All Episodes

The Assassin Puzzle

Can you save the target from his assassin in a square room with bouncy walls?

Instant Insanity Puzzle

Can you stack four colored cubes so that each color only shows once on each side?

Defining Infinity

Set theory is the foundation of all of mathematics. How does it handle infinity?

Unraveling DNA with Rational Tangles

When you think about math, what do you think of knots? Probably... knot.

How Big are All Infinities Combined? (Cantor's Paradox)

Infinities come in different sizes. So what's the right way to describe the sum?

The Geometry of SET

In SET, what is the maximum number of cards you can deal that might not contain a SET?

What was Fermat’s “Marvelous" Proof?

If Fermat had a little more room in his margin, what proof would he have written there?

What are Numbers Made of?

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)

Could you explain numbers to someone without using the notion of a number?

Telling Time on a Torus

What shape do you most associate with a standard analog clock? Circle or... torus?

How to Divide by "Zero"

What happens when you divide things that aren’t numbers?

Beyond the Golden Ratio

You know the Golden Ratio, but what is the Silver Ratio?

Proving Brouwer's Fixed Point Theorem

The proof for Brouwer's Fixed Point Theorem uses a bridge between geometry and algebra.

The Mathematics of Diffie-Hellman Key Exchange

How can two people share the same key without someone else getting a hold of it?

This Video was Not Encrypted with RSA

Here we break down Asymmetric crypto and more.

Associahedra: The Shapes of Multiplication

What happens when you multiply shapes?

The Multiplication Multiverse

What happens if you multiply things that aren’t numbers?