## 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?

### Topology vs "a" Topology

What exactly is a topological space?

### 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?