Proving Pick's Theorem

Proving Pick's Theorem

Season 1 Episode 16
11:17
What is a Random Walk?

What is a Random Walk?

Season 1 Episode 17
12:35
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Infinite Series

A Hierarchy of Infinities

Season 1 Episode 4

There are different sizes of infinity. It turns out that some are larger than others. Mathematician Kelsey Houston-Edwards breaks down what these different sizes are and where they belong in The Hierarchy of Infinities.

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Season
The Assassin Puzzle
9:12
Can you save the target from his assassin in a square room with bouncy walls?
Instant Insanity Puzzle
9:32
Can you stack four colored cubes so that each color only shows once on each side?
Defining Infinity
10:31
Set theory is the foundation of all of mathematics. How does it handle infinity?
Unraveling DNA with Rational Tangles
9:36
When you think about math, what do you think of knots? Probably... knot.
How Big are All Infinities Combined? (Cantor's Paradox)
13:02
Infinities come in different sizes. So what's the right way to describe the sum?
The Geometry of SET
10:21
In SET, what is the maximum number of cards you can deal that might not contain a SET?
What was Fermat’s “Marvelous" Proof?
10:50
If Fermat had a little more room in his margin, what proof would he have written there?
What are Numbers Made of?
10:07
In the physical world, objects are made of simpler parts. What are numbers made of?
What Does It Mean to Be a Number? (The Peano Axioms)
9:35
Could you explain numbers to someone without using the notion of a number?
Telling Time on a Torus
7:17
What shape do you most associate with a standard analog clock? Circle or... torus?
How to Divide by "Zero"
8:01
What happens when you divide things that aren’t numbers?
Beyond the Golden Ratio
8:57
You know the Golden Ratio, but what is the Silver Ratio?
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